### 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 language | English (US) |
---|---|

Pages (from-to) | 63-85 |

Number of pages | 23 |

Journal | Journal of Mathematical Physics |

Volume | 29 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1988 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

## Fingerprint Dive into the research topics of 'Solitary waves as fixed points of infinite-dimensional maps for an optical bistable ring cavity: Analysis'. Together they form a unique fingerprint.

## Cite this

*Journal of Mathematical Physics*,

*29*(1), 63-85. https://doi.org/10.1063/1.528136