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**Harvard**

Boström, A. (1982) *Time-dependent scattering by a bounded obstacle in three dimensions*.

** BibTeX **

@article{

Boström1982,

author={Boström, Anders},

title={Time-dependent scattering by a bounded obstacle in three dimensions},

journal={Journal of Mathematical Physics},

issn={0022-2488},

volume={23},

pages={1444-1450},

abstract={In the present paper we introduce a new method of treating the scattering of transient fields by a bounded obstacle in three dimensions. The method is a generalization to the time domain of the null field approach first given by Waterman. We define new sets of time-dependent basis functions, and use these to expand the free space Green's function and the incoming and scattered fields. The sacttering problem is then reduced to the problem of solving a system of ordinary differential equations. One way of solving these equations is by means of Fourier transformation, and this leads to an efficient way of obtaining the natural frequencies of the obstacle. Finally, we have computed the natural frequencies numerically for both a spheroid and a peanut-shaped obstacle for various ratios of the axes.},

year={1982},

keywords={scattering, time-dependent, bounded obstacle},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 189914

A1 Boström, Anders

T1 Time-dependent scattering by a bounded obstacle in three dimensions

YR 1982

JF Journal of Mathematical Physics

SN 0022-2488

VO 23

SP 1444

OP 1450

AB In the present paper we introduce a new method of treating the scattering of transient fields by a bounded obstacle in three dimensions. The method is a generalization to the time domain of the null field approach first given by Waterman. We define new sets of time-dependent basis functions, and use these to expand the free space Green's function and the incoming and scattered fields. The sacttering problem is then reduced to the problem of solving a system of ordinary differential equations. One way of solving these equations is by means of Fourier transformation, and this leads to an efficient way of obtaining the natural frequencies of the obstacle. Finally, we have computed the natural frequencies numerically for both a spheroid and a peanut-shaped obstacle for various ratios of the axes.

LA eng

DO 10.1063/1.525536

LK http://dx.doi.org/10.1063/1.525536

OL 30