Theory of filter-induced modulation instability in driven passive optical resonators

Auro M. Perego; Arnaud Mussot; Matteo Conforti

doi:10.1103/PhysRevA.103.013522

Theory of filter-induced modulation instability in driven passive optical resonators

Auro M. Perego, Arnaud Mussot, Matteo Conforti

Aston Institute of Photonic Technologies (AiPT)

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

Abstract

We present the theory of modulation instability induced by spectrally dependent losses (optical filters) in passive driven nonlinear fiber ring resonators. Starting from an Ikeda map description of the propagation equation and boundary conditions, we derive a mean-field model - a generalized Lugiato-Lefever equation - which reproduces with great accuracy the predictions of the map. The effects on instability gain and comb generation of the different control parameters such as dispersion, cavity detuning, filter spectral position, and bandwidth are discussed.

Original language	English
Article number	013522
Journal	Physical Review A
Volume	103
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.103.013522
Publication status	Published - 29 Jan 2021

Bibliographical note

Funding Information:
This study was partly supported by IRCICA, by the French government through the Programme Investissement d'Avenir (I-SITE ULNE/ANR-16-IDEX-0004 ULNE, projects VERIFICO, EXAT, FUNHK) managed by the Agence Nationale de la Recherche. The work of A.M.P. was supported by the Royal Academy of Engineering under the Research Fellowship scheme.

©2021 American Physical Society

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10.1103/PhysRevA.103.013522

Theory of filter-induced modulation instability in driven passive optical resonators
©2021 American Physical Society
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title = "Theory of filter-induced modulation instability in driven passive optical resonators",

abstract = "We present the theory of modulation instability induced by spectrally dependent losses (optical filters) in passive driven nonlinear fiber ring resonators. Starting from an Ikeda map description of the propagation equation and boundary conditions, we derive a mean-field model - a generalized Lugiato-Lefever equation - which reproduces with great accuracy the predictions of the map. The effects on instability gain and comb generation of the different control parameters such as dispersion, cavity detuning, filter spectral position, and bandwidth are discussed.",

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N2 - We present the theory of modulation instability induced by spectrally dependent losses (optical filters) in passive driven nonlinear fiber ring resonators. Starting from an Ikeda map description of the propagation equation and boundary conditions, we derive a mean-field model - a generalized Lugiato-Lefever equation - which reproduces with great accuracy the predictions of the map. The effects on instability gain and comb generation of the different control parameters such as dispersion, cavity detuning, filter spectral position, and bandwidth are discussed.

AB - We present the theory of modulation instability induced by spectrally dependent losses (optical filters) in passive driven nonlinear fiber ring resonators. Starting from an Ikeda map description of the propagation equation and boundary conditions, we derive a mean-field model - a generalized Lugiato-Lefever equation - which reproduces with great accuracy the predictions of the map. The effects on instability gain and comb generation of the different control parameters such as dispersion, cavity detuning, filter spectral position, and bandwidth are discussed.

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Theory of filter-induced modulation instability in driven passive optical resonators

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