Wavefront propagation in discrete random media via stochastic huygens' minor principle
✍ Scribed by M. Ostoja-Starzewski
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 774 KB
- Volume
- 326
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
A stochastic theory is presentedfor the propagation of wavefronts in spatially random media. The study is limited to a class ef media that may be modeled, in a twodimensional setting, as ensembles qf convex polygons (grains) of random ph)lsical und geometrical properties. The wawfront is considered to be a pulse spreud over a domain q/ ,jinite thickness. Special attention is given to modelling any point of' this pulse, called disturbance. The dynamics of the disturbance is governed by two processes-ray kinematics and amplitude modulation-both of which are Markor? ; their semi-group property represents the stochastic Huygens' minor principle. This approach permits the inclusion of microscale deterministic and random phenomena in an analysis qf wawfront behavior, e.g. waveflont decay, broadening, random arrival times, in heterogeneous media