Document Type

Article

Publication Date

1980

DOI

10.1016/0022-247x(80)90165-1

Publication Title

Journal of Mathematical Analysis and Applications

Volume

78

Issue

2

Pages

531-573

Abstract

Let B be a body in R3, and let S denote the boundary of B. The surface S is described by S = {(x, y, z): (x2 + Y2)½= ƒ(z), -1≤ z ≤ I}, where ƒ analytic function that is real and positive on (-1, 1) and ƒ(±1) = 0. An algorithm is described for computing the scattered field due to a plane wave incident field, under Leontovich boundary conditions. The Galerkin method of solution used here leads to a block diagonal matrix involving 2M + 1 blocks, each block being of order 2(2N + 1). If, e.g., N = O(M2), the computed scattered field is accurate to within an error bounded by Ce-cN1 2 depending only on ƒ.

Comments

Elsevier open archive. Copyright © 1980 Published by Elsevier Inc. All rights reserved.

Original Publication Citation

Stenger, F., Hagmann, M., & Schwing, J. (1980). An algorithm for the electromagnetic scattering due to an axially symmetric body with an impedance boundary condition. Journal of Mathematical Analysis and Applications, 78(2), 531-573. doi:10.1016/0022-247x(80)90165-1

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