Accession Number:

AD0257186

Title:

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

Descriptive Note:

Corporate Author:

MICHIGAN UNIV ANN ARBOR RADIATION LAB

Personal Author(s):

Report Date:

1960-12-31

Pagination or Media Count:

1.0

Abstract:

The application of non-linear modeling to Maxwells 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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE