Chaos in phase-conjugate resonators as a multimodal mapping

M. R. Belić; P. Stojkov

doi:10.1007/BF02189951

Chaos in phase-conjugate resonators as a multimodal mapping

M. R. Belić^*, P. Stojkov

^*Corresponding author for this work

University of Belgrade

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

12 Citations (Scopus)

Abstract

An optical phase-conjugate resonator, realized by a Kerr-like phase conjugator, and represented by a two-dimensional slowly varying envelope plane-wave model is driven to chaos using two laser pumps in standard four-wave mixing geometry. The relevant slowly varying envelope wave equations are reduced to a one-dimensional map for intracavity intensity and a quasi-periodic hop for its phase. One-dimensional multimodal Bessel mappings arising in this analysis are considered using elementary symbolic dynamic methods.

Original language	English
Pages (from-to)	157-165
Number of pages	9
Journal	Optical and Quantum Electronics
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/BF02189951
Publication status	Published - Mar 1990
Externally published	Yes

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title = "Chaos in phase-conjugate resonators as a multimodal mapping",

abstract = "An optical phase-conjugate resonator, realized by a Kerr-like phase conjugator, and represented by a two-dimensional slowly varying envelope plane-wave model is driven to chaos using two laser pumps in standard four-wave mixing geometry. The relevant slowly varying envelope wave equations are reduced to a one-dimensional map for intracavity intensity and a quasi-periodic hop for its phase. One-dimensional multimodal Bessel mappings arising in this analysis are considered using elementary symbolic dynamic methods.",

author = "Beli{\'c}, {M. R.} and P. Stojkov",

year = "1990",

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AU - Stojkov, P.

PY - 1990/3

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N2 - An optical phase-conjugate resonator, realized by a Kerr-like phase conjugator, and represented by a two-dimensional slowly varying envelope plane-wave model is driven to chaos using two laser pumps in standard four-wave mixing geometry. The relevant slowly varying envelope wave equations are reduced to a one-dimensional map for intracavity intensity and a quasi-periodic hop for its phase. One-dimensional multimodal Bessel mappings arising in this analysis are considered using elementary symbolic dynamic methods.

AB - An optical phase-conjugate resonator, realized by a Kerr-like phase conjugator, and represented by a two-dimensional slowly varying envelope plane-wave model is driven to chaos using two laser pumps in standard four-wave mixing geometry. The relevant slowly varying envelope wave equations are reduced to a one-dimensional map for intracavity intensity and a quasi-periodic hop for its phase. One-dimensional multimodal Bessel mappings arising in this analysis are considered using elementary symbolic dynamic methods.

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U2 - 10.1007/BF02189951

DO - 10.1007/BF02189951

M3 - Article

AN - SCOPUS:0025399909

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VL - 22

SP - 157

EP - 165

JO - Optical and Quantum Electronics

JF - Optical and Quantum Electronics

IS - 2

ER -

Chaos in phase-conjugate resonators as a multimodal mapping

Abstract

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