Exact Solution of the Problem of Quasi-Static Electric Field Penetration into a Hemispherical Indentation in an Infinite Conducting Plane.
Abstract
The problem of the penetration of a quasi-static electric field into a hemispherical indentation in an infinite conducting plane is solved exactly. The results are directly applicable to the study of a large class of aircraft antennas; for example, the marker beacon antenna. The solution is obtained by an inversion transformation on the known solution for the problem of a conducting right-angled wedge excited by an electric dipole. A closed form for the electrostatic potential is derived. The value of the potential, the electric surface charge density, the induced dipole moment of the cavity, and the averaged electric field over the length of a thinwire stub antenna erected from the cavity bottom are calculated. It is found that the penetration electric field strength at the cavity bottom is about 10 percent of that of the external field, while the averaged field on the symmetry axis varies from 10 to 28 percent.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1975
- Accession Number
- ADA013850
Entities
People
- John Lam