TY - JOUR

T1 - Recursive algorithm for wave-scattering solutions using windowed addition theorem

AU - Chew, W. C.

AU - Wang, Y. M.

AU - Gürel, L.

N1 - Funding Information:
This work was supported by the National Science Foundation under grant NSF ECS-85-25891, Office of Naval Research under grant N00014-89-J1286, and the Army Research Office under contract DAAL03-87-K0006 to the University of Illinois Advanced Construction Technology Center. The computer time was provided by the National Center for Supercomputing Applications (NCSA) at the University of Illinois, Urbana-Champaign. The Editor thanks K. A. Michalski, Reviewer for reviewing the paper.

PY - 1992

Y1 - 1992

N2 - A review of a recursive algorithm with a more succinct derivation is first presented. This algorithm, which calculates the scattering solution from an inhomogeneous body, first divides the body into N subscatterers. The algorithm then uses an aggregate T matrix and translation formulas to solve for the solution of n+l subscatterers from the solution for n subscatterers. This recursive algorithm has reduced computational complexity. Moreover, the memory requirement is proportional to the number of unknowns. This algorithm has been used successfully to solve for the volume scattering solution of two-dimensional scatterers for Ez-polarized waves. However, for Hz-polarized waves, a straightforward application of the recursive algorithm yields unsatisfactory solutions due to the violation of the restricted regime of the addition theorem. But by windowing the addition theorem, the restricted regime of validity is extended. Consequently, the recursive algorithm with the windowed addition theorem works well even for Hz-polarized waves.

AB - A review of a recursive algorithm with a more succinct derivation is first presented. This algorithm, which calculates the scattering solution from an inhomogeneous body, first divides the body into N subscatterers. The algorithm then uses an aggregate T matrix and translation formulas to solve for the solution of n+l subscatterers from the solution for n subscatterers. This recursive algorithm has reduced computational complexity. Moreover, the memory requirement is proportional to the number of unknowns. This algorithm has been used successfully to solve for the volume scattering solution of two-dimensional scatterers for Ez-polarized waves. However, for Hz-polarized waves, a straightforward application of the recursive algorithm yields unsatisfactory solutions due to the violation of the restricted regime of the addition theorem. But by windowing the addition theorem, the restricted regime of validity is extended. Consequently, the recursive algorithm with the windowed addition theorem works well even for Hz-polarized waves.

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U2 - 10.1163/156939392X00058

DO - 10.1163/156939392X00058

M3 - Article

AN - SCOPUS:0042354023

VL - 6

SP - 1537

EP - 1560

JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

SN - 0920-5071

IS - 11

ER -