Evaluating the Helmholtz Integral. Part I. Basic Theory.
Abstract
In the Kirchhoff theory of physical optics the field scattered by a reflecting surface is represented by a Helmholtz integral, which is a certain double integral evaluated over the surface. New results are presented which show how the Helmholtz integral has a closed form representation as a line integral evaluated over the boundary of the surface. Also, in the standard far-field approximation to the Helmholtz integral, the scattered field can be represented in a form which does not involve any integrations at all. These results are very attractive from the standpoint of economy of calculation and appear to be well suited to the problem of estimating the field scattered by a large number of metallic plates, especially when the effects of multiple scatterings are of concern. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 21, 1974
- Accession Number
- AD0785013
Entities
People
- William B. Gordon
Organizations
- United States Naval Research Laboratory