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A unified optical theorem for scalar and vectorial wave fields.
1Department of Geoscience and Engineering, Delft University of Technology, PO Box 5048, 2600 GA Delft, The Netherlands. c.p.a.wapenaar@tudelft.nl
The Journal of the Acoustical Society of America
|May 8, 2012
Summary
A unified optical theorem is presented, unifying scalar and vectorial wave phenomena. This generalized theorem also applies to anisotropic elastic, piezoelectric, and bianisotropic electromagnetic scatterers.
Area of Science:
- Physics
- Electromagnetism
- Acoustics
Background:
- The generalized optical theorem relates scattering amplitude to physical properties.
- Existing theorems are specific to scalar or vectorial wave phenomena.
- Separate derivations exist for different wave types and materials.
Purpose of the Study:
- To derive a unified optical theorem.
- To encompass existing scalar and vectorial wave theorems.
- To extend the theorem's applicability to diverse scattering objects.
Main Methods:
- Integral relation derivation.
- Unification of separate scalar and vectorial wave theorems.
- Extension to anisotropic and bianisotropic scattering.
Main Results:
- A single, unified optical theorem is established.
- The theorem integrates previous scalar and vectorial versions.
- The unified theorem is valid for anisotropic elastic, piezoelectric, and bianisotropic EM scatterers.
Conclusions:
- The derived unified optical theorem provides a comprehensive framework.
- This unification simplifies the theoretical treatment of scattering phenomena.
- The extended applicability broadens the theorem's use in various scientific fields.
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