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Diffraction of a Trapped Wave by a Semi-Infinite Metallic Sheet

Weill, Georges G. (1956) Diffraction of a Trapped Wave by a Semi-Infinite Metallic Sheet. Caltech Antenna Laboratory Technical Report, 7. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20190916-155611684

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Abstract

[Figure 1; see abstract in PDF for details]. It is a well-known fact that dielectric coated infinite metallic structures such as planes and wires can propagate "surface modes". We are here chiefly concerned with a two-dimensional case. There is no theoretical difficulty in extending our solution to three-dimensional structures. We are dealing here with a grounded dielectric slab of permittivity ε and thickness a. (The case in which the electric wall is replaced by a magnetic one involves only slight modifications.) The half-space over the slab is a dielectric of permittivity 1. E modes and H modes can propagate in the slab. They are the so- called "trapped waves". The number of modes is connected with ε and a. As an example of the treatment of the general case, we shall suppose that a is small enough to propagate only one E mode. Extension to the H case or to the multimode case is obvious. We then suppose (see Fig. 1) that only one mode is propagating, coming from z = +∞. This trapped wave will be diffracted by a semi infinite metallic sheet of zero thickness, which lies on x = d , z < 0. We are mainly interested in reflection and transmission coefficients for the trapped modes, the radiated power, and the far-field pattern.


Item Type:Report or Paper (Technical Report)
Additional Information:A Technical Report to the Air Force Office of Scientific Research, prepared for Contract No. AF 18(600)-1113. The author wishes to express his appreciation to Professor A. Erdelyi for many helpful suggestions. He is greatly indebted to Professor C. H. Papas and to Dr. Z. A. Kaprielian for many useful discussions.
Group:Caltech Antenna Laboratory
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)AF 18(600)-1113
Series Name:Caltech Antenna Laboratory Technical Report
Issue or Number:7
DOI:10.7907/FJ71-PA72
Record Number:CaltechAUTHORS:20190916-155611684
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190916-155611684
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98667
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:16 Sep 2019 23:20
Last Modified:03 Oct 2019 21:43

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