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:
-
- Department of Mechanical Engineering and Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14627 (United States)
- 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}
}
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