Efficient calculation of the 3-D rectangular waveguide green’s functions derivatives by the ewald method
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Huéscar de la Cruz, Antonio Manuel; Gómez Molina, Celia; Quesada Pereira, Fernando Daniel; Álvarez Melcón , Alejandro; Boria Esbert, Vicente EnriqueGrupo de investigación
Grupo de Electromagnetismo Aplicado a las Telecomunicaciones (GEAT)Área de conocimiento
Ingeniería EléctricaFecha de publicación
2023-12-01Editorial
IEEECita bibliográfica
A. M. H. de la Cruz, C. G. Molina, F. D. Quesada Pereira, A. Á. Melcón and V. E. B. Esbert, "Efficient Calculation of the 3-D Rectangular Waveguide Green’s Functions Derivatives by the Ewald Method," in IEEE Transactions on Microwave Theory and Techniques, vol. 71, no. 12, pp. 5171-5181, Dec. 2023, doi: 10.1109/TMTT.2023.3276445.Revisión por pares
siPalabras clave
Electric field evaluationEwald method
Green’s function
Integral equation
Rectangular waveguide
Splitting parameter (E)
Resumen
In this contribution, the Ewald method has efficiently
been applied to accelerate the computation of the rectangular waveguide Green’s functions derivatives. Based on previous works, we have outlined new approximation formulae that avoid
the evaluation of computationally expensive complementary error
functions of complex argument, needed by the Ewald method.
This is possible when the internal medium of the rectangular
waveguide is homogeneous and lossless. On the other hand,
different convergence numerical studies have been carried out,
showing a similar convergence rate for computing the original
Green’s functions and their derivatives. Moreover, we have
checked that the computational time is only slightly increased
for obtaining the derivatives as compared to the original Green’s
functions, after the application of these new techniques. The new
derived expressions are useful for the evaluation of electromagnetic
fields, the characterization of dielectric materials and ...
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