Calculations in Mathematica on low-frequency diffraction by a circular disk

J. Boersma, M.J.H. Anthonissen

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

This paper is devoted to the symbolic calculation of the scattering coefficient in diffraction by a circular disk, by the use of Mathematica. Three diffraction problems are considered: scalar diffraction by an acoustically soft disk, scalar diffraction by an acoustically hard disk, and electromagnetic diffraction by a perfectly conducting disk. In the low-frequency approximation, the solutions of these problems are in the form of expansions in powers of ka, where a is the radius of the disk and k is the wave number. The emphasis is on the low-frequency expansion for the scattering coefficient, of which several terms are determined exactly with the help of Mathematica.
Original languageEnglish
Pages (from-to)47-56
JournalApplied Computational Electromagnetics Society Journal
Volume11
Issue number1
Publication statusPublished - 1996

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