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Experimental evidence of a fundamental noise floor at the tens of millihertz level in laser locking onto unbalanced fibre-based Michelson interferometer

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HAL Id: hal-01569144

https://hal.archives-ouvertes.fr/hal-01569144

Submitted on 26 Jul 2017

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Experimental evidence of a fundamental noise floor at the tens of millihertz level in laser locking onto unbalanced fibre-based Michelson interferometer

Frédéric Audo, Jean-Pierre Coulon, Fabien Kéfélian

To cite this version:

Frédéric Audo, Jean-Pierre Coulon, Fabien Kéfélian. Experimental evidence of a fundamental noise floor at the tens of millihertz level in laser locking onto unbalanced fibre-based Michelson interfer-ometer. 2017 Conference on Lasers and Electro-Optics Europe a& European Quantum Electronics Conference, Jun 2017, Munich, Germany. 2017. �hal-01569144�

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F. Audo, J.P. Coulon, F. Kéfélian

Laboratoire ARTEMIS, Observatoire de la Côte d’Azur & Université Côte d’Azur & CNRS, Nice, France, Contact : fabien.kefelian@oca.eu

Experimental evidence of a fundamental noise floor at the tens

of millihertz level in laser locking onto unbalanced fibre-based

Michelson interferometer

Noise floor and fiber length

In loop noise (error signal) & Out-of-loop noise (beat note frequency)

In loop frequency noise floor < 10-2 Hz/√Hz

( 3 nV/ √Hz at the mixer output)

Introduction

Experimental evidence of the origin of the white noise

Initial goal and experimental setting

• General context : Spectral transfer of

coherence with transfer-interferometer

Low freq noise laser 1

Fiber-based interferometer Laser to stabilize 2 +- -+ SERVO SERVO

Same principle than transfer cavity but with fiber based interferometer

• Fiber based interferometer : compact two-arm interferometer with large length imbalance

using fiber spool

FM 50/50 FM FM : Faraday Mirror Optical frequency Output power c/2L

 Optical frequency discriminator :

1 km spool 10-cm Fabry-Perot cavity with F=50 000

100 101 102 103 104 10-2 10-1 100 101 102 103 104 free laser Frequ en cy noi se PSD [ Hz 2 /Hz] Fourier frequency [Hz]

Cavity stab. laser

fiber stab. laser on table

• High potential for short term laser frequency

stabilization :

Frequency noise of laser stabilized onto 1-km fiber spool with passive isolation

- Kéfélian et al. Opt.Lett (2009)

- Jiang et al. Opt. Exp. (2009)

Good stability of one mode => Very good stability between modes

• Initial goal : To measure the frequency noise floor when two lasers are locked onto two modes of an interferometer with very low optical frequency difference (< 20 GHz)

• Experimental aspects and measurement principles :

- 2 RIO narrow linewidth diode lasers @ 1542 nm with 300 MHz difference - Michelson interferometer with Faraday mirrors and a 300-m optical fiber

- Dual locking using Pound-Drever-Hall technique with 2 different PM frequencies and 1 single low noise transimpedance photodetector

- Laser frequency controller using AOM or combined action on laser current and EOM

- Down-conversion of the beat note to 57 MHz and frequency noise analysis with VCO-PLL based frequency-to-voltage converter and FFT signal analyzer

Free running laser difference Error floor

Locked lasers difference Freq to voltage noise floor

1/f4

AOM : Acousto-Optic Modulator EOM : Electro-Optic Modulator

-10

0

dB

Experimental evidence of an out –of-loop frequency white noise>10-1 Hz/√Hz with unknown origin

o Fiber noise ? NO o Shot noise ? NO

o Photodetector noise ? NO

o EOM residual amplitude noise ? NO

o Diaphonia between the two PDH error signals ? NO o Diode laser residual secondary modes ? NO

o Electronic saturation? NO o Rayleigh backscattering ? NO

?

Sinus modulation at tens of kHz generates low frequency white noise with level proportional to the square of

the tone amplitude

Only non-linear effect can explain such behavior

Optical frequency Output

power c/2L

sin(x)=x-x3/6+O(x5)

Interferometer optical frequency

discriminator residual non linearity

• Non linear servo loop

• Numerical simulation of the effect of the non

linearity of the frequency discriminator on the noise spectrum :

Simulation Experiment Excellent agreement

Noise generation by the residual non linearity depends on :

Noise floor should decrease with the fiber length

Error signal . Free spectral range

Experiments Noise floor increases at

short fiber length ???

/!\ Frequency response of the

discriminator depends on fiber length

Shorter fiber gives more error

signal at high frequencies

Conclusion

• First experimental evidence of the impact of non linearity of

optical frequency discriminator on low noise laser

stabilization

• Result can be generalized to frequency stabilization on

Fabry-Perot cavity and more generally to all stabilization (ex:

power stabilization)

• Numerical simulation can predict the level of white noise

generated by the non linearity

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