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Dynamics of classical wave scattering by small obstacles.
G E Bauer1, M S Ferreira, C P Wapenaar
1Theoretical Physics Group, Department of Applied Physics and Delft Institute of Microelectronics and Submicron Technology, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands.
Physical Review Letters
|September 5, 2001
Summary
This study addresses causality issues in wave scattering from point scatterers. An alternative model yields clear expressions for the Green function in disordered media.
Area of Science:
- Physics
- Wave Phenomena
- Quantum Mechanics
Background:
- Classical wave scattering from point scatterers presents causality challenges.
- Existing models may not fully capture time-dependent scattering behavior.
Purpose of the Study:
- To identify and analyze causality problems in time-dependent wave scattering.
- To develop an alternative model for improved scattering analysis.
- To derive transparent expressions for the Green function in disordered media.
Main Methods:
- Analysis of causality in time-dependent scattering.
- Development of an alternative scattering model.
- Application of the leading pole approximation to the scattering matrix of a square-well potential.
Main Results:
- A causality problem in time-dependent scattering is identified and analyzed.
- Transparent expressions for the time- and position-dependent Green function are derived.
- The leading pole approximation of the scattering matrix is utilized.
Conclusions:
- The alternative model provides a framework to address causality issues.
- Derived Green function expressions offer insights into wave propagation in disordered media.
- The findings contribute to a better understanding of wave scattering phenomena.
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