Solitary waves as fixed points of infinitedimensional maps for an optical bistable ring cavity: Analysis
Abstract
The transverse behavior of a laser beam propagating through a bistable optical cavity is investigated analytically and numerically. Numerical experiments that study the (onedimensional) transverse structure of the steady state profile are described. Mathematical descriptions of (i) an infinitedimensional map that models the situation, (ii) the solitary waves that represent the transverse steady state structures, (iii) a projection formalism that reduces the infinitedimensional map to a finitedimensional 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 January 1988
 DOI:
 10.1063/1.528136
 Bibcode:
 1988JMP....29...63A