Solitary waves as fixed points of infinite-dimensional maps for an optical bistable ring cavity

Analysis

H. Adachihara, D. W. McLaughlin, J. V. Moloney, A. C. Newell

Research output: Contribution to journalArticle

Abstract

The transverse behavior of a laser beam propagating through a bistable optical cavity is investigated analytically and numerically. Numerical experiments that study the (one-dimensional) transverse structure of the steady state profile are described. Mathematical descriptions of (i) an infinite-dimensional map that models the situation, (ii) the solitary waves that represent the transverse steady state structures, (iii) a projection formalism that reduces the infinite-dimensional map to a finite-dimensional one, and (iv) the theoretical analysis of this reduced map are presented in detail. The accuracy of this theoretical analysis is established by comparing its predictions to numerical observations.

Original languageEnglish (US)
Pages (from-to)63-85
Number of pages23
JournalJournal of Mathematical Physics
Volume29
Issue number1
StatePublished - 1988

Fingerprint

Solitary Waves
Solitons
Cavity
Transverse
solitary waves
Fixed point
Ring
cavities
rings
Theoretical Analysis
Laser Beam
Laser beams
projection
Numerical Experiment
Projection
laser beams
formalism
Prediction
profiles
predictions

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Solitary waves as fixed points of infinite-dimensional maps for an optical bistable ring cavity : Analysis. / Adachihara, H.; McLaughlin, D. W.; Moloney, J. V.; Newell, A. C.

In: Journal of Mathematical Physics, Vol. 29, No. 1, 1988, p. 63-85.

Research output: Contribution to journalArticle

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