Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary
A method for the approximate computation of frequency-dependent magnetic and electric matrix Green’s functions in a rectangular parallelepiped with a perfect conducting boundary is suggested in the paper. This method is based on approximation (regularization) of the Dirac delta function and its deri...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/586370 |
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| _version_ | 1832559804589015040 |
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| author | V. G. Yakhno Ş. Ersoy |
| author_facet | V. G. Yakhno Ş. Ersoy |
| author_sort | V. G. Yakhno |
| collection | DOAJ |
| description | A method for the approximate computation of frequency-dependent magnetic and electric matrix Green’s functions in a rectangular parallelepiped with a perfect conducting boundary is suggested in the paper. This method is based on approximation (regularization) of the Dirac delta function
and its derivatives, which appear in the differential equations for magnetic and electric Green’s functions, and the Fourier series expansion meta-approach
for solving the elliptic boundary value problems. The elements of approximate Green’s functions are found explicitly in the form of the Fourier series with a finite number of terms. The convergence analysis for finding the number of the terms is given. The computational experiments have confirmed the robustness of the method. |
| format | Article |
| id | doaj-art-f63f2ee53d194e9d8a8fc45ad7825e4a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f63f2ee53d194e9d8a8fc45ad7825e4a2025-02-03T01:29:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/586370586370Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting BoundaryV. G. Yakhno0Ş. Ersoy1Electrical and Electronics Engineering Department, Dokuz Eylul University, Kaynaklar, Buca, 35 160 Izmir, TurkeyDepartment of Mathematics, The Graduate School of Natural and Applied Sciences, Dokuz Eylul University, Kaynaklar, Buca, 35 160 Izmir, TurkeyA method for the approximate computation of frequency-dependent magnetic and electric matrix Green’s functions in a rectangular parallelepiped with a perfect conducting boundary is suggested in the paper. This method is based on approximation (regularization) of the Dirac delta function and its derivatives, which appear in the differential equations for magnetic and electric Green’s functions, and the Fourier series expansion meta-approach for solving the elliptic boundary value problems. The elements of approximate Green’s functions are found explicitly in the form of the Fourier series with a finite number of terms. The convergence analysis for finding the number of the terms is given. The computational experiments have confirmed the robustness of the method.http://dx.doi.org/10.1155/2014/586370 |
| spellingShingle | V. G. Yakhno Ş. Ersoy Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary Abstract and Applied Analysis |
| title | Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary |
| title_full | Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary |
| title_fullStr | Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary |
| title_full_unstemmed | Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary |
| title_short | Computing the Electric and Magnetic Matrix Green’s Functions in a Rectangular Parallelepiped with a Perfect Conducting Boundary |
| title_sort | computing the electric and magnetic matrix green s functions in a rectangular parallelepiped with a perfect conducting boundary |
| url | http://dx.doi.org/10.1155/2014/586370 |
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