Fast convolution with the free space Helmholtz Green’s function

2009 ◽  
Vol 228 (8) ◽  
pp. 2770-2791 ◽  
Author(s):  
Gregory Beylkin ◽  
Christopher Kurcz ◽  
Lucas Monzón
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Free Space ◽  
Fast Convolution

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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