An Analytical Expression for 3-D Dyadic FDTD-Compatible Green's Function in Infinite Free Space via z-Transform and Partial Difference Operators

2011 ◽  
Vol 59 (4) ◽  
pp. 1347-1355 ◽  
Author(s):  
Shyh-Kang Jeng
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Free Space ◽  
Difference Operators ◽  
Partial Difference ◽  
Analytical Expression

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.

Green’s Functions of Spin and Electromagnetic Waves in the Sinusoidal Superlattice

2015 ◽  
Vol 233-234 ◽  
pp. 47-50 ◽  
Author(s):  
Valter A. Ignatchenko ◽  
Denis S. Tsikalov
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Continued Fractions ◽  
Fourier Transformation ◽  
Electromagnetic Waves ◽  
Green's Functions ◽  
Spectral Representation ◽  
Green’S Functions ◽  
Analytical Expression

The problem of finding the Green's function of spin and electromagnetic waves in the sinusoidal superlattice is considered. An analytical expression for the spectral representation of the Green's function has been found in the form of ascending continued fractions, the particular denominators of which are ordinary continued fractions. The Green’s function in the-space has been found by the numerical Fourier transformation of the Greens’s function found in the spectral representation.

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