26 March 2001 Local particle view of a propagating pulse
Author Affiliations +
We present exact results for pulse propagation in a dispersive medium, including the contraction and spreading of the pulse, the covariance between position and wave number and other relevant physical quantities. An analogy is made, both physical and mathematical, describing wave propagation as a collection of particles whose motion is simple. We show that wave motion governed by linear wave equations can be mimicked by particles that move with a constant velocity, but where the velocity is a function of the original position of the particles. Using this picture one can understand the behavior of waves in a simple manner. We also develop the same viewpoint from the perspective of the Wigner distribution. 7
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Leon Cohen, "Local particle view of a propagating pulse", Proc. SPIE 4391, Wavelet Applications VIII, (26 March 2001); doi: 10.1117/12.421203; https://doi.org/10.1117/12.421203


Numerical simulation of optically trapped particles
Proceedings of SPIE (July 17 2014)
Effect of ground variability on clutter and false alarm in...
Proceedings of SPIE (September 21 2004)
Wigner distribution and pulse propagation
Proceedings of SPIE (November 20 2001)
Construction of time-frequency distributions for fields
Proceedings of SPIE (September 09 2008)
Integral treatment of teaching waves
Proceedings of SPIE (June 16 2000)

Back to Top