Physics
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phdt........49w&link_type=abstract
Ph.D. Thesis California Univ., San Diego.
Physics
Forward Scattering, Random Processes, Statistical Correlation, Wave Propagation, Wave Scattering, Asymptotic Series, Field Theory (Physics), Perturbation Theory, Power Series, Power Spectra
Scientific paper
Many statistical aspects of the propagation of waves in random media are addressed. The main focus is on the strong forward scattering cases where the root-mean-square (rms) multiple scattering angle is small, yet the cumulative effects on intensity fluctuations are large. Also, both the propagation distance and the typical medium correlation length are much larger than the wave length. Under such conditions, the entire problem is formulated in terms of path integral which is a powerful tool for both analytic and numerical purposes. There are four main parts in this dissertation. The first part includes a systematic generalization of the existing first-order asymptotic theory. In the second part, a new perturbation scheme is developed for media with power-law spectrum. The third part establishes a more general formalism for multi-point statistics. The final part studies the analytical method of computing the frequency correlations for waves in a power-law medium. A perturbation scheme developed in field theory turns out to fit into this calculation very well.
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