INTEGRAL EQUATIONS FOR ELECTROMAGNETIC FIELDS IN ANISOTROPIC INHOMOGENEOUS MEDIA,
Abstract
Electromagnetic fields are investigated in an inhomogeneous anisotropic media, or ''generalized Tellegen's'' media. To begin with some lemmas and theorems are given. Using these results, general representations of the fields and integral equations for the fields are derived for three cases of two media problems. The results are shown to be true for general many media problems. It is also shown that the solutions of the integral equations are equivalent to the fields in general media. These integral equations are three dimensional singular equations of Cauchy type kernel for which it is still an open question how to solve them rigorously and generally. Kernels of these integral equations are found to have tight connections with the tensor Green function which was introduced by Levine and Schwinger. The abstract operator method of Marcuvitz is studied in connection with these integral equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0420345
Entities
People
- Yoshio Hayashi
Organizations
- University of Wisconsin–Madison