A simulation method for dual-comb spectroscopy with jitter noise

Dual-comb spectroscopy is an emerging spectral detection technology with high resolution, high sensitivity, broad bandwidth and fast detection speed. By using a pair of coherent optical frequency combs, asynchronous light sampling is realized and pico-scale theoretical resolution can be achieved without mechanical scanning components. However, coherence between dual combs suffers from the frequency jitter, which causes distortion of spectral information. Furthermore, since jitter noise components in the experiment are complex, widely sourced, and difficult to control. It is impractical to study the effects of a specific jitter noise and observe how jitter correction algorithm works through an actual dual-comb spectroscopy experimental system. To solve this problem, a simulation method is proposed for dualcomb spectroscopy with jitter noise to verify the effectiveness of data processing algorithm. Two Gaussian random jitter sequence with a standard deviation of 0.16fs are generated as time jitter for dual-comb spectroscopy simulation system. The simulation results show that the time jitter causes the calculated spectral center wavelength δν to have a random jitter of standard deviation of ~40GHz. The time-domain averaging method and the frequency-domain averaging method are applied to the data obtained from the simulation system. Through 100 time-domain averaging, there is no visible compensation effect on the deviation of calculated spectral center wavelength, and the SNR becomes worse as the average number increases. On the contrary, 100 frequency-domain averaging reduces the standard deviation of the spectral center wavelength deviation to ~2.6GHz and can obtain 10 times the SNR of 100 time-domain averaging.

[1]  Theodor W. Hänsch,et al.  Optical Frequency Metrology with Solid State Lasers , 1993 .

[2]  William C. Swann,et al.  Low-noise fiber-laser frequency combs , 2007 .

[3]  Qian Zhou,et al.  Parameter optimization of a dual-comb ranging system by using a numerical simulation method. , 2015, Optics express.

[4]  Takeshi Yasui,et al.  Near-infrared broadband dual-frequency-comb spectroscopy with a resolution beyond the Fourier limit determined by the observation time window. , 2015, Optics express.

[5]  R. Holzwarth,et al.  Real-time sub-micron ranging using a dual comb system , 2017, 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC).

[6]  J W Nicholson,et al.  Direct-comb molecular spectroscopy with accurate, resolved comb teeth over 43 THz. , 2012, Optics letters.

[7]  Scott A. Diddams,et al.  The evolving optical frequency comb , 2010 .

[8]  S. Schiller,et al.  Spectrometry with frequency combs. , 2002, Optics letters.

[9]  Fritz Keilmann,et al.  Time-domain mid-infrared frequency-comb spectrometer. , 2004, Optics letters.

[10]  Takeshi Yasui,et al.  Scan-less hyperspectral dual-comb single-pixel-imaging in both amplitude and phase. , 2017, Optics express.

[11]  I. Coddington,et al.  Dual-comb spectroscopy. , 2016, Optica.

[12]  Nathan R Newbury,et al.  Phase-locked, erbium-fiber-laser-based frequency comb in the near infrared. , 2004, Optics letters.

[13]  Qian Zhou,et al.  Synthetic-wavelength-based dual-comb interferometry for fast and precise absolute distance measurement. , 2018, Optics express.

[14]  Ian Coddington,et al.  Sub-micron absolute distance measurements in sub-millisecond times with dual free-running femtosecond Er fiber-lasers. , 2011, Optics express.

[15]  Stefan Kray,et al.  Dual femtosecond laser multiheterodyne optical coherence tomography. , 2008, Optics letters.

[16]  Qian Zhou,et al.  Digital correction method for realizing a phase-stable dual-comb interferometer. , 2018, Optics express.

[17]  T. Hänsch,et al.  Adaptive real-time dual-comb spectroscopy , 2012, Nature Communications.

[18]  I Hartl,et al.  Fiber-laser frequency combs with subhertz relative linewidths. , 2006, Optics letters.

[19]  William C. Swann,et al.  Low-noise fiber-laser frequency combs (Invited) , 2007 .

[20]  Scott A. Diddams,et al.  The evolving optical frequency comb [Invited] , 2010 .

[21]  Shanhui Fan,et al.  Dual band dual focus optical coherence tomography for imaging the whole eye segment. , 2015, Biomedical optics express.

[22]  William C Swann,et al.  Time-domain spectroscopy of molecular free-induction decay in the infrared. , 2010, Optics letters.