ELECTROMAGNETIC RADIATION AND HEAT CONDUCTION FIELDS NEAR COAXIAL CONICAL STRUCTURES
Abstract
The effect of a time harmonic electric source ring placed axially symmetric between the walls of a double conical structure of finite slant height is investigated. The bases of the conical structures are spherical caps of radii equal to the slant height. The Green's function for ideally conducting walls is obtained using the normalized eigenfunction expansion theorem. The magnetic and electric components of the induced electromagnetic field are obtained in the form of a single infinite series. The solution is investigated for several special cases, including the finite single cone, semi-finite single cone, semi-infinite double cone, and biconical antenna. The heat conduction problem for the identical geometry is also solved. The solution is obtained by employing the theory of Laplace transformations on the Green's functions for the electric source ring. Two cases, finite and semi-infinite slant heights, present two forms of solutions. Finite slant height yields a double infinite series and semi-infinite slant height a single infinite series.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1969
- Accession Number
- AD0694012
Entities
People
- W. A. Middleton