Efficient calculation of the 3-D rectangular waveguide green’s functions derivatives by the ewald method
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 erro...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Politécnica de Cartagena(UPCT) |
| Repositorio: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/12903 |
| Acceso en línea: | http://hdl.handle.net/10317/12903 https://ieeexplore.ieee.org/document/10133895 |
| Access Level: | acceso abierto |
| Palabra clave: | Electric field evaluation Ewald method Green’s function Integral equation Rectangular waveguide Splitting parameter (E) Ingeniería Eléctrica 33 Ciencias Tecnológicas |
| Sumario: | 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 step discontinuities between rectangular waveguides, and the analysis of rectangular cavities using integral equation formulations. For validation, the electric field produced by a surface electric current density with a rectangular pulse distribution has been evaluated, using the new proposed expressions. These results have been compared to simulations provided by a full-wave finite elements commercial software to verify their correctness, exhibiting a good agreement. |
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