scholarly journals Approximate analytical time-domain Green's functions for the Caputo fractional wave equation

2016 ◽  
Vol 140 (2) ◽  
pp. 1039-1047 ◽  
Author(s):  
James F. Kelly ◽  
Robert J. McGough
Keyword(s):  
Wave Equation ◽  
Time Domain ◽  
Green's Functions ◽  
Green’S Functions ◽  
Fractional Wave Equation ◽  
Analytical Time

scholarly journals Analytical time-domain Green’s functions for power-law media

2008 ◽  
Vol 124 (5) ◽  
pp. 2861-2872 ◽  
Author(s):  
James F. Kelly ◽  
Robert J. McGough ◽  
Mark M. Meerschaert
Keyword(s):  
Power Law ◽  
Time Domain ◽  
Green's Functions ◽  
Green’S Functions ◽  
Analytical Time

Parabolic Representations of Scattering Green’s Functions

1999 ◽  
Author(s):  
Paul E. Barbone
Keyword(s):  
Asymptotic Expansion ◽  
Wave Equation ◽  
Green’S Function ◽  
Inhomogeneous Medium ◽  
Green's Function ◽  
Free Space ◽  
Green's Functions ◽  
Green’S Functions

Abstract We derive a one-way wave equation representation of the “free space” Green’s function for an inhomogeneous medium. Our representation results from an asymptotic expansion in inverse powers of the wavenumber. Our representation takes account of losses due to scattering in all directions, even though only one-way operators are used.

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