Modulation instability and frequency-comb generation in hybrid quadratic-cubic resonators with spectral filtering

Minji Shi; Nicolas Englebert; François Leo; Dmitry V. Skryabin; Auro M. Perego

doi:10.1103/3byt-r77p

Modulation instability and frequency-comb generation in hybrid quadratic-cubic resonators with spectral filtering

Minji Shi
, Nicolas Englebert
, François Leo
, Dmitry V. Skryabin
, Auro M. Perego^*

^*Corresponding author for this work

California Institute of Technology
Université libre de Bruxelles
National Physical Laboratory

Research output: Contribution to journal › Article › peer-review

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Abstract

We present an analytical and numerical investigation into the phenomenon of filter-induced modulation instability in passive hybrid optical resonators exhibiting quadratic and cubic nonlinearity. We show that asymmetric spectral losses, with respect to the continuous-wave solution frequency, can trigger sideband amplification in the normal dispersion regime. We calculate the parametric gain and demonstrate the associated pattern formation process. We furthermore show how this parametric process can be exploited to generate optical frequency combs with a tunable repetition rate.

Original language	English
Article number	023522
Journal	Physical Review A
Volume	112
Issue number	2
Early online date	28 Aug 2025
DOIs	https://doi.org/10.1103/3byt-r77p
Publication status	Published - 28 Aug 2025

Bibliographical note

This accepted manuscript is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/). The published article, 'Shi, M, Englebert, N, Leo, F, Skryabin, DV & Perego, AM 2025, 'Modulation instability and frequency-comb generation in hybrid quadratic-cubic resonators with spectral filtering', Physical Review A, vol. 112, no. 2, 023522,' is available at: https://doi.org/10.1103/3byt-r77p

Funding

A.M.P. acknowledges support from the Royal Academy of Engineering through the Research Fellowship Scheme and from EPSRC (Project No. EP/W002868/1). D.V.S. acknowledges support from EPSRC (Project No. EP/X040844) and the Royal Society (Grant No. IES/R3/223225).

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10.1103/3byt-r77p

M Shi et al_AAM_ArXiv_2509.06824v1
This accepted manuscript is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/). The published article, 'Shi, M, Englebert, N, Leo, F, Skryabin, DV & Perego, AM 2025, 'Modulation instability and frequency-comb generation in hybrid quadratic-cubic resonators with spectral filtering', Physical Review A, vol. 112, no. 2, 023522,' is available at: https://doi.org/10.1103/3byt-r77p
Accepted author manuscript, 2.24 MBLicence: CC BY 4.0

https://arxiv.org/abs/2509.06824Licence: CC BY 4.0

Cite this

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title = "Modulation instability and frequency-comb generation in hybrid quadratic-cubic resonators with spectral filtering",

abstract = "We present an analytical and numerical investigation into the phenomenon of filter-induced modulation instability in passive hybrid optical resonators exhibiting quadratic and cubic nonlinearity. We show that asymmetric spectral losses, with respect to the continuous-wave solution frequency, can trigger sideband amplification in the normal dispersion regime. We calculate the parametric gain and demonstrate the associated pattern formation process. We furthermore show how this parametric process can be exploited to generate optical frequency combs with a tunable repetition rate.",

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AB - We present an analytical and numerical investigation into the phenomenon of filter-induced modulation instability in passive hybrid optical resonators exhibiting quadratic and cubic nonlinearity. We show that asymmetric spectral losses, with respect to the continuous-wave solution frequency, can trigger sideband amplification in the normal dispersion regime. We calculate the parametric gain and demonstrate the associated pattern formation process. We furthermore show how this parametric process can be exploited to generate optical frequency combs with a tunable repetition rate.

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Modulation instability and frequency-comb generation in hybrid quadratic-cubic resonators with spectral filtering

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