2018
DOI: 10.1016/j.jms.2018.07.010
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Quantitative modeling of complex molecular response in coherent cavity-enhanced dual-comb spectroscopy

Abstract: We present a complex-valued electric field model for experimentally observed cavity transmission in coherent cavity-enhanced (CE) multiplexed spectroscopy (i.e., dual-comb spectroscopy, DCS). The transmission model for CE-DCS differs from that previously derived for Fourier-transform CE direct frequency comb spectroscopy [Foltynowicz et al., Appl. Phys. B 110, 163–175 (2013)] by the treatment of the local oscillator which, in the case of CE-DCS, does not interact with the enhancement cavity. Validation is perf… Show more

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Cited by 14 publications
(5 citation statements)
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“…CBDS achieves high accuracy through precise measurement of the cavity resonance frequencies, and accurate modeling and fitting of the buildup signals in the frequency domain. The generality of our field-based method enables applications to dynamic cavity-enhanced sensing throughout the electromagnetic spectrum, making the method amenable to the analysis of intermode 24 and multiplexed 25 buildup signals with detuned local excitation fields. When dynamic events are not of interest, the tightly locked optical scheme allows for coherent timedomain averaging of CBDS signals, and therefore ultrahigh precision with minimal data storage and no dead time.…”
Section: (B)mentioning
confidence: 99%
“…CBDS achieves high accuracy through precise measurement of the cavity resonance frequencies, and accurate modeling and fitting of the buildup signals in the frequency domain. The generality of our field-based method enables applications to dynamic cavity-enhanced sensing throughout the electromagnetic spectrum, making the method amenable to the analysis of intermode 24 and multiplexed 25 buildup signals with detuned local excitation fields. When dynamic events are not of interest, the tightly locked optical scheme allows for coherent timedomain averaging of CBDS signals, and therefore ultrahigh precision with minimal data storage and no dead time.…”
Section: (B)mentioning
confidence: 99%
“…The additional strong resonances in Fig. 2 d correspond to beating between the probe comb steady-state cavity transmission and the local oscillator comb—signals which are used in conventional dual-comb spectroscopy 15 , 22 , 28 , but which are not used in the present analysis.…”
Section: Resultsmentioning
confidence: 99%
“…Alternatively, Fourier transform cavity-enhanced spectroscopy has been demonstrated using either dual-comb interferometry [13,14,15,16] or with a mechanically scanned spectrometer [17,18,19]. Importantly, these techniques are susceptible to cavity dispersion which causes a mismatch between the probe comb and the comb-like grid of cavity resonances [20,21].…”
Section: Introductionmentioning
confidence: 99%
“…The transmission spectrum is the distribution of cavity modes at on- and off-axis excitation, as shown in Figure a,b. Due to the objective existence of intracavity dispersion, this frequency interval can be described by the frequency-dependent free spectral range (FSR) as follows: FSR ( ω 0 ) = c 2 n L C + δϕ ( ω 0 ) δω where c represents the speed of light in vacuum, n represents the refractive index of the gas in the cavity, usually taken as 1, L C is the cavity length, and δφ(ω 0 )/δω represents the total dispersion in the cavity, including that of the mirrors and the gas molecules to be analyzed . Compared with the round-trip phase shift δφ(ω) = 2ω L C / c for the optical field propagation in the dispersion-free cavity, the intracavity total dispersion brings an additional phase shift ϕ(ω).…”
Section: Principles and Theoretical Simulationsmentioning
confidence: 99%
“…where c represents the speed of light in vacuum, n represents the refractive index of the gas in the cavity, usually taken as 1, L C is the cavity length, and δφ(ω 0 )/δω represents the total dispersion in the cavity, including that of the mirrors and the gas molecules to be analyzed. 23 Compared with the round-trip phase shift δφ(ω) = 2ωL C /c for the optical field propagation in the dispersion-free cavity, the intracavity total dispersion brings an additional phase shift ϕ(ω).…”
mentioning
confidence: 99%