Accession Number : AD0257186

Title :   STUDIES IN RADAR CROSS SECTIONS. XLV. STUDIES IN NON-LINEAR MODELING. - II

Corporate Author : MICHIGAN UNIV ANN ARBOR RADIATION LAB

Personal Author(s) : BELYEA,J.E. ; CRISPIN,J.W. JR.

Report Date : 31 DEC 1960

Pagination or Media Count : 1

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)

Descriptors :   *ELECTROMAGNETISM, *NONLINEAR DIFFERENTIAL EQUATIONS, *PARTIAL DIFFERENTIAL EQUATIONS, *PLASMAS(PHYSICS), *RADAR CROSS SECTIONS, CYLINDRICAL BODIES, ELECTROMAGNETIC FIELDS, ELECTROMAGNETIC RADIATION, MATHEMATICAL ANALYSIS, NONLINEAR SYSTEMS, SCATTERING, SPHERES, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE