scholarly journals Modified Szabo’s wave equation models for lossy media obeying frequency power law

2003 ◽  
Vol 114 (5) ◽  
pp. 2570 ◽  
Author(s):  
W. Chen ◽  
S. Holm
Keyword(s):  
Wave Equation ◽  
Power Law ◽  
Lossy Media ◽  
Frequency Power

scholarly journals Fractional wave equations with attenuation

2013 ◽  
Vol 16 (1) ◽  
Author(s):  
Peter Straka ◽  
Mark Meerschaert ◽  
Robert McGough ◽  
Yuzhen Zhou
Keyword(s):  
Wave Equation ◽  
Power Law ◽  
Weak Solutions ◽  
Wave Equations ◽  
Inhomogeneous Media ◽  
Medical Ultrasound ◽  
Sound Waves ◽  
Fractional Wave Equations

AbstractFractional wave equations with attenuation have been proposed by Caputo [5], Szabo [28], Chen and Holm [7], and Kelly et al. [11]. These equations capture the power-law attenuation with frequency observed in many experimental settings when sound waves travel through inhomogeneous media. In particular, these models are useful for medical ultrasound. This paper develops stochastic solutions and weak solutions to the power law wave equation of Kelly et al. [11].

Improved description of shock wave evolution in media with frequency power law dependent attenuation

2001 ◽  
Vol 109 (5) ◽  
pp. 2263-2265 ◽  
Author(s):  
Kirk D. Wallace ◽  
Mark R. Holland ◽  
James G. Miller
Keyword(s):  
Shock Wave ◽  
Power Law ◽  
Wave Evolution ◽  
Frequency Power
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