Abstract

Oblate and prolate metallic spheroids located at the interface between isorefractive half-spaces are considered. The electromagnetic fields produced by electric and magnetic dipoles located on the symmetry axis of the structure are determined exactly. Particular cases are discussed, and numerical results are presented for far fields and surface currents.

Highlights

  • S EVERAL boundary-value problems involving metallic structures, sometimes comprising sharp edges and cavities, and isorefractive media have recently been solved exactly in two and three dimensions [1],[2],[3],[4]

  • The exact electromagnetic field is found everywhere, and special attention is devoted to the far field and to the current density on the surface of the spheroid

  • Analytical results for a new canonical problem involving a metallic spheroid, two isorefractive media and a dipole source located along the axis of symmetry of revolution were obtained

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Summary

INTRODUCTION

S EVERAL boundary-value problems involving metallic structures, sometimes comprising sharp edges and cavities, and isorefractive media have recently been solved exactly in two and three dimensions [1],[2],[3],[4]. The excellent numerical agreements obtained establish the exact solutions as important benchmarks for the validation of frequency-domain computer codes. Additional exact solutions are obtained for metallic oblate and prolate spheroids whose axis of symmetry is perpendicular to the planar interface that separates two isorefractive half-spaces and contains the center of symmetry of the spheroid. The exact electromagnetic field is found everywhere, and special attention is devoted to the far field and to the current density on the surface of the spheroid. The cases of the oblate and prolate spheroids are analyzed in Sections III and IV, respectively. A detailed discussion of some practical applications of the results obtained in this paper is carried out in Section VII, where problems such as the buoy antenna and the groundstake antenna are briefly examined

GEOMETRY OF THE PROBLEM
Electric Dipole Source
Magnetic Dipole Source
THE PROLATE SPHEROID
PARTICULAR CASES
NUMERICAL RESULTS
DISCUSSION AND CONCLUSION
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