scholarly journals A novel technique for the numerical evaluation of the Green's functions associated to cavity backed antennas in circular waveguides

2004 ◽  
Author(s):  
P.V. Castejon ◽  
A.A. Melcon
Keyword(s):  
Numerical Evaluation ◽  
Green's Functions ◽  
Green’S Functions ◽  
Novel Technique ◽  
Circular Waveguides

scholarly journals Choosing splitting parameters and summation limits in the numerical evaluation of 1-D and 2-D periodic Green's functions using the Ewald method

Radio Science ◽  
2008 ◽  
Vol 43 (6) ◽  
pp. n/a-n/a ◽  
Author(s):  
Ferhat T. Celepcikay ◽  
Donald R. Wilton ◽  
David R. Jackson ◽  
Filippo Capolino
Keyword(s):  
Numerical Evaluation ◽  
Green's Functions ◽  
Green’S Functions ◽  
Ewald Method

Numerical evaluation of Green’s functions for axisymmetric boreholes using leaking modes

Geophysics ◽  
1987 ◽  
Vol 52 (8) ◽  
pp. 1099-1105 ◽  
Author(s):  
R. A. W. Haddon
Keyword(s):  
Wave Propagation ◽  
Fourier Transform ◽  
Elastic Wave ◽  
Numerical Evaluation ◽  
Green's Functions ◽  
Green’S Functions ◽  
Complete Solution ◽  
Body Waves ◽  
Complex Frequency ◽  
Residue Theory

By choosing appropriate paths of integration in both the complex frequency (ω) and complex wavenumber (k) planes, exact Green’s functions for elastic wave propagation in axisymmetric boreholes are expressed completely as sums of modes. The integrations with respect to k are performed exactly using Cauchy residue theory. The remaining integrations with respect to ω are then carried out using the fast Fourier transform (FFT). The complete solution, including all possible body waves, is expressed simply as a superposition of modes without any contributions from branch line integrals. There are no spurious arrivals and, provided that the number of points in the FFT can be taken sufficiently large, no restrictions on distance. The method is fast, accurate, and easy to apply.

scholarly journals Numerical Evaluation of the Green's functions for Arbitrarily Shaped Enclosures

2007 ◽  
Author(s):  
J.S. Gomez-Diaz ◽  
M. Martinez-Mendoza ◽  
F.D. Quesada-Pereira ◽  
J. Pascual-Garcia ◽  
F. J. Perez-Soler ◽  
...  
Keyword(s):  
Numerical Evaluation ◽  
Green's Functions ◽  
Green’S Functions
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