K-Space Formulation of the Electromagnetic Scattering Problem.
Final rept. 1 Dec 69-31 May 70,
BOJARSKI (NORBERT N) NEWPORT BEACH CA
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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 logsub 2N 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 Nlogsub 2N 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
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