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.