Diffraction,Interference, and Depolarization of Elastic Waves. Caustic and Penumbra |
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| Authors: | A. P. Kiselev V. O. Yarovoy E. A. Vsemirnova |
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| Affiliation: | (1) St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia;(2) Institute of Engineering Problems Russian Academy of Sciences, St. Petersburg, Russia;(3) St. Petersburg University of Aerocosmic Instrument-Making Industry, St. Petersburg, Russia |
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| Abstract: | A theoretical study of polarization-spectral anomalies of wave fields, or their deviations from the predictions based on simple plane-wave models, is presented. A simple unified method of numerical simulation of anomalies of nonstationary wave fields near a caustic and in the penumbra is described. It uses both the leading and correcting terms in asymptotic expansions. Examples of calculation of displacements and average polarization ellipses are given. Qualitative properties of wave fields are discussed. A review of earlier research on polarization anomalies of elastic waves is given. Bibliography: 38 titles.Dedicated to L. A. Molotkov on the occasion of his 70th birthday__________Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 297, 2003, pp. 136–153. |
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