Wave propagation through longitudinally and transversally inhomogeneous slabs-I
The problem of steady-state wave propagation of a scalar wave through a slab which is inhomogeneous in both longitudinal and transverse directions is described by the two-dimensional reduced wave equation. By Fourier transforming the transverse component, the problem is reduced to a two-point boundary-value problem, which in turn is reduced to a Cauchy system (initial-value problem). A technique is given for handling Dirac delta-functions occurring in the Cauchy system which separates out plane-wave and diffractive effects. Integration of the Cauchy system appears to be feasible, and will give results for various slab thicknesses and angles of incidence of the incident wave vector. Reflection and transmission functions are defined which exhibit interesting reciprocity relations between incident and emergent wave vectors.
- Research Organization:
- University of Southern California, Los Angeles (USA). Dept. of Electrical Engineering
- DOE Contract Number:
- AT03-76ER70019
- OSTI ID:
- 6315478
- Report Number(s):
- DOE/ER/70019-T9; ON: DE81026100
- Country of Publication:
- United States
- Language:
- English
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