An Algorithm for the Electromagnetic Scattering Due to an Axially Symmetric Body with an Impedance Boundary Condition

Authors

F. Stenger
M. Hagmann
J. Scheing, Old Dominion University

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

Repository 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