Discontinuities of the Green’s function of a mixed problem for the wave equation

1965 ◽  
pp. 131-156 ◽  
Author(s):  
A. Ja. and Suharevskiĭ Povzner
Keyword(s):  
Wave Equation ◽  
Green’S Function ◽  
Mixed Problem ◽  
Green's Function

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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