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 performed by measurements of complex-valued near-infrared spectra of CO and CO${}_2$ by an electro-optic frequency comb coherently coupled to an enhancement cavity of finesse $F=19600$. Following validation, we measure the $30012\leftarrow 00001$ ${}^{12}$C${}^{16}$O${}_2$ vibrational band origin with a combined standard uncertainty of 770 kHz (fractional uncertainty of $4\times 10^{-9}$).

arXiv comment36 pages, 8 figures, 1 table, 95 references

References in corpus (29)

• Cavity-enhanced dual-comb spectroscopy
• Optical frequency comb technology for ultra-broadband radio-frequency photonics
• Coherent Raman spectro-imaging with laser frequency combs
• Adaptive real-time dual-comb spectroscopy
• Frequency-agile dual-comb spectroscopy
• Recommended isolated-line profile for representing high-resolution spectroscopic transitions (IUPAC Technical Report)
• Mid-infrared dual-comb spectroscopy with electro-optic modulators
• Cavity-enhanced optical frequency comb spectroscopy in the mid-infrared - application to trace detection of H2O2
• Direct Frequency Comb Measurement of OD + CO -> DOCO Kinetics
• Continuous probe of cold complex molecules with infrared frequency comb spectroscopy
• Coherent cavity-enhanced dual-comb spectroscopy
• Ultrafast electrooptic dual-comb interferometry
• Raman-induced Kerr-effect dual-comb spectroscopy
• Multiplexed sub-Doppler spectroscopy with an optical frequency comb
• Doppler-free Fourier transform spectroscopy
• Cavity-Enhanced Ultrafast Transient Absorption Spectroscopy
• Electro-optic dual-comb interferometry over 40-nm bandwidth
• Broadband velocity modulation spectroscopy of HfF^+: towards a measurement of the electron electric dipole moment
• Femtosecond frequency comb measurement of absolute frequencies and hyperfine coupling constants in cesium vapor
• Coherent multi-heterodyne spectroscopy using acousto-optic frequency combs
• Sensitive and broadband measurement of dispersion in a cavity using a Fourier transform spectrometer with kHz resolution
• Broadband velocity modulation spectroscopy of ThF${}^{+}$ for use in a measurement of the electron electric dipole moment
• Frequency Comb Velocity-Modulation Spectroscopy
• Cavity-enhanced ultrafast two-dimensional spectroscopy using higher-order modes
• Velocity-selective direct frequency-comb spectroscopy of atomic vapors
• OD + CO -> D + CO2 Branching Kinetics Probed with Time-Resolved Frequency Comb Spectroscopy
• Observation of Rb Two-Photon Absorption Directly Excited by an Erbium-Fiber-Laser-Based Optical Frequency Comb via Spectral Control
• Measurement of the $4S_{1/2}\to 6S_{1/2}$ transition frequency in atomic potassium via direct frequency comb spectroscopy
• Velocity-selective two-photon absorption induced by a diode laser in combination with a train of ultrashort pulses

Cited by in corpus (2)

• Dual-comb cavity ring-down spectroscopy
• Cavity buildup dispersion spectroscopy