Matrix methods in reflection and transmission of compressional waves by stratified media
作者:
John Lekner,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1990)
卷期:
Volume 87,
issue 6
页码: 2319-2324
ISSN:0001-4966
年代: 1990
DOI:10.1121/1.399077
出版商: Acoustical Society of America
关键词: STRATIFICATION;COMPRESSIONAL WAVES;MATRIX ELEMENTS;REFLECTION;TRANSMISSION;ACCURACY;LAYERED MATERIALS;SOUND VELOCITY
数据来源: AIP
摘要:
The techniques used in optics and microwave and radio physics for the easy and efficient calculation of reflection and transmission by stratified media are adapted to acoustic compressional waves. The method involves taking the product ofN2×2 matrices when the stratification is approximated byNlayers. These layers can be chosen to have linear variation in the acoustic parameters to best represent the actual stratification without undue complexity in the resulting matrix elements. It is possible to guarantee unimodularity of the matrices, thus making sure that energy conservation and a reciprocity law are automatically satisfied. Accuracy is tested against an exactly solvable model stratification, in which the density and speed of sound both vary exponentially with depth.
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