Title :
Low-order modes of two-scale nonuniform waveguide
Author :
Novikova, I.O. ; Popov, A.V.
Abstract :
It is well known that the waves of the lowest orders in an nonuniform waveguide can be described by the parabolic equation if the following conditions are fulfilled: κ=kB≫1, v=B/L≫1, κv=σ=kB 2/L~1. Here k=2π/λ is the wave number, B is the characteristic width of the longitudinal nonuniformity. Here, it is implied the range D to be of the order of L. The authors derive an approximate description of lower-order modes of a two-scale nonuniform waveguide. They are submitted to a parabolic equation containing an additional term that gives an integral correction to the wave phase of the order 1/v at great distances X~D. This correction determined by the condition of removing secular (growing in X) terms in the asymptotic expansion can be evaluated by two-scale perturbation theory
Conference_Titel :
Antennas and Propagation, 1993., Eighth International Conference on
Conference_Location :
Edinburgh
Print_ISBN :
0-85296-572-9