моглабс-лого

moglabs PID Fast Servo Controller

moglabs-PID-Fast -Servo-Controller-product

Спецификације

  • Model: MOGLabs FSC
  • Type: Servo Controller
  • Intended Use: Laser frequency stabilisation and linewidth narrowing
  • Primary Application: High-bandwidth low-latency servo control

Упутства за употребу производа

Увод

The MOGLabs FSC is designed to provide high-bandwidth low-latency servo control for laser frequency stabilisation and linewidth narrowing.

Basic Feedback Control Theory

Feedback frequency stabilisation of lasers can be complex. It is recommended to review control theory textbooks and literature on laser frequency stabilisation for a better understanding.

Везе и контроле

Контроле предњег панела

The front panel controls are used for immediate adjustments and monitoring. These controls are essential for real-time adjustments during operation.

Rear Panel Controls and Connections

The rear panel controls and connections provide interfaces for external devices and peripherals. Properly connecting these ensures smooth operation and compatibility with external systems.

Унутрашњи ДИП прекидачи

The internal DIP switches offer additional configuration options. Understanding and correctly setting these switches are crucial for customizing the controller’s behavior.

ФАК

компанија Santec
Fast servo controller
Version 1.0.9, Rev 2­4 hardware

Ограничење одговорности
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Цопиригхт
Ауторска права © МОГ Лабораториес Пти Лтд (МОГЛабс) 2017 2025. Ниједан део ове публикације се не сме репродуковати, чувати у систему за проналажење или преносити, у било ком облику или на било који начин, електронски, механички, фотокопирањем или на други начин, без претходног писменог дозвола МОГЛабс-а.

Контакт

За даље информације контактирајте:

MOG Laboratories P/L 49 University St Carlton VIC 3053 АУСТРАЛИЈА +61 3 9939 0677 info@moglabs.com www.moglabs.com

Сантец ЛИС Цорпоратион 5823 Охкуса-Нењозака, Комаки Аицхи 485-0802 ЈАПАН +81 568 79 3535 ввв.сантец.цом

Увод

The MOGLabs FSC provides the critical elements of a high-bandwidth low-latency servo controller, primarily intended for laser frequency stabilisation and linewidth narrowing. The FSC can also be used for amplitude control, for example to create a “noise-eater” that stabilises the optical power of a laser, but in this manual we assume the more common application of frequency stabilisation.

1.1 Basic feedback control theory
Feedback frequency stabilisation of lasers can be complicated. We encourage readers to review control theory textbooks [1, 2] and literature on laser frequency stabilisation [3].
The concept of feedback control is shown schematically in figure 1.1. The frequency of the laser is measured with a frequency discriminator which generates an error signal that is proportional to the difference between the instantaneous laser frequency and the desired or setpoint frequency. Common discriminators include optical cavities and Pound-Drever-Hall (PDH) [4] or Ha¨nsch-Couillaud [5] detection; offset locking [6]; or many variations of atomic absorption spectroscopy [7­10].

0

+

Сигнал грешке

Серво

Контролни сигнал

Ласер

dV/df Frequency discriminator
Figure 1.1: Simplified block diagram of a feedback control loop.

1

2

Поглавље 1. Увод

1.1.1 Сигнали грешке
The key common feature of feedback control is that the error signal used for control should reverse sign as the laser frequency shifts above or below the setpoint, as in figure 1.2. From the error signal, a feedback servo or compensator generates a control signal for a transducer in the laser, such that the laser frequency is driven towards the desired setpoint. Critically, this control signal will change sign as the error signal changes sign, ensuring the laser frequency always gets pushed towards the setpoint, rather than away from it.

Грешка

Грешка

f
0
Фреквенција ф

f Frequency f
ERROR OFFSET

Figure 1.2: A theoretical dispersive error signal, proportional to the difference between a laser frequency and a setpoint frequency. An offset on the error signal shifts the lock point (right).
Note the distinction between an error signal and a control signal. An error signal is a measure of the difference between the actual and desired laser frequency, which in principle is instantaneous and noise-free. A control signal is generated from the error signal by a feedback servo or compensator. The control signal drives an actuator such as a piezo-electric transducer, the injection current of a laser diode, or an acousto-optic or electro-optic modulator, such that the laser frequency returns to the setpoint. Actuators have complicated response functions, with finite phase lags, frequencydependent gain, and resonances. A compensator should optimise the control response to reduce the error to the minimum possible.

1.1 Basic feedback control theory

3

1.1.2 Frequency response of a feedback servo
The operation of feedback servos is usually described in terms of the Fourier frequency response; that is, the gain of the feedback as a function of the frequency of a disturbance. For example, a common disturbance is mains frequency, = 50 Hz or 60 Hz. That disturbance will alter the laser frequency by some amount, at a rate of 50 or 60 Hz. The effect of the disturbance on the laser might be small (e.g. = 0 ± 1 kHz where 0 is the undisturbed laser frequency) or large ( = 0 ± 1 MHz). Regardless of the size of this disturbance, the Fourier frequency of the disturbance is either at 50 or 60 Hz. To suppress that disturbance, a feedback servo should have high gain at 50 and 60 Hz to be able to compensate.
The gain of a servo controller typically has a low-frequency limit, usually defined by the gain-bandwidth limit of the opamps used in the servo controller. The gain must also fall below unity gain (0 dB) at higher frequencies to avoid inducing oscillations in the control output, such as the familiar high-pitched squeal of audio systems (commonly called “audio feedback”). These oscillations occur for frequencies above the reciprocal of the minimum propagation delay of the combined laser, frequency discriminator, servo and actuator system. Typically this limit is dominated by the response time of the actuator. For the piezos used in external cavity diode lasers, the limit is typically a few kHz, and for the current modulation response of the laser diode, the limit is around 100 to 300kHz.
Figure 1.3 is a conceptual plot of gain against Fourier frequency for the FSC. To minimise the laser frequency error, the area under the gain plot should be maximised. PID (proportional integral and differential) servo controllers are a common approach, where the control signal is the sum of three components derived from the one input error signal. The proportional feedback (P) attempts to promptly compensate for disturbances, whereas integrator feedback (I) provides high gain for offsets and slow drifts, and differential feedback (D) adds extra gain for sudden changes.

4

Поглавље 1. Увод

Добитак (дБ)

High freq. cutoff Double integrator

60

FAST INT FAST GAIN
FAST DIFF DIFF GAIN (limit)

40

20

Интегратор

0

FAST LF GAIN (limit)

Интегратор

Пропорционално

Дифферентиатор

Филтер

SLOW INT

20101

102

103

104

105

106

107

108

Fourier frequency [Hz]

Figure 1.3: Conceptual Bode plot showing action of the fast (red) and slow (blue) controllers. The slow controller is either a single or double integrator with adjustable corner frequency. The fast controller is PID with adjustable corner frequencies and gain limits at the low and high frequencies. Optionally the differentiator can be disabled and replaced with a low-pass filter.

Везе и контроле

2.1 Контроле на предњој плочи
The front panel of the FSC has a large number of configuration options that allow the servo behaviour to be tuned and optimised.
Please note that switches and options may vary between hardware revisions, please consult the manual for your specific device as indicated by the serial number.moglabs-PID-Fast -Servo-Controller-fig (1)

Брзи серво контролер

АЦ ДЦ

ИНПУТ
ПД КСНУМКС
РЕФ
ЦХБ

+
­
FAST SIGN
+
­
SLOW SIGN

ИНТ

75 100 250

КСНУМКСк КСНУМКСк КСНУМКСк

10М 5М 2.5М

50

500

20к

500к ОФФ

1M

25

750 10к

1M 200k

750к

ОФФ

1к ОФФ

2M 100k

500к

ЕКСТ

50к

250к

25к

100к

СПАН
РАТЕ

SLOW INT

ФАСТ ИНТ

FAST DIFF/FILTER
12

6

18

0

24

БИАС
FREQ OFFSET

SLOW GAIN

FAST GAIN

DIFF GAIN

30 20 10
0

40

50

NESTED

60

СЦАН

MAX LOCK

СЛОВ

ГАИН ЛИМИТ

SCAN SCAN+P
ЛОЦК
ФАСТ

ERR OFFSET

СТАТУС

SLOW ERR

RAMP

FAST ERR

БИАС

ЦХБ

ФАСТ

ЦХА

СЛОВ

МОНКСНУМКС

SLOW ERR

RAMP

FAST ERR

БИАС

ЦХБ

ФАСТ

ЦХА

СЛОВ

МОНКСНУМКС

2.1.1 Configuration INPUT Selects error signal coupling mode; see figure 3.2. AC Fast error signal is AC-coupled, slow error is DC coupled. DC Both fast and slow error signals are DC-coupled. Signals are DC-coupled, and the front-panel ERROR OFFSET is applied for control of the lock point. CHB Selects input for channel B: photodetector, ground, or a variable 0 to 2.5 V reference set with the adjacent trimpot.
FAST SIGN Sign of the fast feedback. SLOW SIGN Sign of the slow feedback.
5

6

Везе и контроле

2.1.2 Рamp контролу
The internal ramp generator provides a sweep function for scanning the laser frequency typically via a piezo actuator, diode injection current, or both. A trigger output synchronised to the ramp is provided on the rear panel (TRIG, 1M ).
INT/EXT Internal or external ramp for frequency scanning.
RATE Trimpot to adjust internal sweep rate.
BIAS When DIP3 is enabled, the slow output, scaled by this trimpot, is added to the fast output. This bias feed-forward is typically required when adjusting the piezo actuator of an ECDL to prevent mode-hopping. However, this functionality is already provided by some laser controllers (such as the MOGLabs DLC) and should only be used when not provided elsewhere.
SPAN Adjusts the ramp height, and thus the extent of the frequency sweep.
FREQ OFFSET Adjusts the DC offset on the slow output, effectively providing a static shift of the laser frequency.

2.1.3 Loop variables
The loop variables allow the gain of the proportional, integrator and differentiator stages to be adjusted. For the integrator and differentiator stages, the gain is presented in terms of the unit gain frequency, sometimes referred to as the corner frequency.
SLOW INT Corner frequency of the slow servo integrator; can be disabled or adjusted from 25 Hz to 1 kHz.
SLOW GAIN Single-turn slow servo gain; from -20 dB to +20 dB.
FAST INT Corner frequency of the fast servo integrator; off or adjustable from 10 kHz to 2 MHz.

2.1 Контроле на предњој плочи

7

FAST GAIN Ten-turn fast servo proportional gain; from -10 dB to +50 dB.
FAST DIFF/FILTER Controls the high-frequency servo response. When set to “OFF”, the servo response remains proportional. When turned clockwise, the differentiator is enabled with the associated corner frequency. Note that decreasing the corner frequency increases the action of the differentiator. When set to an underlined value, the differentiator is disabled and instead a low-pass filter is applied to the servo output. This causes the response to roll-off above the specified frequency.
DIFF GAIN High-frequency gain limit on the fast servo; each increment changes the maximum gain by 6 dB. Has no effect unless the differentiator is enabled; that is, unless FAST DIFF is set to a value that is not underlined.

2.1.4 Lock controls
GAIN LIMIT Low-frequency gain limit on the fast servo, in dB. MAX represents the maximum available gain.
ERROR OFFSET DC offset applied to the error signals when INPUT mode is set to . Useful for precise tuning of the locking point or compensating for drift in the error signal. The adjacent trimpot is for adjusting the error offset of the slow servo relative to the fast servo, and may be adjusted to ensure the fast and slow servos drive towards the same exact frequency.
SLOW Engages the slow servo by changing SCAN to LOCK. When set to NESTED, the slow control voltage is fed into the fast error signal for very high gain at low frequencies in the absence of an actuator connected to the slow output.
FAST Controls the fast servo. When set to SCAN+P, the proportional feedback is fed into the fast output while the laser is scanning, allowing the feedback to be calibrated. Changing to LOCK stops the scan and engages full PID control.

8

Поглавље 2. Повезивање и контроле

STATUS Multi-colour indicator displaying status of the lock.
Green Power on, lock disabled. Orange Lock engaged but error signal out of range, indicating the lock
has failed. Blue Lock engaged and error signal is within limits.

2.1.5 Signal monitoring
Two rotary encoders select which of the specified signals is routed to the rear-panel MONITOR 1 and MONITOR 2 outputs. The TRIG output is a TTL compatible output (1M ) that switches from low to high at the centre of the sweep. The table below defines the signals.

CHA CHB FAST ERR SLOW ERR RAMP BIAS FAST SLOW

Channel A input Channel B input Error signal used by the fast servo Error signal used by the slow servo Ramp as applied to SLOW OUT Ramp as applied to FAST OUT when DIP3 enabled FAST OUT control signal SLOW OUT control signal

2.2 Контроле и прикључци на задњој плочи

9

2.2 Контроле и прикључци на задњој плочи

MONITOR 2 LOCK IN

МОНИТОР 1

SWEEP IN

GAIN IN

B IN

А ИН

серијал:

ТРИГ

FAST OUT SLOW OUT

МОД ИН

ПОВЕР Б

ПОВЕР А

All connectors are SMA, except as noted. All inputs are over-voltage protected to ±15 V.
IEC power in The unit should be preset to the appropriate voltage for your country. Please see appendix D for instructions on changing the power supply voltagе ако је потребно.
A IN, B IN Error signal inputs for channels A and B, typically photodetectors. High impedance, nominal range ±2 5 V. Channel B is unused unless the CHB switch on the front-panel is set to PD.
POWER A, B Low-noise DC power for photodetectors; ±12 V, 125 mA, supplied through an M8 connector (TE Connectivity part number 2-2172067-2, Digikey A121939-ND, 3-way male). Compatible with MOGLabs PDA and Thorlabs photodetectors. To be used with standard M8 cables, for example Digikey 277-4264-ND. Ensure that photodetectors are switched off when being connected to the power supplies to prevent their outputs railing.
GAIN IN Voltage-controlled proportional gain of fast servo, ±1 V , corresponding to the full-range of the front-panel knob. Replaces front-panel FAST GAIN control when DIP1 is enabled.
SWEEP IN External ramp input allows for arbitrary frequency scanning, 0 to 2.5 V. Signal must cross 1.25 V, which defines the centre of the sweep and the approximate lock point.

10

Поглавље 2. Повезивање и контроле

3 4

1 +12 В

1

3 -12 В.

4 0В

Figure 2.1: M8 connector pinout for POWER A, B.

MOD IN High-bandwidth modulation input, added directly to fast output, ±1 V if DIP4 is on. Note that if DIP4 is on, MOD IN should be connected to a supply, or properly terminated.
SLOW OUT Slow control signal output, 0 V to 2.5 V. Normally connected to a piezo driver or other slow actuator.
FAST OUT Fast control signal output, ±2 5 V. Normally connected to diode injection current, acousto- or electro-optic modulator, or other fast actuator.
MONITOR 1, 2 Selected signal output for monitoring.
TRIG Low to high TTL output at sweep centre, 1M .
LOCK IN TTL scan/lock control; 3.5 mm stereo connector, left/right (pins 2, 3) for slow/fast lock; low (ground) is active (enable lock). Front-panel scan/lock switch must be on SCAN for LOCK IN to have effect. Digikey cable CP-2207-ND provides a 3.5 mm plug with wire ends; red for slow lock, thin black for fast lock, and thick black for ground.

321

1 Ground 2 Fast lock 3 Slow lock

Figure 2.2: 3.5 mm stereo connector pinout for TTL scan/lock control.

2.3 Интерни DIP прекидачи

11

2.3 Интерни DIP прекидачи
There are several internal DIP switches that provide additional options, all set to OFF by default.
WARNING There is potential for exposure to high voltages inside the FSC, especially around the power supply.

ОФФ

1 Fast gain

Front-panel knob

2 Slow feedback Single integrator

3 Пристрасност

Ramp to slow only

4 External MOD Disabled

5 Оффсет

Нормално

6 Замах

Позитивно

7 Fast coupling DC

8 Fast offset

0

ON External signal Double integrator Ramp to fast and slow Enabled Fixed at midpoint Negative AC -1 V

DIP 1 If ON, fast servo gain is determined by the potential applied to the rear-panel GAIN IN connector instead of the front-panel FAST GAIN knob.
DIP 2 Slow servo is a single (OFF) or double (ON) integrator. Should be OFF if using “nested” slow and fast servo operation mode.
DIP 3 If ON, generate a bias current in proportion to the slow servo output to prevent mode-hops. Only enable if not already provided by the laser controller. Should be OFF when the FSC is used in combination with a MOGLabs DLC.
DIP 4 If ON, enables external modulation through the MOD IN connector on the rear panel. The modulation is added directly to FAST OUT. When enabled but not in use, the MOD IN input must be terminated to prevent undesired behaviour.
DIP 5 If ON, disables the front-panel offset knob and fixes the offset to the mid-point. Useful in external sweep mode, to avoid accidentally

12

Поглавље 2. Повезивање и контроле

changing the laser frequency by bumping the offset knob.
DIP 6 Reverses the direction of the sweep.
DIP 7 Fast AC. Should normally be ON, so that the fast error signal is AC coupled to the feedback servos, with time constant of 40 ms (25 Hz).
DIP 8 If ON, a -1 V offset is added to the fast output. DIP8 should be off when the FSC is used with MOGLabs lasers.

Feedback control loops

The FSC has two parallel feedback channels that can drive two actuators simultaneously: a “slow” actuator, typically used to change the laser frequency by a large amount on slow timescales, and a second “fast” actuator. The FSC provides precise control of each stage of the servo loop, as well as a sweep (ramp) generator and convenient signal monitoring.moglabs-PID-Fast -Servo-Controller-fig (3)

ИНПУТ

ИНПУТ

+

AC

ERR OFFSET

DC

А ИН

A

0v

+

B
B IN

0в +
ВРЕФ
0v

ЦХБ

FAST SIGN Fast AC [7] DC block
SLOW SIGN

MODULATION & SWEEP

РАТЕ

Ramp

ИНТ/ЕКСТ

Slope [6] SWEEP IN

СПАН
0v

+
ОФФСЕТ

МОД ИН

0v
Mod [4]

0v
Fixed offset [5]

0v

ТРИГ

0в 0в
+
БИАС
0в 0в
Bias [3]

LOCK IN (FAST) LOCK IN (SLOW) FAST = LOCK SLOW = LOCK
LF sweep
FAST OUT +

FAST SERVO
GAIN IN FAST GAIN

External gain [1] P

+

I

+

0v
NESTED
FAST = LOCK LOCK IN (FAST)

D
0v

SLOW SERVO
Slow error Gain SLOW GAIN

SLOW INT
#1

LF sweep

SLOW INT

+

#2

0v
Double integrator [2]

SLOW OUT

Figure 3.1: Schematic of the MOGLabs FSC. Green labels refer to controls on the front-panel and inputs on the back-panel, brown are internal DIP switches, and purple are outputs on the back-panel.

13

14

Chapter 3. Feedback control loops

3.1 Input stage
Ulaz stage of the FSC (figure 3.2) generates an error signal as VERR = VA – VB – VOFFSET. VA is taken from the “A IN” SMA connector, and VB is set using the CHB selector switch, which chooses between the “B IN” SMA connector, VB = 0 or VB = VREF as set by the adjacent trimpot.
The controller acts to servo the error signal towards zero, which defines the lock point. Some applications may benefit from small adjustments to the DC level to adjust this lock point, which can be achieved with the 10-turn knob ERR OFFSET for up to ±0 1 V shift, provided the INPUT selector is set to “offset” mode (). Larger offsets can be achieved with the REF trimpot.

ИНПУТ

ИНПУТ

+ AC

ERR OFFSET

DC

А ИН

A

0v

+

B
B IN

FAST SIGN Fast AC [7] FE FAST ERR

ДЦ блок

Fast error

0в +
ВРЕФ
0v

ЦХБ

SLOW SIGN

Slow error SE SLOW ERR

Figure 3.2: Schematic of the FSC input stage showing coupling, offset and polarity controls. Hexagons are monitored signals available via the front-panel monitor selector switches.

3.2 Slow servo loop
Figure 3.3 shows the slow feedback configuration of the FSC. A variable gain stage is controlled with the front-panel SLOW GAIN knob. The action of the controller is either a single- or double-integrator

3.2 Slow servo loop

15

depending on whether DIP2 is enabled. The slow integrator time constant is controlled from the front-panel SLOW INT knob, which is labelled in terms of the associated corner frequency.

SLOW SERVO
Slow error Gain SLOW GAIN

Интегратори
SLOW INT
#1

LF sweep

SLOW INT

+

#2

0v
Double integrator [2]

SLOW OUT
LF SLOW

Figure 3.3: Schematic of slow feedback I/I2 servo. Hexagons are monitored signals available via the front-panel selector switches.

With a single integrator, the gain increases with lower Fourier frequency, with slope of 20 dB per decade. Adding a second integrator increases the slope to 40 dB per decade, reducing the long-term offset between actual and setpoint frequencies. Increasing the gain too far results in oscillation as the controller “overreacts” to changes in the error signal. For this reason it is sometimes beneficial to restrict the gain of the control loop at low frequencies, where a large response can cause a laser mode-hop.
The slow servo provides large range to compensate for long-term drifts and acoustic perturbations, and the fast actuator has small range but high bandwidth to compensate for rapid disturbances. Using a double-integrator ensures that the slow servo has the dominant response at low frequency.
For applications that do not include a separate slow actuator, the slow control signal (single or double integrated error) can be added to the fast by setting the SLOW switch to “NESTED”. In this mode it is recommended that the double-integrator in the slow channel be disabled with DIP2 to prevent triple-integration.

16

Chapter 3. Feedback control loops

3.2.1 Measuring the slow servo response
The slow servo loop is designed for slow drift compensation. To observe the slow loop response:
1. Set MONITOR 1 to SLOW ERR and connect the output to an oscilloscope.
2. Set MONITOR 2 to SLOW and connect the output to an oscilloscope.
3. Set INPUT to (offset mode) and CHB to 0.
4. Adjust the ERR OFFSET knob until the DC level shown on the SLOW ERR monitor is close to zero.
5. Adjust the FREQ OFFSET knob until the DC level shown on the SLOW monitor is close to zero.
6. Set the volts per division on the oscilloscope to 10mV per division for both channels.
7. Engage the slow servo loop by setting SLOW mode to LOCK.
8. Slowly adjust the ERR OFFSET knob such that the DC level shown on the SLOW ERR monitor moves above and below zero by 10 mV.
9. As the integrated error signal changes sign, you will observe the slow output change by 250 mV.
Note that the response time for the slow servo to drift to its limit depends on a number of factors including the slow gain, the slow integrator time constant, single or double integration, and the size of the error signal.

3.2 Slow servo loop

17

3.2.2 Slow output voltage swing (only for FSC serials A04… and below)
The output of the slow servo control loop is configured for a range of 0 to 2.5 V for compatibility with a MOGLabs DLC. The DLC SWEEP piezo control input has a voltage gain of 48 so that the maximum input of 2.5 V results in 120 V on the piezo. When the slow servo loop is engaged, the slow output will only swing by ±25 mV relative to its value prior to engagement. This limitation is intentional, to avoid laser mode hops. When the slow output of the FSC is used with a MOGLabs DLC, a 50 mV swing in the output of the slow channel of the FSC corresponds to a 2.4 V swing in the piezo voltage which corresponds to a change in laser frequency of around 0.5 to 1 GHz, comparable to the free spectral range of a typical reference cavity.
For use with different laser controllers, a larger change in the locked slow output of the FSC can be enabled via a simple resistor change. The gain on the output of the slow feedback loop is defined by R82/R87, the ratio of resistors R82 (500 ) and R87 (100 k). To increase the slow output, increase R82/R87, most easily accomplished by reducing R87 by piggybacking another resistor in parallel (SMD package, size 0402). For example, adding a 30 k resistor in parallel with the existing 100 k resistor would give an effective resistance of 23 k providing an increase in the slow output swing from ±25 mV to ±125 mV. Figure 3.4 shows the layout of the FSC PCB around opamp У16.
Р329
У16

Ц36

Ц362 Р85 Р331 Ц44 Р87

Ц71

Ц35

Р81 Р82

Figure 3.4: The FSC PCB layout around the final slow gain opamp U16, with gain setting resistors R82 and R87 (circled); size 0402.

18

Chapter 3. Feedback control loops

3.3 Fast servo loop
The fast feedback servo (figure 3.5) is a PID-loop which provides precise control over each of the proportional (P), integral (I) and differential (D) feedback components, as well as the overall gain of the entire system. The fast output of the FSC can swing from -2.5 V to 2.5 V which, when configured with a MOGLabs external cavity diode laser, can provide a swing in current of ±2.5 mA.

FAST SERVO

GAIN IN

External gain [1]

FAST GAIN

Fast error
Slow control
0v

+ NESTED

FAST = LOCK LOCK IN (FAST)

ПИ
D
0v

+

Брза контрола

Figure 3.5: Schematic of fast feedback servo PID controller.

Figure 3.6 shows a conceptual plot of the action of both the fast and slow servo loops. At low frequencies, the fast integrator (I) loop dominates. To prevent the fast servo loop over-reacting to low frequency (acoustic) external perturbations, a low-frequency gain limit is applied controlled by the GAIN LIMIT knob.
At mid-range frequencies (10 kHz­1 MHz) the proportional (P) feedback dominates. The unity gain corner frequency at which the proportional feedback exceeds the integrated response is controlled by the FAST INT knob. The overall gain of the P loop is set by he FAST GAIN trimpot, or via an external control signal through the rear-panel GAIN IN connector.

3.3 Fast servo loop

19

60

Добитак (дБ)

High freq. cutoff Double integrator

FAST INT FAST GAIN
FAST DIFF DIFF GAIN (limit)

40

20

Интегратор

0

FAST LF GAIN (limit)

Интегратор

Пропорционално

Дифферентиатор

Филтер

SLOW INT

20101

102

103

104

105

106

107

108

Fourier frequency [Hz]

Figure 3.6: Conceptual Bode plot showing action of the fast (red) and slow (blue) controllers. The slow controller is either a single or double integrator with adjustable corner frequency. The fast controller is a PID compensator with adjustable corner frequencies and gain limits at the low and high frequencies. Optionally the differentiator can be disabled and replaced with a low-pass filter.

High frequencies (1 MHz) typically require the differentiator loop to dominate for improved locking. The differentiator provides phaselead compensation for the finite response time of the system and has gain that increases at 20 dB per decade. The corner frequency of the differential loop can be adjusted via the FAST DIFF/FILTER knob to control the frequency at which differential feedback dominates. If the FAST DIFF/FILTER is set to OFF, then the differential loop is disabled and the feedback remains proportional at higher frequencies. To prevent oscillation and limit the influence of high-frequency noise when the differential feedback loop is engaged, there is an adjustable gain limit, DIFF GAIN, that restricts the differentiator at high frequencies.
A differentiator is often not required, and the compensator may instead benefit from low-pass filtering of the fast servo response to further reduce the influence of noise. Rotate the FAST DIFF/FILTER

20

Chapter 3. Feedback control loops

knob anti-clockwise from the OFF position to set the roll-off frequency for filtering mode.
The fast servo has three modes of operation: SCAN, SCAN+P and LOCK. When set to SCAN, feedback is disabled and only the bias is applied to the fast output. When set to SCAN+P, proportional feedback is applied, which allows for determination of the fast servo sign and gain while the laser frequency is still scanning, simplifying the locking and tuning procedure (see §4.2). In LOCK mode, the scan is halted and full PID feedback is engaged.

3.3.1 Measuring the fast servo response
The following two sections describe measurement of proportional and differential feedback to changes in the error signal. Use a function generator to simulate an error signal, and an oscilloscope to measure the response.
1. Connect MONITOR 1, 2 to an oscilloscope, and set the selectors to FAST ERR and FAST .
2. Set INPUT to (offset mode) and CHB to 0.
3. Connect the function generator to CHA input.
4. Configure the function generator to produce a 100 Hz sine wave of 20 mV peak to peak.
5. Adjust the ERR OFFSET knob such that the sinusoidal error signal, as seen on the FAST ERR monitor, is centred about zero.

3.3.2 Measuring the proportional response · Reduce the span to zero by turning the SPAN knob fully anticlockwise.
· Set FAST to SCAN+P to engage the proportional feedback loop.

3.3 Fast servo loop

21

· On the oscilloscope, the FAST output of the FSC should show a 100 Hz sine wave.
· Adjust the FAST GAIN knob to vary the proportional gain of the fast servo until the output is the same amplitude as the input.
· To measure the proportional feedback frequency response, adjust the frequency of the function generator and monitor the amplitude of the FAST output response. For example, increase the frequency until the amplitude is halved, to find the -3 dB gain frequency.

3.3.3 Measuring the differential response
1. Set FAST INT to OFF to switch off the integrator loop.
2. Set the FAST GAIN to unity using the steps described in the section above.
3. Set the DIFF GAIN to 0 dB.
4. Set FAST DIFF/FILTER to 100 kHz.
5. Sweep the frequency of the function generator from 100 kHz to 3 MHz and monitor the FAST output.
6. As you sweep the error signal frequency, you should see unity gain at all frequencies.
7. Set the DIFF GAIN to 24 dB.
8. Now as you sweep the error signal frequency, you should notice a 20 dB per decade slope increase after 100 kHz that will start to roll off at 1 MHz, showing the opamp bandwidth limitations.
The gain of the fast output can be altered by changing resistor values, but the circuit is more complicated than for slow feedback (§3.2.2). Contact MOGLabs for further information if required.

22

Chapter 3. Feedback control loops

3.4 Modulation and scanning
Laser scanning is controlled by either an internal sweep generator or an external sweep signal. The internal sweep is a sawtooth with variable period as set by an internal four-position range switch (App. C), and a single-turn trimpot RATE on the front-panel.
The fast and slow servo loops can be individually engaged via TTL signals to the rear-panel associated front-panel switches. Setting either loop to LOCK stops the sweep and activates stabilisation.

MODULATION & SWEEP

ИНТ/ЕКСТ

ТРИГ

РАТЕ

Ramp

Slope [6] SWEEP IN

СПАН
0v

+
ОФФСЕТ
0v

0v
Fixed offset [5]

Fast control MOD IN

Mod [4]

0v

0в 0в
+
БИАС
0в 0в
Bias [3]

LOCK IN (FAST)

LOCK IN (SLOW)

FAST = LOCK SLOW = LOCK

RAMP RA

LF sweep

BIAS BS

FAST OUT +

HF FAST

Figure 3.7: Sweep, external modulation, and feedforward current bias.

Тхе рamp can also be added to the fast output by enabling DIP3 and adjusting the BIAS trimpot, but many laser controllers (such as the MOGLabs DLC) will generate the necessary bias current based on the slow servo signal, in which case it is unnecessary to also generate it within the FSC.

4. Апликација прample: Pound-Drever Hall locking

A typical application of the FSC is to frequency-lock a laser to an optical cavity using the PDH technique (fig. 4.1). The cavity acts as a frequency discriminator, and the FSC keeps the laser on resonance with the cavity by controlling the laser piezo and current through its SLOW and FAST outputs respectively, reducing the laser linewidth. A separate application note (AN002) is available that provides detailed practical advice on implementing a PDH apparatus.moglabs-PID-Fast -Servo-Controller-fig (4)

Осцилоскоп

ТРИГ

ЦХ1

ЦХ2

Ласер
Current mod Piezo SMA

ЕОМ

ПБС

PD

DLC controller

ПЗТ МОД

AC

Cavity LPF

MONITOR 2 MONITOR 1 LOCK IN

SWEEP IN GAIN IN

B IN

А ИН

серијал:

ТРИГ

FAST OUT SLOW OUT MOD IN

POWER B POWER A

Figure 4.1: Simplified schematic for PDH-cavity locking using the FSC. An electro-optic modulator (EOM) generates sidebands, which interact with the cavity, generating reflections that are measured on the photodetector (PD). Demodulating the photodetector signal produces a PDH error signal.

A variety of other methods can be used to generate error signals, which will not be discussed here. The rest of this chapter describes how to achieve a lock once an error signal has been generated.

23

24

Chapter 4. Application example: Pound-Drever Hall locking

4.1 Laser and controller configuration
The FSC is compatible with a variety of lasers and controllers, provided they are correctly configured for the desired mode of operation. When driving an ECDL (such as the MOGLabs CEL or LDL lasers), the requirements for the laser and controller are as follows:
· High-bandwidth modulation directly into the laser headboard or intra-cavity phase modulator.
· Хигх-волtage piezo control from an external control signal.
· Feed-forward (“bias current”) generation for lasers that require a bias of 1 mA across their scan range. The FSC is capable of generating a bias current internally but the range might be limited by headboard electronics or phase modulator saturation, so it may be necessary to use bias provided by the laser controller.
MOGLabs laser controllers and headboards can be easily configured to achieve the required behaviour, as explained below.

4.1.1 Headboard configuration
MOGLabs lasers include an internal headboard that interfaces the components with the controller. A headboard that includes fast current modulation via an SMA connector is required for operation with the FSC. The headboard should be connected directly to the FSC FAST OUT.
The B1240 headboard is strongly recommended for maximum modulation bandwidth, although the B1040 and B1047 are acceptable substitutes for lasers that are incompatible with the B1240. The headboard has a number of jumper switches which must be configured for DC coupled and buffered (BUF) input, where applicable.

4.2 Achieving an initial lock

25

4.1.2 DLC configuration
Although the FSC can be configured for either internal or external sweep, it is significantly simpler to use the internal sweep mode and set the DLC as a slave device as follows:
1. Connect SLOW OUT to SWEEP / PZT MOD on the DLC.
2. Enable DIP9 (External sweep) on the DLC. Ensure that DIP13 and DIP14 are off.
3. Disable DIP3 (Bias generation) of the FSC. The DLC automatically generates the current feed-forward bias from the sweep input, so it is not necessary to generate a bias within the FSC.
4. Set SPAN on the DLC to maximum (fully clockwise).
5. Set FREQUENCY on the DLC to zero using the LCD display to show Frequency.
6. Ensure that SWEEP on the FSC is INT.
7. Set FREQ OFFSET to mid-range and SPAN to full on the FSC and observe the laser scan.
8. If the scan is in the wrong direction, invert DIP4 of the FSC or DIP11 of the DLC.
It is important that the SPAN knob of the DLC is not adjusted once set as above, as it will impact the feedback loop and may prevent the FSC from locking. The FSC controls should be used to adjust the sweep.

4.2 Achieving an initial lock
The SPAN and OFFSET controls of the FSC can be used to tune the laser to sweep across the desired lock point (e.g. cavity resonance) and to zoom into a smaller scan around the resonance. The following

26

Chapter 4. Application example: Pound-Drever Hall locking

steps are illustrative of the process required to achieve a stable lock. Values listed are indicative, and will need to be adjusted for specific applications. Further advice on optimising the lock is provided in §4.3.

4.2.1 Locking with fast feedback
1. Connect the error signal to the A IN input on the back-panel.
2. Ensure that the error signal is of order 10 mVpp.
3. Set INPUT to (offset mode) and CHB to 0.
4. Set MONITOR 1 to FAST ERR and observe on an oscilloscope. Adjust the ERR OFFSET knob until the DC level shown is zero. If there is no need to use the ERROR OFFSET knob to adjust the DC level of the error signal, the INPUT switch can be set to DC and the ERROR OFFSET knob will have no effect, preventing accidental adjustment.
5. Reduce the FAST GAIN to zero.
6. Set FAST to SCAN+P, set SLOW to SCAN, and locate the resonance using the sweep controls.
7. Increase FAST GAIN until the error signal is seen to “stretch out” as shown in figure 4.2. If this is not observed, invert the FAST SIGN switch and try again.
8. Set FAST DIFF to OFF and GAIN LIMIT to 40. Reduce FAST INT to 100 kHz.
9. Set FAST mode to LOCK and the controller will lock to the zero-crossing of the error signal. It may be necessary to make small adjustments to FREQ OFFSET to lock the laser.
10. Optimise the lock by adjusting the FAST GAIN and FAST INT while observing the error signal. It may be necessary to relock the servo after adjusting the integrator.

4.2 Achieving an initial lock

27

Figure 4.2: Scanning the laser with P-only feedback on the fast output while scanning the slow output causes the error signal (orange) to become extended when the sign and gain are correct (right). In a PDH application, the cavity transmission (blue) will also become extended.
11. Some applications may benefit by increasing FAST DIFF to improve loop response, but this is typically not needed to achieve an initial lock.
4.2.2 Locking with slow feedback
Once lock is achieved with the fast proportional and integrator feedback, the slow feedback should then be engaged to account for slow drifts and sensitivity to low frequency acoustic perturbations.
1. Set SLOW GAIN to mid-range and SLOW INT to 100 Hz.
2. Set FAST mode to SCAN+P to unlock the laser, and adjust SPAN and OFFSET so that you can see the zero crossing.
3. Set MONITOR 2 to SLOW ERR and observe on an oscilloscope. Adjust the trimpot beside ERR OFFSET to bring the slow error signal to zero. Adjusting this trimpot will only affect the DC level of the slow error signal, not the fast error signal.
4. Relock the laser by setting FAST mode to LOCK and make any necessary small adjustments to FREQ OFFSET to lock the laser.

28

Chapter 4. Application example: Pound-Drever Hall locking

5. Set SLOW mode to LOCK and observe the slow error signal. If the slow servo locks, the DC level of the slow error may change. If this occurs, note the new value of the error signal, set SLOW back to SCAN and use the error offset trimpot to bring the slow unlocked error signal closer to the locked value and try relocking the slow lock.
6. Iterate the previous step of slow locking the laser, observing the DC change in the slow error, and adjusting the error offset trimpot until engaging the slow lock does not produce a measurable change in the slow locked versus fast locked error signal value.
The error offset trimpot adjusts for small (mV) differences in the fast and slow error signal offsets. Adjusting the trimpot ensures that both the fast and slow error compensator circuits lock the laser to the same frequency.
7. If the servo unlocks immediately upon engaging the slow lock, try inverting the SLOW SIGN.
8. If the slow servo still unlocks immediately, reduce the slow gain and try again.
9. Once a stable slow lock is achieved with the ERR OFFSET trimpot correctly set, adjust SLOW GAIN and SLOW INT for improved lock stability.

4.3 Optimisation
The purpose of the servo is to lock the laser to the zero-crossing of the error signal, which ideally would be identically zero when locked. Noise in the error signal is therefore a measure of lock quality. Spectrum analysis of the error signal is a powerful tool for understanding and optimising the feedback. RF spectrum analysers can be used but are comparatively expensive and have limited dynamic range. A good sound card (24-bit 192 kHz, e.g. Lynx L22)

4.3 Optimisation

29

provides noise analysis up to a Fourier frequency of 96 kHz with 140 dB dynamic range.
Ideally the spectrum analyser would be used with an independent frequency discriminator that is insensitive to laser power fluctuations [11]. Good results can be achieved by monitoring the in-loop error signal but an out-of-loop measurement is preferable, such as measuring the cavity transmission in a PDH application. To analyse the error signal, connect the spectrum analyser to one of the MONITOR outputs set to FAST ERR.
High-bandwidth locking typically involves first achieving a stable lock using only the fast servo, and then using the slow servo to improve the long-term lock stability. The slow servo is required to compensate for thermal drift and acoustic perturbations, which would result in a mode-hop if compensated with current alone. In contrast, simple locking techniques such as saturated absorption spectroscopy are typically achieved via first achieving a stable lock with the slow servo, and then using the fast servo to compensate for higher-frequency fluctuations only. It may be beneficial to consult the Bode plot (figure 4.3) when interpreting the error signal spectrum.
When optimising the FSC, it is recommended to first optimise the fast servo through analysis of the error signal (or transmission through the cavity), and then the slow servo to reduce sensitivity to external perturbations. In particular, SCAN+P mode provides a convenient way to get the feedback sign and gain approximately correct.
Note that achieving the most stable frequency lock requires careful optimisation of many aspects of the apparatus, not just the parameters of the FSC. For example, residual amplitude modulation (RAM) in a PDH apparatus results in drift in the error signal, which the servo is unable to compensate for. Similarly, poor signal-to-noise ratio (SNR) will feed noise directly into the laser.
In particular, the high gain of the integrators means that the lock can be sensitive to ground loops in the signal-processing chain, and

30

Chapter 4. Application example: Pound-Drever Hall locking

care should be taken to eliminate or mitigate these. The earth of the FSC should be as close as possible to both the laser controller and any electronics involved in generating the error signal.
One procedure for optimising the fast servo is to set FAST DIFF to OFF and adjust FAST GAIN, FAST INT and GAIN LIMIT to reduce the noise level as far as possible. Then optimise the FAST DIFF and DIFF GAIN to reduce the high-frequency noise components as observed on a spectrum analyser. Note that changes to FAST GAIN and FAST INT may be required to optimise the lock once the differentiator has been introduced.
In some applications, the error signal is bandwidth-limited and only contains uncorrelated noise at high frequencies. In such scenarios it is desirable to limit the action of the servo at high frequencies to prevent coupling this noise back into the control signal. A filter option is provided to reduce the fast servo response above a specific frequency. This option is mutually-exclusive to the differentiator, and should be tried if enabling the differentiator is seen to increase
60

Добитак (дБ)

High freq. cutoff Double integrator

FAST INT FAST GAIN
FAST DIFF DIFF GAIN (limit)

40

20

Интегратор

0

FAST LF GAIN (limit)

Интегратор

Пропорционално

Дифферентиатор

Филтер

SLOW INT

20101

102

103

104

105

106

107

108

Fourier frequency [Hz]

Figure 4.3: Conceptual Bode plot showing action of the fast (red) and slow (blue) controllers. The corner frequencies and gain limits are adjusted with the front-panel knobs as labelled.

4.3 Optimisation

31

the measured noise.
The slow servo can then be optimised to minimise the over-reaction to external perturbations. Without the slow servo loop the high gain limit means that the fast servo will respond to external perturbations (e.g. acoustic coupling) and the resulting change in current can induce mode-hops in the laser. It is therefore preferable that these (low-frequency) fluctuations are compensated in the piezo instead.
Adjusting the SLOW GAIN and SLOW INT will not necessarily produce an improvement in the error signal spectrum, but when optimised will reduce the sensitivity to acoustic perturbations and prolong the lifetime of the lock.
Similarly, activating the double-integrator (DIP2) may improve stability by ensuring that the overall gain of the slow servo system is higher than the fast servo at these lower frequencies. However, this may cause the slow servo to overreact to low-frequency perturbations and the double-integrator is only recommended if long-term drifts in current are destabilising the lock.

32

Chapter 4. Application example: Pound-Drever Hall locking

А. Спецификације

Параметар

Спецификација

Timing Gain bandwidth (-3 dB) Propagation delay External modulation bandwidth (-3 dB)

> 35 MHz < 40 ns
> 35 МХз

Input A IN, B IN SWEEP IN GAIN IN MOD IN LOCK IN

SMA, 1 M, ±2 5 V SMA, 1 M, 0 to +2 5 V SMA, 1 M, ±2 5 V SMA, 1 M, ±2 5 V 3.5 mm female audio connector, TTL

Analogue inputs are over-voltage protected up to ±10 V. TTL inputs take < 1 0 V as low, > 2 0 V as high. LOCK IN inputs are -0 5 V to 7 V, active low, drawing ±1 µA.

33

34

Додатак А. Спецификације

Параметар
Output SLOW OUT FAST OUT MONITOR 1, 2 TRIG POWER A, B

Спецификација
SMA, 50 , 0 to +2 5 V, BW 20 kHz SMA, 50 , ±2 5 V, BW > 20 MHz SMA, 50 , BW > 20 MHz SMA, 1M , 0 to +5 V M8 female connector, ±12 V, 125 mA

All outputs are limited to ±5 V. 50 outputs 50 mA max (125 mW, +21 dBm).

Механички и снага

IEC улаз

110 to 130V at 60Hz or 220 to 260V at 50Hz

Осигурач

5x20mm anti-surge ceramic 230 V/0.25 A or 115 V/0.63 A

Димензије

W×H×D = 250 × 79 × 292 mm

Тежина

2 кг

Потрошња енергије

< 10 В

Решавање проблема

B.1 Laser frequency not scanning
A MOGLabs DLC with external piezo control signal requires that the external signal must cross 1.25 V. If you are sure your external control signal crosses 1.25 V confirm the following:
· DLC span is fully clockwise. · FREQUENCY on the DLC is zero (using the LCD display to set
Frequency). · DIP9 (External sweep) of the DLC is on. · DIP13 and DIP14 of the DLC are off. · The lock toggle switch on the DLC is set to SCAN. · SLOW OUT of the FSC is connected to the SWEEP / PZT MOD
input of the DLC. · SWEEP on the FSC is INT. · FSC span is fully clockwise. · Connect the FSC MONITOR 1 to an oscilloscope, set the MONI-
TOR 1 knob to RAMP and adjust FREQ OFFSET until the ramp is centred about 1.25 V.
If the above checks have not solved your problem, disconnect the FSC from the DLC and ensure that the laser scans when controlled with the DLC. Contact MOGLabs for assistance if not successful.
35

36

Додатак Б. Решавање проблема

B.2 When using modulation input, the fast output floats to a large voltage
When using the MOD IN functionality of the FSC (DIP 4 enabled) the fast output will typically float to the positive voltage rail, around 4V. Ensure MOD IN is shorted when not in use.

B.3 Large positive error signals
In some applications, the error signal generated by the application may be strictly positive (or negative) and large. In this case the REF trimpot and ERR OFFSET may not provide sufficient DC shift to ensure the desired lockpoint coincides with 0 V. In this case both CH A and CH B can be used with the INPUT toggle set to , CH B set to PD and with a DC voltage applied to CH B to generate the offset needed to centre the lock point. As an example, if the error signal is between 0 V and 5 V and the lock point was 2.5 V, then connect the error signal to CH A and apply 2.5 V to CH B. With the appropriate setting the error signal will then be between -2 5 V to +2 5 V.

B.4 Fast output rails at ±0.625 V
For most MOGLabs ECDLs, a voltage swing of ±0.625 V on the fast output (corresponding to ±0.625 mA injected into the laser diode) is more than required for locking to an optical cavity. In some applications a larger range on the fast output is required. This limit can be increased by a simple resistor change. Please contact MOGLabs for more information if required.

B.5 Feedback needs to change sign
If the fast feedback polarity changes, it is typically because the laser has drifted into into a multi-mode state (two external cavity modes oscillating simultaneously). Adjust the laser current to obtain singlemode operation, rather than reversing the feedback polarity.

B.6 Monitor outputs wrong signal

37

B.6 Monitor outputs wrong signal
During factory testing, the output of each of the MONITOR knobs is verified. However, over time the set screws that hold the knob in position can relax and the knob may slip, causing the knob to indicate the wrong signal. To check:
· Connect the output of the MONITOR to an oscilloscope.
· Turn the SPAN knob fully clockwise.
· Turn the MONITOR to RAMP. You should now observe a ramping signal on the order of 1 volt; if you do not then the knob position is incorrect.
· Even if you do observe a ramping signal, the knob position may still be wrong, turn the knob one position more clockwise.
· You should now have a small signal near 0 V, and perhaps can see a small ramp on the oscilloscope on the order of tens of mV. Adjust the BIAS trimpot and you should see the amplitude of this ramp променити.
· If the signal on the oscilloscope changes as you adjust the BIAS trimpot your MONITOR knob position is correct; if not, then the MONITOR knob position needs to be adjusted.
To correct the MONITOR knob position, the output signals must first be identified using a similar procedure to above, and the knob position can then be rotated by loosening the two set screws that hold the knob in place, with a 1.5 mm allen key or ball driver.

B.7 Laser undergoes slow mode hops
Slow mode hops can be caused by optical feedback from optical elements between the laser and the cavity, for example fibre couplers, or from the optical cavity itself. Symptoms include frequency

38

Додатак Б. Решавање проблема

jumps of the free-running laser on slow timescales, of the order of 30 s where the laser frequency jumps by 10 to 100 MHz. Ensure the laser has sufficient optical isolation, installing another isolator if necessary, and block any beam paths that are unused.

C. PCB layout

Ц39

Ц59

Р30

Ц76

Ц116

Ц166

C3

C2

P1

P2

C1

C9

C7

C6

C4

C5

P3

Р1 Ц8 Ц10
R2

Р338 Д1
Ц378

Р24

Р337

Р27

Ц15

R7

Р28

R8

Р66 Р34

Р340 Ц379
Р33
Р10

D4
Р11 Ц60 Р35

Р342

Р37

Р343 Д6
Ц380
Р3 Ц16 Р12

R4

Ц366 Р58 Р59 Ц31 Р336

P4

Р5 Д8
Ц365 Р347 Р345
Р49

Р77 Р40

Р50 Д3
Ц368 Р344 Р346
Р75

Ц29 Р15 Р38 Р47 Р48

Ц62 Р36 Р46 Ц28

Ц11 Ц26
Р339

Р31 Ц23
Ц25

Ц54 Ц22 Ц24 Р9

Р74 Ц57
Ц33

Ц66 Ц40

У13

U3

U9

У10

У14

U4

U5

U6

У15

Р80 Р70 Ц27

Ц55 Р42

Ц65 Р32

Р29 Р65

Р57 Р78 Р69

Р71 Р72

Р79 Р84

Ц67

Р73

Ц68

Ц56

Р76

Р333

Ц42 Ц69

Ц367 Р6
Р334 Ц369

Ц13

Р335

Ц43 Ц372 Р14 Р13

Ц373 Ц17
U1
Р60 Р17 Р329
У16
Р81 Р82

Ц35

Ц362 Р85 Р331 Ц44 Р87

Ц70

У25 Ц124

Р180 Ц131

Ц140 Р145

У42

Р197 Р184 Ц186 Ц185

МХ2

C165 C194 C167 R186 R187 C183 C195 R200

Ц126 Р325 Р324
Р168 Ц162 Ц184
Ц157 Р148 Р147
Ц163 Ц168
Ц158 Р170

Р95 Ц85 Р166 Р99 Ц84
Ц86

Ц75 Р97 Р96 Ц87

Р83 Ц83
У26

У27 Ц92

Р100 Р101 Р102 Р106
Р104 Р105

Ц88 Р98 Р86
Р341 Ц95 Р107 Ц94

У38

Ц90 Р109
Р103 У28

Ц128 Ц89
Ц141

Р140 Р143

Р108

У48

Р146 Ц127

Р185

У50 Р326

У49

Р332

Р201

Р191
Р199 Ц202

Р198 Р190

Ц216

P8

У57

Ц221

Ц234

Ц222 Р210 Ц217

Ц169 Р192 Р202

Р195 Ц170

Р171
У51
Р203
Р211
У58
Ц257

Р213 Ц223 Р212
Р214 Ц203 Ц204 Ц205

Ц172 Р194 Ц199

R327 C171 C160 R188 R172 R173

C93 R111 C96 C102 R144 R117

Р110 Р112

Ц98 Ц91
Р115 Р114

У31

Ц101

ФБ1

Ц148

ФБ2

Ц159

Ц109 Ц129

Ц149

Ц130
У29
Ц138

У32
Ц150

Ц112 Р113

Ц100

Ц105 Ц99 Ц103 Ц152 Ц110

У33

Ц104 Ц111 Ц153
Ц133

Р118 Р124
Р119 Р122

Р123
U34 R130 R120 R121

Ц161

Ц134

Р169 У43

Ц132

Ц182 Р157 Ц197

Ц189 Р155 Ц201
Ц181 Р156

Ц173
У56
Ц198 Р193

Ц206

Р189

Ц174

Ц196

У52

Р196 Р154 Р151 Р152 Р153

Р204 Ц187 Ц176 Ц179

У53

Ц180 Ц188 Ц190

Ц178

Ц200

Ц207

У54
Ц209

У55 Ц191

Ц192

Ц208 Р205

У62 Ц210

Р217 Ц177

C227 C241 C243 C242 R221
Р223 Ц263

Ц232

Ц231

Ц225
У59
Ц226
Ц259

Ц237

Ц238

Ц240 Ц239

Р206
У60
Ц261

Р207 Ц260 Р215

Р218

Р216

У61 Ц262

У66 Р219

У68 Р222

У67 Р220

Ц258 Ц235 Ц236

Ц273

СВ1

Р225 Р224

Ц266

Ц265

Р228

У69

Ц269

Р231 Р229
У70

Ц270

У71

Р234

Ц272

Р226
У72

Ц71

Ц36

Р16 Р18
Ц14

Ц114

Р131

Ц115

Ц58 Р93

Ц46

Ц371
Ц370
Р43 Ц45
Р44
У11
Р330 Р92
Р90 Р89 Р88 Р91

Р20

U7

Р19

Р39 Ц34

Ц72

Р61

Ц73

Ц19

Р45 Ц47

Ц41 Ц78

P5

Р23

U8

Р22

Ц375
Ц374 Р41 Р21
Ц37
Ц38

Ц30

Ц20

Р52 Ц48 Р51
Ц49

U2

Ц50

У17

У18

Р55 Р53 Р62 Р54

Ц63

Р63 Ц52 Р26
У12 Р25

P6
Ц377 Ц376
Р64 Р56 Ц51
МХ1

Ц53

Ц79

Ц74

Ц18

Ц113 Р174 Р175 Р176 Р177
Ц120

Р128

Р126 Ц106
Р127 Р125
U35 R132 U39
Р141 Ц117 Р129 Р158

Р142

Ц136 Р134 Р133 Р138 Р137

Ц135

Ц139 Р161 Р162 Р163

Ц118

Ц119 Р159

Ц121
У41 Ц137
Р160 Ц147
Ц164

У40 Ц146

Ц193

Р164 Ц123

Ц122

Р139 Р165
У44

Ц107
У45

Ц142

Ц144 Р135 Ц145

Р182

Р178 Р167
Р181

РТ1

Ц155 Р149

Ц21 Ц12

У47

У46

У30 Ц108

U21 C77 U23 C82

U24 C64 U22 C81

У19 Ц61
Р68 Р67 У20 Ц32

P7

Ц97 Р116

Ц80 Р94

У36 Ц143

Ц151

Р179
Р150 Ц156
Р183

Р136 Ц154

Ц175

Ц252

Ц220

Ц228 Ц229 Ц230

У63

Ц248

Ц247

Ц211

Ц212 Ц213 Ц214

У64

Ц251

Ц250

Ц215

Ц219
Р208 Р209 Ц224

Ц218 Ц253

У65

Ц256

Ц255 Ц254

Ц249 Ц233

Ц246 Ц245

Ц274
Ц244

Ц264

Ц268 Р230

Ц276

Ц271

Ц267

Ц275

Р238 Р237 Р236 Р235 Р240 Р239
Р328

REF1 R257

Ц285 Р246

Ц286 Ц284

Р242
У73
Р247

Ц281 Р243

Ц280
У74

Ц287

Р248

Ц289 Р251 Р252

Р233 Р227 Р232
Ц282 Р244 Р245
У75
Р269

Ц288 Р250 Р249

Р253 Р255

Ц290

Р241

Р254
У76
Р272

Ц291

Р256
У77

Ц294 Ц296

Ц283

Ц277

МХ5

Ц292

Ц293

Ц279 Ц278

У37 Ц125

МХ3

Ц295

Ц307 Р265
Q1

Ц309

Ц303 Р267 Р268
Ц305

Ц301

МХ6

Р282

Ц312

Р274 Р283 Р284

Ц322

Ц298

Ц300

Р264 Ц297 Р262
У78
Р273 Ц311

Ц299

Р263

Ц302

Р261 Р258 Р259 Р260

У79

Ц306
У80
Ц315

Ц313

Р266
У81
Р278 Р275 Р276

Ц304

Р277

Ц316

Р271 Ц308

Р270
У82
Ц314

Ц318

У83
Р280 Р279 Ц321

Ц310
У84

Р285 Ц317

Ц320

Р281

Ц319

Р290 Р291

Д11

Д12

Д13

Д14

Р287 Р286

СВ2

Р297 Р296
Р289 Р288

Ц334 Ц328 Ц364

Р299 Ц330

Р293 Р292

Ц324

Ц331

Р300

Р298 Ц329

Ц333 Ц332

У85

Ц335

Ц323

Ц325

Д15

Р303

Д16

Ц336

Р301 Р302 Ц342 Ц341
Ц337

У86

Ц343

Ц339

Ц346

Р310 Р307

Р309

Р308

МХ8

Ц347 Р305 Р306

Р315

Р321

Ц345

П10

Ц344 Ц348

МХ9

C349 R318 C350 R319 R317 R316

Ц352
П11

Ц351

Ц354

У87

МХ10
Ц353

У88

Ц338

Ц340

Р294

Ц363

MH4 P9
КСФКСНУМКС

Ц358
Р295

Ц326

Ц327

Д17

Р304

Д18

У89

Ц355 Ц356

У91

У90

Ц361 Р323

Ц357

Ц359
П12

Ц360

МХ7
Р313 Р314 Р320 Р311 Р312 Р322

39

40

Appendix C. PCB layout

D. 115/230 V conversion

D.1 Fuse

The fuse is a ceramic antisurge, 0.25A (230V) or 0.63A (115V), 5x20mm, for example Littlefuse 0215.250MXP or 0215.630MXP. The fuse holder is a red cartridge just above the IEC power inlet and main switch on the rear of the unit (Fig. D.1).moglabs-PID-Fast -Servo-Controller-fig (6)

Figure D.1: Fuse catridge, showing fuse placement for operation at 230 V.
D.2 120/240 V conversion
The controller can be powered from AC at 50 to 60 Hz, 110 to 120 V (100 V in Japan), or 220 to 240 V. To convert between 115 V and 230 V, the fuse cartridge should be removed, and re-inserted such that the correct voltage shows through the cover window and the correct fuse (as above) is installed.
41

42

Appendix D. 115/230 V conversion

Figure D.2: To change fuse or voltage, open the fuse cartridge cover with a screwdriver inserted into a small slot at the left edge of the cover, just to the left of the red voltagе индикатор.

When removing the fuse catridge, insert a screwdriver into the recess at the left of the cartridge; do not try to extract using a screwdriver at the sides of the fuseholder (see figures).

ПОГРЕШНО!

ТАЧНО

Figure D.3: To extract the fuse cartridge, insert a screwdriver into a recess at the left of the cartridge.
Приликом промене волtage, the fuse and a bridging clip must be swapped from one side to the other, so that the bridging clip is always on the bottom and the fuse always on the top; see figures below.

D.2 120/240 V conversion

43

Figure D.4: 230 V bridge (left) and fuse (right). Swap the bridge and fuse when changing voltage, so that the fuse remains uppermost when inserted.

Figure D.5: 115 V bridge (left) and fuse (right).

44

Appendix D. 115/230 V conversion

Библиографија
[1] Alex Abramovici and Jake Chapsky. Feedback Control Systems: A Fast-Track Guide for Scientists and Engineers. Springer Science & Business Media, 2012. 1
[2] Boris Lurie and Paul Enright. Classical Feedback Control: With MATLAB® and Simulink®. CRC Press, 2011. 1
[3] Richard W. Fox, Chris W. Oates, and Leo W. Hollberg. Stabilizing diode lasers to high-finesse cavities. Experimental methods in the physical sciences, 40:1­46, 2003. 1
[4] R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward. Laser phase and frequency stabilization using an optical resonator. Appl. Phys. B, 31:97­ 105, 1983. 1
[5] T. W. Ha¨nsch and B. Couillaud. Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity. Optics communications, 35(3):441­444, 1980. 1
[6] M. Zhu and J. L. Hall. Stabilization of optical phase/frequency of a laser system: application to a commercial dye laser with an external stabilizer. J. Opt. Soc. Am. B, 10:802, 1993. 1
[7] G. C. Bjorklund. Frequency-modulation spectroscopy: a new method for measuring weak absorptions and dispersions. Opt. Lett., 5:15, 1980. 1
[8] Joshua S Torrance, Ben M Sparkes, Lincoln D Turner, and Robert E Scholten. Sub-kilohertz laser linewidth narrowing using polarization spectroscopy. Optics express, 24(11):11396­ 11406, 2016. 1
45

[9] S. C. Bell, D. M. Heywood, J. D. White, and R. E. Scholten. Laser frequency offset locking using electromagnetically induced transparency. Appl. Phys. Lett., 90:171120, 2007. 1
[10] W. Demtr¨oder. Laser Spectroscopy, Basic Concepts and Instrumentation. Springer, Berlin, 2e edition, 1996. 1
[11] L. D. Turner, K. P. Weber, C. J. Hawthorn, and R. E. Scholten. Frequency noise characterization of narrow linewith diode lasers. Opt. Communic., 201:391, 2002. 29
46

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moglabs PID Fast Servo Controller [пдф] Упутство за употребу
PID Fast Servo Controller, PID, Fast Servo Controller, Servo Controller

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