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Electromagnetic Surface-Wave Propagation Along a Dielectric Cylinder of Elliptical Cross Section

Yeh, Cavour W. H. (1962) Electromagnetic Surface-Wave Propagation Along a Dielectric Cylinder of Elliptical Cross Section. Caltech Antenna Laboratory Technical Report, 27. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200224-123728075

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Abstract

The problem of electromagnetic wave propagation along a dielectric rod of elliptical cross section is considered. The field components and the dispersion relations of the principal modes are obtained. The principal modes degenerate to the well known HE_(mn) modes of the circular dielectric rod as the eccentricity of the elliptical rod approaches zero. It is found that there are two non-degenerate principal modes which possess no cut off frequencies. They are called the dominant principal modes. In contrast to the case of a circular dielectric rod, the boundary conditions for the elliptical rod cannot be satisfied by using a single product term consisting of a radial and a periodic Mathieu function of a specific order to describe the field components in both regions (the region inside the rod and the region outside the rod). It is generally believed that an infinite series of such product terms must be used to describe the field components in both regions. In the present investigation, it is shown that the boundary conditions may be fulfilled if the field components in one of the two regions are represented by a single product term consisting of a radial and a periodic Mathieu function of a specific order. The field components in the other region are then represented by an infinite series of such product terms. The problem is therefore sufficiently simplified to permit analysis. The propagation characteristics (the propagation constant, the field distribution and the attenuation constant) of the dominant principal modes are given theoretically and experimentally. It is found that the analytic and experimental results are in very good agreement. The Q's of a dielectric rod cavity resonator supporting the dominant principal modes are also given.


Item Type:Report or Paper (Technical Report)
Additional Information:This research was supported by the U.S. Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command under Contract AF18(600)-1113. The author wishes to express his sincere thanks and indebtedness to Professor C. H. Papas for his helpful advice, his stimulating criticisms and his encouragement throughout all phases of this investigation. The author is also grateful to Professor R. W. Gould, Professor R. V. Langmuir and Professor N. George for many stimulating and informative discussions. Thanks are also extended to Mrs. Ruth Stratton who read and prepared the manuscript. The author acknowledges the Western Data Processing Center at the University of California at Los Angeles for the use of the computing facilities
Group:Caltech Antenna Laboratory
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)AF18(600)-1113
Series Name:Caltech Antenna Laboratory Technical Report
Issue or Number:27
DOI:10.7907/KGR9-MT92
Record Number:CaltechAUTHORS:20200224-123728075
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200224-123728075
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101494
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:24 Feb 2020 20:58
Last Modified:29 Feb 2020 00:58

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