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J Acoust Soc Am. 2006 Jan;119(1):31-2. doi: 10.1121/1.2139071.

Alternate proof of the optical theorem for impenetrable targets.

The Journal of the Acoustical Society of America

G A Kriegsmann

Affiliations

  1. Department of Mathematical Sciences, Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, University Heights, Newark, New Jersey 07102, USA.

PMID: 16454259 DOI: 10.1121/1.2139071

Abstract

The optical theorem is proven for impenetrable targets without using the method of stationary phase. The proof depends upon the divergence theorem, the Helmholtz representation of the scattered field, and the law of cosines.

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