A unified optical theorem for scalar and vectorial wave fields.

J Acoust Soc Am

Department of Geoscience and Engineering, Delft University of Technology, PO Box 5048, 2600 GA Delft, The Netherlands.

Published: May 2012

AI Article Synopsis

  • The generalized optical theorem is an integral relation that describes how an inhomogeneous scattering object interacts with a homogeneous background, focusing on angle-dependent scattering amplitude.
  • This theorem has been independently established for various types of wave phenomena, including scalar and vector waves.
  • A new unified version of the theorem is introduced, applicable not only to scalar and vector waves but also to more complex scattering situations involving anisotropic and bianisotropic materials.

Article Abstract

The generalized optical theorem is an integral relation for the angle-dependent scattering amplitude of an inhomogeneous scattering object embedded in a homogeneous background. It has been derived separately for several scalar and vectorial wave phenomena. Here a unified optical theorem is derived that encompasses the separate versions for scalar and vectorial waves. Moreover, this unified theorem also holds for scattering by anisotropic elastic and piezoelectric scatterers as well as bianisotropic (non-reciprocal) EM scatterers.

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http://dx.doi.org/10.1121/1.3701880DOI Listing

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