UDC 517, 519.642, 535.4, 621.372.8

 INTRODUCTION TO THE ANALYSIS OF THE BIFURCATION PHENOMENA IN AN OPTICAL WAVEGUIDE WITH

STATISTIC IRREGULARITIES

Alexandre A. Egorov
A.M. Prokhorov’ General Physics Institute of the Russian Academy of Sciences

 

Received: September 18, 2013

 

Abstract: The theoretical principles of a new method of a research of irregular multimode optical waveguides as nonlinear dynamic dissipative systems are presented. The scattering of a guided mode is considered as process of gradual transition of some dynamic dissipative system from an “ordered” state in a state of “chaos”. The growth of losses on scattering in an irregular integrated-optical waveguide is considered as increase of chaos in a system. As a managing parameter of process the factor of phase slowing down of a waveguide is used.

Keywords: optical waveguide, guided and radiation modes, statistical irregularities, waveguide scattering, nonlinear equation, bifurcation phenomena nonlinear dynamic system, dissipative system, numerical simulation.