Scattering of Light by a Single Imperfection Core in a Waveguide System

摘要

An asymptotic expansion of the amplitude of the scattered wave by an imperfection core in a waveguide system is derived and it is shown that the scattered wave is partially canceled by the direct wave at large distance and a shadow takes place. For z → where z is the distance along the waveguide axis the amplitudes of the direct and scattered waves decrease in proportion to z~(-1/2) and in the shadow region the amplitude of the sum of both waves decreases in proportion to z~(-3/2). To supplement the analytical results some numerical examples are shown.