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Related Experiment Video

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Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

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Published on: January 9, 2017

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.

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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.