Construction of time-frequency distributions for fields

Leon Cohen

doi:10.1117/12.801359

9 September 2008 Construction of time-frequency distributions for fields

Leon Cohen

Proceedings Volume 7074, Advanced Signal Processing Algorithms, Architectures, and Implementations XVIII; 70740O (2008) https://doi.org/10.1117/12.801359
Event: Optical Engineering + Applications, 2008, San Diego, California, United States

Abstract

We discuss the application of phase space distributions, such as the Wigner distribution, to study wave propagation in a dispersive medium. We show how the classical and quantum methods for particle motion can be applied to the solution of the wave equation. We derive an explicit evolution equation for the Wigner distribution and discuss a number of methods to solve it. We also discuss the application of phase space distributions to the evolution of noise fields in a dispersive medium.

Citation Download Citation

Leon Cohen "Construction of time-frequency distributions for fields", Proc. SPIE 7074, Advanced Signal Processing Algorithms, Architectures, and Implementations XVIII, 70740O (9 September 2008); https://doi.org/10.1117/12.801359

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