Spatiotemporal instabilities in an optical parametric oscillator.

G. L. Oppo; M. Brambilla; D. Camesasca; L. A. Lugiato

doi:10.1117/12.179639

Spatiotemporal instabilities in an optical parametric oscillator.

G. L. Oppo, M. Brambilla, D. Camesasca, L. A. Lugiato

Physics

Research output: Contribution to journal › Conference article › peer-review

Abstract

We consider a degenerate optical parametric oscillator (O.P.O.) consisting of a crystal in a ring resonator. The occurrence of spatial instabilities in such system due to diffraction are studied and it is shown that they may lead to the formation of stationary or dynamical spatial patterns. The thresholds for such instabilities are derived when either the pumped and the generated modes are detuned with respect to the cavity reference frequency; the patterns that emerge from the instability are calculated analytically by bifurcation analysis. Numerical simulations substantially confirm the onset of such phenomena giving evidence of the formation of rolls, zig-zag patterns, dislocations, filamentation and optical chaos.

Original language	English
Pages (from-to)	10-15
Number of pages	6
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2099
DOIs	https://doi.org/10.1117/12.179639
Publication status	Published - 6 Jul 1994
Event	Nonlinear Dynamics in Lasers and Optical Systems 1993 - Moscow, Russian Federation Duration: 27 Jun 1993 → 4 Jul 1993

Keywords

optical parametric oscillator
spatiotemporal instabilities
ring resonator
spatial patterns
numerical simulations
nonlinear optics

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10.1117/12.179639

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title = "Spatiotemporal instabilities in an optical parametric oscillator.",

abstract = "We consider a degenerate optical parametric oscillator (O.P.O.) consisting of a crystal in a ring resonator. The occurrence of spatial instabilities in such system due to diffraction are studied and it is shown that they may lead to the formation of stationary or dynamical spatial patterns. The thresholds for such instabilities are derived when either the pumped and the generated modes are detuned with respect to the cavity reference frequency; the patterns that emerge from the instability are calculated analytically by bifurcation analysis. Numerical simulations substantially confirm the onset of such phenomena giving evidence of the formation of rolls, zig-zag patterns, dislocations, filamentation and optical chaos.",

keywords = "optical parametric oscillator, spatiotemporal instabilities, ring resonator, spatial patterns, numerical simulations, nonlinear optics",

author = "Oppo, {G. L.} and M. Brambilla and D. Camesasca and Lugiato, {L. A.}",

note = "Funding Information: 7118 TONICS. We also acknowledge financial support from SERC grants GR/G/12665 and GR/H/62060, from the CNR Research grant n. 92.01369.CTO2 and from the NATO Collaborative Research grant n.921142. Funding Information: This research was carried out in the framework of the ESPRIT Basic Research Actions 6934 QUINTEC and Publisher Copyright: {\textcopyright} 1994 SPIE. All rights reserved.; Nonlinear Dynamics in Lasers and Optical Systems 1993 ; Conference date: 27-06-1993 Through 04-07-1993",

year = "1994",

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doi = "10.1117/12.179639",

language = "English",

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TY - JOUR

T1 - Spatiotemporal instabilities in an optical parametric oscillator.

AU - Oppo, G. L.

AU - Brambilla, M.

AU - Camesasca, D.

AU - Lugiato, L. A.

N1 - Funding Information: 7118 TONICS. We also acknowledge financial support from SERC grants GR/G/12665 and GR/H/62060, from the CNR Research grant n. 92.01369.CTO2 and from the NATO Collaborative Research grant n.921142. Funding Information: This research was carried out in the framework of the ESPRIT Basic Research Actions 6934 QUINTEC and Publisher Copyright: © 1994 SPIE. All rights reserved.

PY - 1994/7/6

Y1 - 1994/7/6

N2 - We consider a degenerate optical parametric oscillator (O.P.O.) consisting of a crystal in a ring resonator. The occurrence of spatial instabilities in such system due to diffraction are studied and it is shown that they may lead to the formation of stationary or dynamical spatial patterns. The thresholds for such instabilities are derived when either the pumped and the generated modes are detuned with respect to the cavity reference frequency; the patterns that emerge from the instability are calculated analytically by bifurcation analysis. Numerical simulations substantially confirm the onset of such phenomena giving evidence of the formation of rolls, zig-zag patterns, dislocations, filamentation and optical chaos.

AB - We consider a degenerate optical parametric oscillator (O.P.O.) consisting of a crystal in a ring resonator. The occurrence of spatial instabilities in such system due to diffraction are studied and it is shown that they may lead to the formation of stationary or dynamical spatial patterns. The thresholds for such instabilities are derived when either the pumped and the generated modes are detuned with respect to the cavity reference frequency; the patterns that emerge from the instability are calculated analytically by bifurcation analysis. Numerical simulations substantially confirm the onset of such phenomena giving evidence of the formation of rolls, zig-zag patterns, dislocations, filamentation and optical chaos.

KW - optical parametric oscillator

KW - spatiotemporal instabilities

KW - ring resonator

KW - spatial patterns

KW - numerical simulations

KW - nonlinear optics

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U2 - 10.1117/12.179639

DO - 10.1117/12.179639

M3 - Conference article

AN - SCOPUS:85076399935

SN - 0277-786X

VL - 2099

SP - 10

EP - 15

JO - Proceedings of SPIE

JF - Proceedings of SPIE

T2 - Nonlinear Dynamics in Lasers and Optical Systems 1993

Y2 - 27 June 1993 through 4 July 1993

ER -

Spatiotemporal instabilities in an optical parametric oscillator.

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Keywords

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