STUDIES IN RADAR CROSS SECTIONS. XLV. STUDIES IN NON-LINEAR MODELING. - II
Abstract
The application of non-linear modeling to Maxwell's equations and to the Navier-Stokes equation was investigated to obtain an understanding of the phenomena of the interaction of electromagnetic energy with plasmas. A discussion of the generality of non-linear modeling is presented which displays that all second order ordinary differential equations arising from a conservative system can be locally modeled in a non-linear manner. Also included is a discussion of the problem of modeling the scalar wave equation in n-dimensions and a preliminary consideration of the effect of experimental errors on the applicability of non-linear modeling. The problem of modeling a scalar scattering problem for one geometric configuration into a scalar scattering problem for a second geometric configuration was begun. Two cases were considered; (1) that of modeling a scalar scattering problem for an elliptical cylinder by one for a circular cylinder, and (2) that of modeling prolate spheroid problems into sphere problems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 31, 1960
- Accession Number
- AD0257186
Entities
People
- J.e. Belyea
- J.w. Jr. Crispin
Organizations
- University of Michigan