Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Optical Society of America B

Time-domain Fabry–Perot resonators formed inside a dispersive medium

Junchi Zhang, William R. Donaldson, Govind Prasad Agrawal

Published Jul 4, 2021• 25 citations
Publisher

Abstract

We show that the temporal analog of a Fabry–Perot resonator (FPR) can be realized by using two moving temporal boundaries, formed by intense pump pulses inside a dispersive medium (such as an optical fiber). We analyze such FPRs using a transfer-matrix method, similar to that used for spatial structures containing multiple thin films. We consider a temporal slab formed using a single square-shape pump pulse and find that the resonance of such an FPR has transmission peaks whose quality ( Q ) factors decrease rapidly with an increasing velocity difference between the pump and probe pulses. We propose an improved design by using two pump pulses. We apply our transfer-matrix method to this design and show considerable improvement in the Q factors of various peaks. We also show that such FPRs can be realized in practice by using two short pump pulses that propagate as solitons inside a fiber. We verified the results of the transfer-matrix method by directly solving the pulse propagation equation with the split-step Fourier method.

DOI
10.1364/josab.428411

Related papers

Optical pulse propagation in dynamic Fabry–Perot resonators

Yuzhe Xiao, Drew N. Maywar, Govind Prasad Agrawal

We present a simple and intuitive model based on the impulse response of linear electrical systems for describing the propagation of optical pulses through a dynamic Fabry–Perot resonator whose refractive index changes with time. Our model shows that the adiabatic wavelength conversion process in resonators results from a scaling of the round-trip time with index changes. For pulses longer than the cavity round-trip time, we find that more energy can be transferred to the new wavelength when the input pulses are slightly detuned from the cavity resonance and the refractive index does not change too rapidly. In fact, the optimum duration of index changes scales with the photon lifetime of the resonator. We describe the evolution of the shape and spectrum of picosecond pulses inside a resonator under a variety of input conditions and with the magnitude and duration of index variations. We also apply our general theory to the case of pulses whose widths are shorter than the round-trip time and derive an analytical expression for the output field under quite general conditions. This analysis reveals a shifting of the spectral comb as well as compression of the temporal pulse train that depends on the both the magnitude and sign of the index change. Our results should find applications in the area of optical signal processing using resonant photonic structures.

Journal of the Optical Society of America B•Jun 13, 2011•18 citations

Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium II Application to Fabry–Perot cavities

Meng-Lin Yu, Colin J. McKinstrie, Govind Prasad Agrawal

Absolute instabilities of counterpropagating pump beams in a dispersive Kerr medium, placed inside a Fabry–Perot cavity, are analytically studied by use of the analysis and the results of part I [J. Opt. Soc. B14, 607 (1998)]. Our approach allows characterization of such a complicated nonlinear system in terms of a doubly resonant optical parametric oscillator. We consider the growth of modulation-instability sidebands associated with each pump beam when weak probe signals are injected through one of the mirrors of the Fabry–Perot cavity. The results are used to obtain the threshold condition for the onset of the absolute instability and the growth rate for the unstable sidebands in the above-threshold regime. As expected, the well-known Ikeda instability is recovered at low modulation frequencies. The effects of the group-velocity dispersion are found to become quite important at high modulation frequencies. Although the absolute instability dominates in the anomalous-dispersion regime, it exists even in the normal-dispersion regime of the nonlinear medium. Below the instability threshold, our analysis provides analytic expressions for the probe transmittivity and the reflectivity of the phase-conjugated signal that is generated through a four-wave-mixing process.

Journal of the Optical Society of America B•Feb 1, 1998•10 citations

Ultra‐fast dynamic nonlinear mechanism of Fabry–Perot cavity with femtosecond pumping

Xueyang Shi, Yu Zhang, Xunya Jiang

Abstract We numerically investigate the ultrafast dynamic nonlinear mechanism of an Fabry‐Perot (FP) cavity with femtosecond (fs) pumping by the transmission change of an incident signal pulse. The nonlinear effect simulated by a two‐level system model can decrease the dielectric constant. Therefore, the temporally transmitted pulse is compressed owing to the faster phase velocity, and a sloped change in the transmission spectra is observed, which can be explained by the mechanism of pulse deformation. In addition, we stretched a certain part of the temporally transmitted pulse to further demonstrate the deformation of the pulse mechanism. This dynamic nonlinear mechanism based on the FP cavity can not only be used to design new optical devices with ultrafast response times, such as pulse modulators and passive amplifiers, but can also be easily constructed and integrated, which has great practical applications.

Microwave and Optical Technology Letters•Jun 2, 2022•0 citations

Dynamic features of interaction between a sequence of ultrashort laser pulses and planar, thin-film microcavities

Vladimir A. Goryachev, Sergey M. Zakharov

A theory of coherent interaction between a sequence of ultrashort laser pulses and planar, thin-film microcavities in the form of Fabry-Perot resonators containing resonating atoms has been developed. The dynamics of transmission of single laser pulses has been analyzed numerically. Analytic solutions of the problem of four-wave mixing of optical fields separated in time have been obtained in the small-area approximation. The dynamic efficiency of conversion of incident waves to the coherent response field (photon echo) generated in a microcavity can be higher than in the case of a bulk resonant structure. Specific features of photon echo generation in a microcavity for arbitrary “areas” of laser pump pulses are discussed.

Journal of Experimental and Theoretical Physics•Nov 1, 1998•0 citations

Switching Dynamics of Dispersive Optical Bistable Devices, Using Three-Level Systems as Active Media

B. Hönerlage, J. B. Grün

We calculate within a mean-field theory the transient transmission properties of a three-level system, placed inside a Fabry-Pérot resonator. We consider the case where a holding beam defines the state of transmission and a pulse with a Gaussian temporal shape switches the device to the other stable state. We apply the problem to CuCl, where the different relaxation times are quite well established.

Europhysics Letters (EPL)•Mar 15, 1987•5 citations

Measurement of photon pair generation in a high-Q-fiber Fabry-Perot resonator with a pulsed pump signal

Nassim Zaki, Bénoît Chalopin, Arnaud Fernandez +3 more

Photon pairs generated by a fiber Fabry-Perot resonator are measured. The experiment set up is designed in pulsed mode in order to fit the future requirements of a time bin quantum telecommunications link. It is based on an optically filtered and RF modulated high spectral purity laser on the pump side and a set of SPAD circuits and a time-tagger on the detection side. The laser and the resonator frequency are locked with a PDH approach. Coincidence measurements yield 570 and 50 coincidences per second for the LEAF and HNL resonators, respectively, using 16 dBm pulses with a 1/100 duty cycle and a 100 kHz repetition rate.

SPIE Quantum Technologies•Apr 10, 2026•0 citations
We show that the temporal analog of a Fabry–Perot resonator (FPR) can be realized by using two moving temporal boundaries, formed by intense pump pulses inside a dispersive medium (such as an optical fiber). We analyze such FPRs using a transfer-matrix method, similar to that used for spatial structures containing multiple thin films. We consider a temporal slab formed using a single square-shape pump pulse and find that the resonance of such an FPR has transmission peaks whose quality ( Q ) factors decrease rapidly with an increasing velocity difference between the pump and probe pulses. We propose an improved design by using two pump pulses. We apply our transfer-matrix method to this design and show considerable improvement in the Q factors of various peaks. We also show that such FPRs can be realized in practice by using two short pump pulses that propagate as solitons inside a fiber. We verified the results of the transfer-matrix method by directly solving the pulse propagation equation with the split-step Fourier method.
We present a simple and intuitive model based on the impulse response of linear electrical systems for describing the propagation of optical pulses through a dynamic Fabry–Perot resonator whose refractive index changes with time. Our model shows that the adiabatic wavelength conversion process in resonators results from a scaling of the round-trip time with index changes. For pulses longer than the cavity round-trip time, we find that more energy can be transferred to the new wavelength when the input pulses are slightly detuned from the cavity resonance and the refractive index does not change too rapidly. In fact, the optimum duration of index changes scales with the photon lifetime of the resonator. We describe the evolution of the shape and spectrum of picosecond pulses inside a resonator under a variety of input conditions and with the magnitude and duration of index variations. We also apply our general theory to the case of pulses whose widths are shorter than the round-trip time and derive an analytical expression for the output field under quite general conditions. This analysis reveals a shifting of the spectral comb as well as compression of the temporal pulse train that depends on the both the magnitude and sign of the index change. Our results should find applications in the area of optical signal processing using resonant photonic structures.
Absolute instabilities of counterpropagating pump beams in a dispersive Kerr medium, placed inside a Fabry–Perot cavity, are analytically studied by use of the analysis and the results of part I [J. Opt. Soc. B14, 607 (1998)]. Our approach allows characterization of such a complicated nonlinear system in terms of a doubly resonant optical parametric oscillator. We consider the growth of modulation-instability sidebands associated with each pump beam when weak probe signals are injected through one of the mirrors of the Fabry–Perot cavity. The results are used to obtain the threshold condition for the onset of the absolute instability and the growth rate for the unstable sidebands in the above-threshold regime. As expected, the well-known Ikeda instability is recovered at low modulation frequencies. The effects of the group-velocity dispersion are found to become quite important at high modulation frequencies. Although the absolute instability dominates in the anomalous-dispersion regime, it exists even in the normal-dispersion regime of the nonlinear medium. Below the instability threshold, our analysis provides analytic expressions for the probe transmittivity and the reflectivity of the phase-conjugated signal that is generated through a four-wave-mixing process.
Abstract We numerically investigate the ultrafast dynamic nonlinear mechanism of an Fabry‐Perot (FP) cavity with femtosecond (fs) pumping by the transmission change of an incident signal pulse. The nonlinear effect simulated by a two‐level system model can decrease the dielectric constant. Therefore, the temporally transmitted pulse is compressed owing to the faster phase velocity, and a sloped change in the transmission spectra is observed, which can be explained by the mechanism of pulse deformation. In addition, we stretched a certain part of the temporally transmitted pulse to further demonstrate the deformation of the pulse mechanism. This dynamic nonlinear mechanism based on the FP cavity can not only be used to design new optical devices with ultrafast response times, such as pulse modulators and passive amplifiers, but can also be easily constructed and integrated, which has great practical applications.
A theory of coherent interaction between a sequence of ultrashort laser pulses and planar, thin-film microcavities in the form of Fabry-Perot resonators containing resonating atoms has been developed. The dynamics of transmission of single laser pulses has been analyzed numerically. Analytic solutions of the problem of four-wave mixing of optical fields separated in time have been obtained in the small-area approximation. The dynamic efficiency of conversion of incident waves to the coherent response field (photon echo) generated in a microcavity can be higher than in the case of a bulk resonant structure. Specific features of photon echo generation in a microcavity for arbitrary “areas” of laser pump pulses are discussed.
Photon pairs generated by a fiber Fabry-Perot resonator are measured. The experiment set up is designed in pulsed mode in order to fit the future requirements of a time bin quantum telecommunications link. It is based on an optically filtered and RF modulated high spectral purity laser on the pump side and a set of SPAD circuits and a time-tagger on the detection side. The laser and the resonator frequency are locked with a PDH approach. Coincidence measurements yield 570 and 50 coincidences per second for the LEAF and HNL resonators, respectively, using 16 dBm pulses with a 1/100 duty cycle and a 100 kHz repetition rate.