Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures
The analysis of a single source in the vicinity of periodic structures is a very challenging task since the aperiodic source forbids a direct application of a periodic analysis method to the problem. Full wave methods addressing these problems involve infinite summations and double integrations whic...
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| Format: | Article |
| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10483065/ |
| _version_ | 1827296451905978368 |
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| author | Suleyman Adanir Lale Alatan |
| author_facet | Suleyman Adanir Lale Alatan |
| author_sort | Suleyman Adanir |
| collection | DOAJ |
| description | The analysis of a single source in the vicinity of periodic structures is a very challenging task since the aperiodic source forbids a direct application of a periodic analysis method to the problem. Full wave methods addressing these problems involve infinite summations and double integrations which make the analysis cumbersome. Homogenization based methods reduce this complexity but at the expense of a loss of accuracy and flexibility in handling different kinds of structures. Moreover, the resulting Green’s functions still need integrations as opposed to being in closed-form. In this paper, a novel approach is proposed to obtain closed-form expressions for the Green’s functions of single sources over periodic structures which makes the analysis of these problems efficient while offering more accuracy and flexibility compared to existing homogenization methods in the literature. To compute the fields scattered by the periodic structure, the reflection coefficients are numerically computed for TE and TM polarized incident plane waves with different angles of incidence and they are approximated by complex exponentials. Approximated reflection coefficients are used in conjunction with the plane wave expansion of the fields radiated by the dipole so that the scattered fields can be expressed in closed-form by utilizing Bessel integral identities. |
| first_indexed | 2024-04-24T14:39:00Z |
| format | Article |
| id | doaj.art-e0bd1e710df64911a7ae987cda6d2a06 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-24T14:39:00Z |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-e0bd1e710df64911a7ae987cda6d2a062024-04-02T23:00:39ZengIEEEIEEE Access2169-35362024-01-0112467044671610.1109/ACCESS.2024.338270810483065Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic StructuresSuleyman Adanir0Lale Alatan1https://orcid.org/0000-0002-9942-5839Department of Electrical and Electronics Engineering, Middle East Technical University, Ankara, TurkeyDepartment of Electrical and Electronics Engineering, Middle East Technical University, Ankara, TurkeyThe analysis of a single source in the vicinity of periodic structures is a very challenging task since the aperiodic source forbids a direct application of a periodic analysis method to the problem. Full wave methods addressing these problems involve infinite summations and double integrations which make the analysis cumbersome. Homogenization based methods reduce this complexity but at the expense of a loss of accuracy and flexibility in handling different kinds of structures. Moreover, the resulting Green’s functions still need integrations as opposed to being in closed-form. In this paper, a novel approach is proposed to obtain closed-form expressions for the Green’s functions of single sources over periodic structures which makes the analysis of these problems efficient while offering more accuracy and flexibility compared to existing homogenization methods in the literature. To compute the fields scattered by the periodic structure, the reflection coefficients are numerically computed for TE and TM polarized incident plane waves with different angles of incidence and they are approximated by complex exponentials. Approximated reflection coefficients are used in conjunction with the plane wave expansion of the fields radiated by the dipole so that the scattered fields can be expressed in closed-form by utilizing Bessel integral identities.https://ieeexplore.ieee.org/document/10483065/Closed-form dyadic Green’s functionsplanar periodic structuresmultilayered mediaelectric dipole excitationmethod of moments |
| spellingShingle | Suleyman Adanir Lale Alatan Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures IEEE Access Closed-form dyadic Green’s functions planar periodic structures multilayered media electric dipole excitation method of moments |
| title | Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures |
| title_full | Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures |
| title_fullStr | Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures |
| title_full_unstemmed | Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures |
| title_short | Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures |
| title_sort | closed form dyadic green x2019 s functions for dipole excitation of planar periodic structures |
| topic | Closed-form dyadic Green’s functions planar periodic structures multilayered media electric dipole excitation method of moments |
| url | https://ieeexplore.ieee.org/document/10483065/ |
| work_keys_str_mv | AT suleymanadanir closedformdyadicgreenx2019sfunctionsfordipoleexcitationofplanarperiodicstructures AT lalealatan closedformdyadicgreenx2019sfunctionsfordipoleexcitationofplanarperiodicstructures |