Guided waves in bounded media with random gross inhomogeneities
- 1 January 1967
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 15 (1) , 70-75
- https://doi.org/10.1109/tap.1967.1138849
Abstract
A formalism to deal with propagation in waveguides containing media with statistically inhomogeneous, random, gross inhomogeneities over a finite axial range is proposed. Statistics of the propagating fields are obtained in terms of those of the medium through an iterative perturbation technique which does not use expansion in a small parameter. A modal expansion, with a nonlinear phase progression term in the exponent of the axial dependence of the incident mode, is utilized and permits the direct calculation of all desired field statistics from the formal perturbation expressions for the modal amplitudes and phase progression. Examples are presented to show that many quantities of interest, involving mode coupling and transmission and reflection parameter., may straightforwardly be determined through this procedure. Some prevalent notions concerning the significance of the mean wave are discussed.Keywords
This publication has 3 references indexed in Scilit:
- Perturbation analysis of axially nonuniform electromagnetic structures using nonlinear phase progression.IEEE Transactions on Antennas and Propagation, 1967
- Electromagnetic propagating structures with nonuniform gross perturbationsIEEE Transactions on Antennas and Propagation, 1967
- Stochastic equations and wave propagation in random mediaProceedings of Symposia in Applied Mathematics, 1964