Accession Number : AD0882040

Title :   K-Space Formulation of the Electromagnetic Scattering Problem.

Descriptive Note : Final rept. 1 Dec 69-31 May 70,

Corporate Author : BOJARSKI (NORBERT N) NEWPORT BEACH CA

Personal Author(s) : Bojarski, Norbert N.

Report Date : MAR 1971

Pagination or Media Count : 216

Abstract : The Electromagnetic Scattering problem is solved by means of a k-space formulation of the Electromagnetic Field equations, thereby replacing the conventional integral equation formulation of the scattering problem by a set of two algebraic equations in two unknowns in two spaces (the constitutive equation being an algebraic equation in x-space). These equations are solved by an iterative method executed with the aid of Fast Fourier Transform (FFT) algorithm connecting the two spaces, requiring very simple zero order initial approximations. Since algebraic and FFT equations are used, the number of arithmetic multiply-add operations and storage allocations required for a numerical solution is reduced from the order of N squared (for solving the matrix equations resulting from the conventional integral equations) to the order of N log(sub 2)N (where N is the number of data points required for the specification of the scatterer). The advantage gained in speed and storage is thus of the order of N/log(sub 2)N and N respectively. This method is thus considerably more efficient, and permits exact numerical solutions for much larger scatterers, than possible with the conventional matrix method. (Author)

Descriptors :   (*ELECTROMAGNETIC RADIATION, SCATTERING), ELECTROMAGNETIC FIELDS, INTEGRAL TRANSFORMS, INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), ITERATIONS, NUMERICAL ANALYSIS, RADAR CROSS SECTIONS.

Subject Categories : Active & Passive Radar Detection & Equipment
      Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE