An inverse power series for the free-space Green's function

2006 ◽  
Vol 48 (3) ◽  
pp. 467-471
Author(s):  
Stephen Leifer ◽  
Robert J. Burkholder
Keyword(s):  
Power Series ◽  
Green’S Function ◽  
Green's Function ◽  
Free Space ◽  
Inverse Power

Derivation of the Free‐Space Scalar Green's Function

1956 ◽  
Vol 28 (4) ◽  
pp. 723-724
Author(s):  
Donald H. Robey ◽  
Donald H. Potts
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Free Space

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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