CAUSAL FREQUENCY-LINEAR ATTENUATION ALGORITHM FOR TIME DOMAIN PROBLEMS

Autor:	B. Edward McDonald
Rok vydání:	2009
Předmět:	Acoustics and Ultrasonics Wave propagation Applied Mathematics Attenuation Physics::Geophysics Numerical integration symbols.namesake Quadratic equation Fourier transform symbols Time domain Phase velocity Algorithm Numerical stability Mathematics
Zdroj:	Journal of Computational Acoustics. 17:357-364
ISSN:	1793-6489 0218-396X
DOI:	10.1142/s0218396x09003987
Popis:	Attenuation which is linear in frequency (as opposed to quadratic as for laminar viscosity) occurs in porous media wave propagation and biomedical applications. Straightforward use of Fourier transforms for frequency-linear attenuation violates causality. We give a causal time domain algorithm with numerical stability criteria and verify its accuracy. For acoustic wave propagation in ocean sediment, the algorithm results in a mild increase of phase speed with frequency as a result of the Kramers–Kronig relation. The algorithm gives results in good agreement with in situ data for sandy sediment.
Databáze:	OpenAIRE
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