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Title: Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry{endash}Perot cavities

Abstract

Absolute instabilities of counterpropagating pump beams in a dispersive Kerr medium, placed inside a Fabry{endash}Perot cavity, are analytically studied by use of the analysis and the results of part I [J. Opt. Soc. B {bold 14}, {bold 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{endash}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. {copyright} 1998 Optical Society of America

Authors:
;  [1];  [2]
  1. Department of Mechanical Engineering and Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14627 (United States)
  2. The Institute of Optics, University of Rochester, Rochester, New York 14627 (United States)
Publication Date:
OSTI Identifier:
613991
Resource Type:
Journal Article
Journal Name:
Journal of the Optical Society of America, Part B: Optical Physics
Additional Journal Information:
Journal Volume: 15; Journal Issue: 2; Other Information: PBD: Feb 1998
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; STABILITY; MIRRORS; FABRY-PEROT INTERFEROMETER; OPTICAL PUMPING; CAVITIES; KERR EFFECT; PARAMETRIC OSCILLATORS; BEAMS; FREQUENCY MODULATION; INSTABILITY; MIXING; OPTICAL DISPERSION; REFLECTIVITY; WAVE PROPAGATION

Citation Formats

Yu, M, McKinstrie, C J, and Agrawal, G P. Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry{endash}Perot cavities. United States: N. p., 1998. Web. doi:10.1364/JOSAB.15.000617.
Yu, M, McKinstrie, C J, & Agrawal, G P. Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry{endash}Perot cavities. United States. https://doi.org/10.1364/JOSAB.15.000617
Yu, M, McKinstrie, C J, and Agrawal, G P. Sun . "Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry{endash}Perot cavities". United States. https://doi.org/10.1364/JOSAB.15.000617.
@article{osti_613991,
title = {Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry{endash}Perot cavities},
author = {Yu, M and McKinstrie, C J and Agrawal, G P},
abstractNote = {Absolute instabilities of counterpropagating pump beams in a dispersive Kerr medium, placed inside a Fabry{endash}Perot cavity, are analytically studied by use of the analysis and the results of part I [J. Opt. Soc. B {bold 14}, {bold 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{endash}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. {copyright} 1998 Optical Society of America},
doi = {10.1364/JOSAB.15.000617},
url = {https://www.osti.gov/biblio/613991}, journal = {Journal of the Optical Society of America, Part B: Optical Physics},
number = 2,
volume = 15,
place = {United States},
year = {1998},
month = {2}
}