
Accession Number : AD0257186
Title : STUDIES IN RADAR CROSS SECTIONS. XLV. STUDIES IN NONLINEAR 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 nonlinear modeling to Maxwell's equations and to the NavierStokes equation was investigated to obtain an understanding of the phenomena of the interaction of electromagnetic energy with plasmas. A discussion of the generality of nonlinear modeling is presented which displays that all second order ordinary differential equations arising from a conservative system can be locally modeled in a nonlinear manner. Also included is a discussion of the problem of modeling the scalar wave equation in ndimensions and a preliminary consideration of the effect of experimental errors on the applicability of nonlinear 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