Abstract
Photoacoustic dual-comb spectroscopy (DCS), converting spectral information in the optical frequency domain to the audio frequency domain via multi-heterodyne beating, enables background-free spectral measurements with high resolution and broad bandwidth. However, the detection sensitivity remains limited due to the low power of individual comb lines and the lack of broadband acoustic resonators. Here, we develop cavity-enhanced photoacoustic DCS, which overcomes these limitations by using a high-finesse optical cavity for the power amplification of dual-frequency combs and a broadband acoustic resonator with a flat-top frequency response. We demonstrate high-resolution spectroscopic measurements of trace amounts of C2H2, NH3 and CO in the entire telecommunications C-band. The method shows a minimum detection limit of 0.6 ppb C2H2 at the measurement time of 100 s, corresponding to the noise equivalent absorption coefficient of 7 × 10−10 cm−1. The proposed cavity-enhanced photoacoustic DCS may open new avenues for ultrasensitive, high-resolution, and multi-species gas detection with widespread applications.
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Introduction
Since its first demonstrations two decades ago1,2,3,4, dual-comb spectroscopy (DCS) has evolved into a powerful tool in many fields such as spectroscopy and microscopy5,6,7,8,9, precision metrology10,11, spectral lidar12,13, environmental monitoring14,15, and advanced hyperspectral holography and imaging16,17. Particularly, DCS plays an important role in modern high-precision and broadband molecular spectroscopy, which performs Fourier transform spectroscopy rapidly without using any moving parts. In this setup, one frequency comb passes through a gas sample to be analyzed and beats on a photodetector with a second phase-locked comb with a slightly different repetition rate. The multiheterodyne beats between pairs of comb lines generate an interferometric signal, which is accessible by radio-frequency (RF) electronics and Fourier-transformed to reveal the sample’s spectrum. DCS can fully capitalize on the frequency resolution and accuracy, broad bandwidth, and high repetition rate of different types of comb sources for high-speed, ultrahigh-resolution and broadband spectroscopy6,7,18,19,20,21.
Conventional DCS22 is implemented by measuring the transmitted comb light intensity precisely using a fast photodetector. The absorption spectrum needs to be extracted from the large background signal, which is not a trivial task especially for weak absorbance. Compared to direct absorption measurements, DCS can also be performed by taking advantage of other spectroscopic techniques such as photoacoustic and photothermal detection23,24,25,26. These indirect absorption measurements enable the background-free detection of molecular spectra, where only the comb lines absorbed by the gas medium can generate the photoacoustic/thermal multi-heterodyne beatnotes.
For instance, photoacoustic spectroscopy (PAS), which has been widely used in gas sensing27 and imaging28, normally uses a microphone to detect acoustic waves, which are generated by the non-radiative collisional relaxation of the excited molecules after absorbing the modulated light. Sadiek et al. reported the first PAS using a frequency comb and implemented a Fourier transform spectrometer (FTS) to modulate the intensity of the frequency comb29. To eliminate the mechanical parts in FTS, photoacoustic DCS has been recently demonstrated for measuring gaseous acetylene (C2H2)23 and polymer films24. In these proof-of-concept experiments, the detection sensitivity still needs to be improved, i.e., a minimum detection limit (MDL) of 10 ppm was achieved for C2H2 detection at a recording time of 1000 s23. By replacing the microphone with a quartz tuning fork (QTF) that has a high Q-factor, the QTF-based photoacoustic DCS was developed to improve the MDL to 8.3 ppb C2H230. Nevertheless, the generated RF comb lines have to lie within the extremely narrow resonance bandwidth (several Hz) of the QTF, significantly limiting the detection bandwidth. Therefore, the capability of achieving the simultaneous high sensitivity and broad bandwidth for photoacoustic DCS has been hindered by lacking high-power comb light for exciting the photoacoustic effect and broadband acoustic resonators for amplifying all the generated acoustic waves effectively.
In this study, we introduce cavity-enhanced photoacoustic DCS for ultrasensitive, broadband, and high-resolution spectroscopic detection, by combining two cutting-edge technologies to overcome the aforementioned shortcomings. First, employing a flute-type acoustic resonator, we realize sensitive photoacoustic detection with a 3-dB bandwidth of more than 5 kHz in the audio frequency range of 2.7–8.0 kHz. Second, injecting the two trains of frequency combs simultaneously into a high-finesse optical cavity enables the intracavity power build-up by several orders of magnitude. This leverages the broad detection bandwidth of the novel acoustic resonator and the remarkable comb power enhancement afforded by the optical cavity. In the experiment, we demonstrate the high-resolution cavity-enhanced photoacoustic DCS of multiple gas-phase species including C2H2, NH3 and CO in the entire telecommunications C-band with an ultra-high sensitivity among the state-of-the-art frequency comb spectroscopy.
Results
Concept
The working principle of cavity-enhanced photoacoustic DCS is illustrated in Fig. 1a. Different from the dual-comb absorption measurement in an optical cavity31,32,33,34, cavity-enhanced photoacoustic DCS requires the two combs to be coupled into a cavity simultaneously to enable the generation of intracavity dual-comb multiheterodyne beatnotes. Provided both combs enter the cavity effectively for power enhancement, the multi-heterodyne beating between each comb-line pair causes an amplitude modulation of the cavity-enhanced comb line. After absorption by the target molecules, this leads to the excitation of hundreds or thousands of acoustic waves with evenly spaced frequencies, determined by the repetition rate difference (△fr) and central frequency shifts (△fshift) between the two phase-coherent combs23,26. Ideally, a broadband and open-ended acoustic resonator, which is situated inside the optical cavity, further amplifies all the acoustic waves for more sensitive detection.
Setup
The schematic of the experimental setup is shown in Fig. 1b. Here an electro-optic dual-comb source is used for demonstration purposes considering its flexible tuning of repetition rate (fr) and optical carrier frequency (fc)35. More details of the dual-comb source are provided in Methods. The two trains of frequency combs generated from the same continuous wave (CW) seed laser share the same (not constant) carrier frequency. For one train of the frequency combs with the repetition rate fr,1, locking the seed laser (fc) to the Fabry–Pérot cavity enclosed in a gas cell enables the overlap between the central comb line and one cavity mode, which can be conducted using the Pound-Drever-Hall (PDH) technique36. The other comb lines are coupled into the cavity by tuning fr,1 so that it perfectly matches the free spectral range (FSR, ~833 MHz) of the optical cavity. To obtain a temporally invariant FSR, a stable narrow-linewidth CW laser (1531.58 nm) shown in Fig. 1b is employed as an optical intermedium to stabilize the cavity length by locking the cavity mode to an absorption line of C2H2 (Supplementary Note 1). As a result, all the comb lines with repetition rate fr,1 are arranged in perfect resonance with the cavity modes, whereas the counterpart of the dual-comb source with a slight difference in the repetition rate (fr,2 = fr,1 + △fr, where △fr = 30 Hz) can enter the cavity automatically. We estimate a negligible difference (< 0.7%) in the relative intensity attenuation for the two comb lines coupled into the same cavity mode (Methods). Additionally, we eliminated the possible interference between the three locking loops by using an orthogonal polarization arrangement for the comb light and CW lasers and carefully selecting modulation frequencies for the three EOMs used for PDH locking purposes (Supplementary Note 1).
A broadband acoustic detector serves as a key element in photoacoustic DCS. Inspired by the flute instrument, we designed a broadband acoustic resonator to amplify many acoustic waves with distinct frequencies. As shown in Fig. 1b, it includes a longitudinal acoustic resonator (length: 35 mm; inner diameter: 2 mm) in the center, connected with two buffering volumes (length: 17.5 mm; inner diameter: 12 mm). Two end-caps are used to cover the buffering volumes, and a central through hole (diameter: 2 mm) is made in each cap for optical access. For acoustic wave detection, two microphones are installed in the central acoustic resonator and the superimposed electrical signals are added by a low-noise summing circuit. Finally, the microphone output is digitized and Fourier-transformed to obtain the photoacoustic spectrum. It should be noted that all the signal generators and the data-acquisition card are synchronized to a rubidium clock to maintain long-term locking and measurement stability.
The frequency response of the broadband acoustic resonator was characterized by measuring the photoacoustic signal of 10 ppm C2H2/N2 using a 1531.58-nm CW laser at varied intensity modulation frequencies (Supplementary Note 2). As shown in Fig. 1c, our acoustic resonator shows an excellent flat-top frequency response with a bandwidth (3 dB) of 5088 Hz in the frequency range of 2.9-8.0 kHz. This is tens of times broader than the traditional longitudinal acoustic resonator37, and over three orders of magnitude larger than the QTF30,38. As discussed later, such a broadband response benefits from the merging of higher-order acoustic modes inside the acoustic resonator.
By filling 10 ppm C2H2 in the gas cell at the atmospheric pressure (760 Torr), the representative cavity-enhanced photoacoustic DCS signal is illustrated in the top panel of Fig. 2a. The strong spectral profile at 5 kHz in the acoustic frequency domain corresponds to the P(9) line of C2H2 at 195.895 THz in the optical domain. In contrast, we also conducted the single-pass measurement by using the same dual-comb source and acoustic resonator, but removing the optical resonator from the setup. Note that a much higher concentration (5000 ppm) of C2H2 was required to achieve a similar signal level in Fig. 2b. The dual-comb reference spectra plotted in the two bottom panels were recorded when measuring the single-pass signal and the cavity-enhanced signal, respectively; they show similar profiles in these two measurements. By taking into account the difference in the photoacoustic signal amplitude and gas concentration, the use of such a high-finesse cavity significantly enhances the dual-comb signal by a factor of 924. We estimate an average intracavity comb power of 130 mW for each pair of comb lines (Methods).
Broadband multi-species measurement
Over the telecommunications C-band (1527.3–1569.7 nm), we conducted cavity-enhanced photoacoustic DCS measurements of 10 ppm C2H2, 50 ppm NH3 and 1% CO at the pressure of 760 Torr, respectively. The measurement was recorded with a data sampling rate of 500 kS/s and FFT resolution of 1 Hz. The photoacoustic spectrum was averaged over 60 s to improve the signal-to-noise ratio (SNR), followed by the amplitude normalization by the non-uniform comb-power envelope, the variation of cavity finesse over the wide spectral range, and the frequency response of the acoustic resonator (Supplementary Note 3). Figure 3 shows the entire wide spectra by stitching 41 photoacoustic spectra of C2H2, 66 photoacoustic spectra of NH3 and 21 photoacoustic spectra of CO mixtures measured with an SNR (Methods) of 5952, 8621 and 347, respectively. All the measurements are in good agreement with the simulated absorption spectra using the HITRAN database39. In particular, the inset graph demonstrates several very weak lines of C2H2 with absorption coefficients around 1 × 10−6 cm−1. The polyatomic molecule NH3 features a complex infrared spectrum with many blended lines, which are well resolved by our spectrometer as shown in the inset graph. Note that the overtone spectrum of CO in this wavelength range has a very small line-strength (mostly below 10−23 cm−1/(molecules cm−2)), which is 2–3 orders of magnitude smaller than C2H2 and NH3.
Linear response and detection limit
The strongest absorption line of each species was selected to investigate the gas sensing performance. Here we studied the P(9) line of C2H2 at 195.895 THz with a line-strength of 1.211 × 10−20 cm−1/(molecules cm−2). Note that the cavity finesse may degrade due to the stronger absorption at a much higher gas concentration, thus affecting the linear response of cavity-enhanced gas sensors40,41. With this factor taken into account, Fig. 4a plots the amplitude of the photoacoustic signal as a function of gas concentration for C2H2/N2 mixtures, showing a good linear response (R2 > 0.99). The vertical error bar (1-σ standard deviation) is calculated from the variation of the peak amplitude acquired over a time period of 60 s. The Allan-Werle deviation analysis is conducted to evaluate the long-term stability and detection limit by measuring zero gas (here N2)40,41,42 for one hour. The photoacoustic signal and the noise are evaluated at the dual-comb power of 30 mW and the same acoustic frequency of 5290 Hz which corresponds to the absorption peak of C2H2 at 195.895 THz (Methods). As illustrated in Fig. 4b, our sensor demonstrates a minimum detection limit (MDL) of 0.6 ppb for C2H2 at the averaging time of 100 s, corresponding to the noise equivalent absorption (NEA) coefficient of 7 × 10−10 cm−1. We also studied the blended lines (pP(5,3)s, pP(5,3)a) of NH3 at 195.731 THz with a line-strength of 1.35 × 10−21 cm−1/(molecules cm−2) and the R(7) line of CO at 191.190 THz with a line-strength of 2.22 × 10−23 cm−1/(molecules cm−2). The results are provided in Supplementary Note 4.
Discussion
The flute-type acoustic resonator plays a significant role in cavity-enhanced photoacoustic DCS for broadband acoustic detection. Here we briefly discuss the parameters affecting its frequency response; the detailed structure of the acoustic resonator is provided in Supplementary Note 2. Figure 5a illustrates the different frequency responses of an open-ended longitudinal resonator with varied inner diameters. The resonator with an inner diameter of 2 mm excites more high-frequency acoustic modes. Two end caps are then added to cover the buffering volumes with a diameter of 12 mm; a central hole is made for optical access. As shown in Fig. 5b, it leads to a smooth and broadband frequency response. The configuration with a smaller hole (2 mm diameter) in the cap contributes to a broader frequency response (4108 Hz in bandwidth). Finally, compared to the single microphone installed at the central position shown in Fig. 5a and b, we drilled another hole nearby (6.5 mm away) for the installation of the second microphone. The generated electrical signals by the two microphones are summed by a low-noise circuit with the results plotted in Fig. 5c, showing a flat-top response with an increased bandwidth of 5088 Hz. The traditional photoacoustic resonator is characterized by a Q-factor of 38 and bandwidth of 150 Hz. Such a narrow bandwidth makes it unsuitable for amplifying multiple acoustic waves. In comparison, our resonator has a bandwidth of 5088 Hz, which is about 34 times larger. By targeting a broader flat-top frequency response with a larger signal amplitude, it is possible to further optimize the geometry of the acoustic resonator using finite element analysis27,43. It is also interesting to explore acoustic resonators with bandwidths located at higher frequencies to reduce the 1/f noise.
Our platform proves the feasibility of significantly enhancing the comb power by coupling both frequency combs into a high-finesse optical cavity. The successful implementation relies on the one-to-one matching between the comb line and the cavity mode, enabled by the precise control of the comb’s two degrees of freedom (fr and fc) and the cavity length. The average optical power of each comb pair inside the cavity amounts to 130 mW in this work, which can be further enhanced by using a higher-finesse cavity or a high Q-factor microring resonator44. As the simultaneous injection of dual combs into the cavity is needed for intracavity multi-heterodyne beating, the sharper resonance of the higher-finesse cavity may cause certain intensity attenuation for the comb line that is slightly off the cavity resonance. By applying an optical cavity with ten times larger finesse (40780) but reducing the cavity length from 18 cm to 6 cm, the FSR triples to 2.5 GHz and the cavity mode width reduces to 61 kHz. This will only cause a slight attenuation of (< 7%) of the comb intensity for the comb line index beyond 200 (Methods).
Additionally, trace gas detection favors spectral measurements in the mid-infrared region. As mid-infrared dual-combs can be generated using the difference frequency generation (DFG) of a near-infrared electro-optic comb45, we can readily extend the method proposed in the current study to mid-infrared gas sensing applications. Although other types of mid-infrared frequency combs have been recently invented6,7,19,46,47,48,49,50, one may devote to achieving the spectral overlap between the comb lines and cavity modes considering the different mechanisms of controlling the comb parameters. For instance, the mid-infrared combs generated by the DFG process6 need extra mechanisms to match with the optical cavity. Another type of mid-infrared combs created in synchronously pumped optical parametric oscillators (OPOs)7 requires additional electronics to stabilize the repetition rate difference and carrier-envelope offset. For quantum-cascade-laser (QCL) frequency combs19, injection locking and phase locking loops are needed to fully stabilize the comb spacing and frequency offset51. Note that QCL combs normally have a mode spacing of ~10 GHz which are more suitable for spectral measurements of large molecules. Hence, although demonstrated using electro-optic combs in this work, we expect our cavity-enhanced PAS approach can be realized using other fully stabilized comb sources to meet different demands.
In conclusion, we present a novel spectroscopic technique, cavity-enhanced photoacoustic DCS, for ultrasensitive, broadband, and high-resolution molecular spectroscopy and trace gas detection. The acoustic resonator shows a bandwidth beyond 5 kHz which is tens of times broader than the traditional one and ~1000 times broader than the tuning fork. With a coupling efficiency beyond 90%, the high-finesse cavity enhances the optical power of hundreds of comb pairs simultaneously by nearly three orders of magnitude. Benefiting from the broadband acoustic resonator and high-finesse optical cavity, our method enables the comb-line-resolved DCS measurement of trace amounts of C2H2, NH3 and CO in the entire telecommunications C-band. Compared to the recent results of photoacoustic and photothermal DCS of C2H222,26, we have improved the detection sensitivity remarkably from ppm to sub-ppb level. These unique features of our cavity-enhanced photoacoustic DCS may enable a highly powerful analytical tool for broadband, high-precision and high-sensitivity spectroscopic measurements and gas sensing applications.
Materials and methods
Dual-comb source
The electro-optic comb is seeded by a CW external cavity diode laser emitting at optical frequency fc. The seed laser is divided into two branches and each is connected in parallel to an AOM shifting the optical frequency by 25 MHz and 25.0055 MHz, respectively. This leads to a center frequency of 5.5 kHz for the multiheterodyne beatnotes. The frequency comb is generated by intensity modulation using an EOM, which is driven by 50-ps pulses at the repetition rates of 832.95250 MHz and 832.95253 MHz, respectively. Thus we obtain a frequency spacing of 30 Hz for the multiheterodyne beats. After passing through EDFAs, the two frequency combs are counter-launched into a single dispersion compensated fiber with a length of 1 km, a high normal dispersion of −130 ps nm−1 km−1, and a low dispersion slope of −0.15 ps nm−2 km−1 for spectral broadening. The two combs are mixed and split into two beams for photoacoustic detection and power normalization, respectively.
Influence of the mismatch between the comb line and cavity mode
The finesse of a Fabry–Pérot cavity consisting of two identical high-reflectivity mirrors is determined by \(\pi \sqrt{R}/(1-R)\), where R is the reflectivity of the cavity mirrors. By measuring the reflectivity using the cavity-ring down method, the optical cavity used in this work has a finesse of 4078. Considering the cavity length of 18 cm, the FSR is determined to be ~833 MHz (\(FSR=c/2L\), where c is the speed of light and L is the cavity length). The cavity mode can be described by a Lorentzian line-shape:
where ω and (x−xc) are the full width at half maximum (FWHM) and the frequency shift relative to the line-center of the cavity mode, respectively. For the optical cavity used in this work, the FWHM of the cavity mode is 204 kHz at the wavelength near 1531 nm. Selecting a center frequency difference of 5.5 kHz via AOMs and a repetition frequency difference of 30 Hz, the largest frequency among the dual-comb multiheterodyne beats is 8.6 kHz. Provided that one train of frequency combs is in perfect resonance with the cavity modes, the maximum frequency mismatch between the counterpart of the dual-comb and the cavity mode is 8.6 kHz. Hence, this corresponds to the intensity attenuation of only 0.66% according to Eq. (1).
Evaluation of intracavity dual-comb power
The comparison of the single-pass and cavity-enhanced DCS signal in Fig. 2 proves a power enhancement of 924 times. The incident power of the dual-comb source is 30 mW and the total number of comb line pair is about 213. Hence, the average power is (30 mW × 924)/213 ≈ 130 mW for each pair of comb lines. The optical cavity (finesse 4078 in vacuum) theoretically leads to an intracavity power enhancement by a factor of 1299. Considering the finesse degradation induced by 10 ppm C2H2, the cavity enhancement factor is reduced to 1016. Hence, the comparison of the theoretical enhancement factor and the experimental one indicates a coupling efficiency of 91% for the dual-comb light.
Signal-to-noise ratio evaluation
The strongest absorption line of the target species is selected for evaluating the SNR of the spectroscopic gas detection. In our cavity-enhanced photoacoustic DCS, the corresponding radio frequencies for C2H2, NH3, CO are located at 5290 Hz, 4480 Hz and 6430 Hz, respectively. The noise is measured in the same way by filling the gas cell with pure N2.
References
Lee, S. J. et al. Ultrahigh scanning speed optical coherence tomography using optical frequency comb generators. Jpn. J. Appl. Phys. 40, L878–L880 (2001).
Keilmann, F., Gohle, C. & Holzwarth, R. Time-domain mid-infrared frequency-comb spectrometer. Opt. Lett. 29, 1542–1544 (2004).
Schliesser, A. et al. Frequency-comb infrared spectrometer for rapid, remote chemical sensing. Opt. Express 13, 9029–9038 (2005).
Yasui, T., Saneyoshi, E. & Araki, T. Asynchronous optical sampling terahertz time-domain spectroscopy for ultrahigh spectral resolution and rapid data acquisition. Appl. Phys. Lett. 87, 061101 (2005).
Okubo, S. et al. Ultra-broadband dual-comb spectroscopy across 1.0-1.9 μm. Appl. Phys. Express 8, 082402 (2015).
Ycas, G. et al. High-coherence mid-infrared dual-comb spectroscopy spanning 2.6 to 5.2 μm. Nat. Photonics 12, 202–208 (2018).
Muraviev, A. V. et al. Massively parallel sensing of trace molecules and their isotopologues with broadband subharmonic mid-infrared frequency combs. Nat. Photonics 12, 209–214 (2018).
Ideguchi, T. et al. Coherent Raman spectro-imaging with laser frequency combs. Nature 502, 355–358 (2013).
Dong, X. et al. Ultrafast time-stretch microscopy based on dual-comb asynchronous optical sampling. Opt. Lett. 43, 2118–2121 (2018).
Baumann, E. et al. Spectroscopy of the methane ν3 band with an accurate midinfrared coherent dual-comb spectrometer. Phys. Rev. A 84, 062513 (2011).
Zolot, A. M. et al. Broad-band frequency references in the near-infrared: accurate dual comb spectroscopy of methane and acetylene. J. Quant. Spectrosc. Radiat. Transf. 118, 26–39 (2013).
Godbout, M., Deschênes, J. D. & Genest, J. Spectrally resolved laser ranging with frequency combs. Opt. Express 18, 15981–15989 (2010).
Boudreau, S. et al. Chemical detection with hyperspectral lidar using dual frequency combs. Opt. Express 21, 7411–7418 (2013).
Rieker, G. B. et al. Frequency-comb-based remote sensing of greenhouse gases over kilometer air paths. Optica 1, 290–298 (2014).
Giorgetta, F. R. et al. Broadband phase spectroscopy over turbulent air paths. Phys. Rev. Lett. 115, 103901 (2015).
Vicentini, E. et al. Dual-comb hyperspectral digital holography. Nat. Photonics 15, 890–894 (2021).
Martín-Mateos, P., Khan, F. U. & Bonilla-Manrique, O. E. Direct hyperspectral dual-comb imaging. Optica 7, 199–202 (2020).
Suh, M. G. et al. Microresonator soliton dual-comb spectroscopy. Science 354, 600–603 (2016).
Villares, G. et al. Dual-comb spectroscopy based on quantum-cascade-laser frequency combs. Nat. Commun. 5, 5192 (2014).
Ideguchi, T. et al. Kerr-lens mode-locked bidirectional dual-comb ring laser for broadband dual-comb spectroscopy. Optica 3, 748–753 (2016).
Link, S. M. et al. Dual-comb spectroscopy of water vapor with a free-running semiconductor disk laser. Science 356, 1164–1168 (2017).
Coddington, I., Newbury, N. & Swann, W. Dual-comb spectroscopy. Optica 3, 414–426 (2016).
Wildi, T. et al. Photo-acoustic dual-frequency comb spectroscopy. Nat. Commun. 11, 4164 (2020).
Friedlein, J. T. et al. Dual-comb photoacoustic spectroscopy. Nat. Commun. 11, 3152 (2020).
Ren, X. Y. et al. Dual-comb optomechanical spectroscopy. Nat. Commun. 14, 5037 (2023).
Wang, Q. et al. Dual-comb photothermal spectroscopy. Nat. Commun. 13, 2181 (2022).
Wang, F. P. et al. Techniques to enhance the photoacoustic signal for trace gas sensing: a review. Sens. Actuators A: Phys. 345, 113807 (2022).
Shi, J. et al. Hybrid optical parametrically-oscillating emitter at 1930 nm for volumetric photoacoustic imaging of water content. eLight 2, 6 (2022).
Sadiek, I. et al. Optical frequency comb photoacoustic spectroscopy. Phys. Chem. Chem. Phys. 20, 27849–27855 (2018).
Ren, X. Y. et al. Dual-comb quartz-enhanced photoacoustic spectroscopy. Photoacoustics 28, 100403 (2022).
Bernhardt, B. et al. Cavity-enhanced dual-comb spectroscopy. Nat. Photonics 4, 55–57 (2010).
Fleisher, A. J. et al. Coherent cavity-enhanced dual-comb spectroscopy. Opt. Express 24, 10424–10434 (2016).
Hoghooghi, N. et al. Broadband coherent cavity-enhanced dual-comb spectroscopy. Optica 6, 28–33 (2019).
Zhang, W. P. et al. Adaptive cavity-enhanced dual-comb spectroscopy. Photonics Res. 7, 883–889 (2019).
Millot, G. et al. Frequency-agile dual-comb spectroscopy. Nat. Photonics 10, 27–30 (2016).
Black, E. D. An introduction to Pound-Drever-Hall laser frequency stabilization. Am. J. Phys. 69, 79–87 (2001).
Yin, X. K. et al. Ppb-level H2S detection for SF6 decomposition based on a fiber-amplified telecommunication diode laser and a background-gas-induced high-Q photoacoustic cell. Appl. Phys. Lett. 111, 031109 (2017).
Lang, Z. T. et al. Fabry-Perot-based phase demodulation of heterodyne light-induced thermoelastic spectroscopy. Light. Adv. Manuf. 4, 2689–9620 (2023).
Gordon, I. E. et al. The HITRAN2016 molecular spectroscopic database. J. Quant. Spectrosc. Radiat. Transf. 203, 3–69 (2017).
Wang, Z. et al. Ultrasensitive photoacoustic detection in a high-finesse cavity with Pound-Drever-Hall locking. Opt. Lett. 44, 1924–1927 (2019).
Borri, S. et al. Intracavity quartz-enhanced photoacoustic sensor. Appl. Phys. Lett. 104, 091114 (2014).
Wu, H. P. et al. Beat frequency quartz-enhanced photoacoustic spectroscopy for fast and calibration-free continuous trace-gas monitoring. Nat. Commun. 8, 15331 (2017).
El-Busaidy, S. A. S. et al. Modelling of open photoacoustic resonators. Photoacoustics 18, 100161 (2020).
Lee, H. et al. Chiral exceptional point and coherent suppression of backscattering in silicon microring with low loss Mie scatterer. eLight 3, 20 (2023).
Yan, M. et al. Mid-infrared dual-comb spectroscopy with electro-optic modulators. Light Sci. Appl. 6, e17076 (2017).
Griffith, A. G. et al. Silicon-chip mid-infrared frequency comb generation. Nat. Commun. 6, 6299 (2015).
Guo, H. R. et al. Mid-infrared frequency comb via coherent dispersive wave generation in silicon nitride nanophotonic waveguides. Nat. Photonics 12, 330–335 (2018).
Schwarz, B. et al. Monolithic frequency comb platform based on interband cascade lasers and detectors. Optica 6, 890–895 (2019).
Adler, F. et al. Phase-stabilized, 1.5 W frequency comb at 2.8-4.8 μm. Opt. Lett. 34, 1330–1332 (2009).
Jouy, P. et al. Dual comb operation of λ ∼ 8.2 μm quantum cascade laser frequency comb with 1 W optical power. Appl. Phys. Lett. 111, 141102 (2017).
Consolino, L. et al. Fully phase-stabilized quantum cascade laser frequency comb. Nat. Commun. 10, 2938 (2019).
Acknowledgements
This research was supported by the General Research Fund (14209220, 14208221) and Collaborative Research Fund (C4002-22Y) from the University Grants Committee, Innovation and Technology Fund (GHP/129/20SZ) from the Innovation and Technology Commission, Hong Kong SAR, China; National Natural Science Foundation of China (NSFC) (52122003, 62005267, 62375262). We would like to acknowledge Beijing Infrared Semiconductor Technology Co. LTD and LaSense Technology Limited for providing low-noise photodetectors and electrical circuits. We acknowledge the helpful discussion on the design of acoustic resonators with J. Wu at Chongqing University. We also acknowledge M. Hu from the Chinese Academy of Sciences for sharing the EOM device.
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Z.W. and W.R. conceived the idea, designed the experiments, discussed the results and prepared the manuscript. Q.N., H.S., and Z.W. built the systems and conducted the experiments. Q.W. assisted in building the frequency comb source. S.B. and P.D.N. assisted in the high-efficiency PDH locking technique. Q.N. conducted the data analysis. Z.W. and W.R. supervised and coordinated the project.
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Wang, Z., Nie, Q., Sun, H. et al. Cavity-enhanced photoacoustic dual-comb spectroscopy. Light Sci Appl 13, 11 (2024). https://doi.org/10.1038/s41377-023-01353-6
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DOI: https://doi.org/10.1038/s41377-023-01353-6
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