Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances
Abstract Considered is the plane‐wave scattering from and absorption by a thin circular dielectric disk. The analysis uses a set of the singular integral equations for the effective electric and magnetic currents, derived using the generalized boundary conditions on the disk median section. Followin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-08-01
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| Series: | IET Microwaves, Antennas & Propagation |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/mia2.12106 |
| _version_ | 1828114969228476416 |
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| author | Mario Lucido Mykhaylo V. Balaban Alexander I. Nosich |
| author_facet | Mario Lucido Mykhaylo V. Balaban Alexander I. Nosich |
| author_sort | Mario Lucido |
| collection | DOAJ |
| description | Abstract Considered is the plane‐wave scattering from and absorption by a thin circular dielectric disk. The analysis uses a set of the singular integral equations for the effective electric and magnetic currents, derived using the generalized boundary conditions on the disk median section. Following the recently developed analytical preconditioning procedure, these equations are discretized by the Galerkin technique with judiciously chosen expansion functions, which provide for the Fredholm second‐kind nature of the resulting matrix equations. This guarantees the code convergence and high efficiency. It is demonstrated that the developed technique delivers the most important features of thin dielectric disks–the resonances on the natural modes. In the resonances on the slab modes, the disk can be well‐transparent and the shadow is created only by its rim; in the whispering gallery mode resonances, the scattering occurs mainly in the disk plane. |
| first_indexed | 2024-04-11T12:32:19Z |
| format | Article |
| id | doaj.art-71933ac0b83b4433898d3bc2fd05e9b1 |
| institution | Directory Open Access Journal |
| issn | 1751-8725 1751-8733 |
| language | English |
| last_indexed | 2024-04-11T12:32:19Z |
| publishDate | 2021-08-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Microwaves, Antennas & Propagation |
| spelling | doaj.art-71933ac0b83b4433898d3bc2fd05e9b12022-12-22T04:23:43ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332021-08-0115101159117010.1049/mia2.12106Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonancesMario Lucido0Mykhaylo V. Balaban1Alexander I. Nosich2Department of Electrical and Information Engineering University of Cassino and Southern Lazio Cassino ItalyLaboratory of Micro and Nano Optics Institute of Radio‐Physics and Electronics NASU Kharkiv UkraineLaboratory of Micro and Nano Optics Institute of Radio‐Physics and Electronics NASU Kharkiv UkraineAbstract Considered is the plane‐wave scattering from and absorption by a thin circular dielectric disk. The analysis uses a set of the singular integral equations for the effective electric and magnetic currents, derived using the generalized boundary conditions on the disk median section. Following the recently developed analytical preconditioning procedure, these equations are discretized by the Galerkin technique with judiciously chosen expansion functions, which provide for the Fredholm second‐kind nature of the resulting matrix equations. This guarantees the code convergence and high efficiency. It is demonstrated that the developed technique delivers the most important features of thin dielectric disks–the resonances on the natural modes. In the resonances on the slab modes, the disk can be well‐transparent and the shadow is created only by its rim; in the whispering gallery mode resonances, the scattering occurs mainly in the disk plane.https://doi.org/10.1049/mia2.12106electromagnetic wave scatteringFredholm integral equationsGalerkin methodintegral equationsmatrix algebramethod of moments |
| spellingShingle | Mario Lucido Mykhaylo V. Balaban Alexander I. Nosich Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances IET Microwaves, Antennas & Propagation electromagnetic wave scattering Fredholm integral equations Galerkin method integral equations matrix algebra method of moments |
| title | Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances |
| title_full | Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances |
| title_fullStr | Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances |
| title_full_unstemmed | Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances |
| title_short | Plane wave scattering from thin dielectric disk in free space: Generalized boundary conditions, regularizing Galerkin technique and whispering gallery mode resonances |
| title_sort | plane wave scattering from thin dielectric disk in free space generalized boundary conditions regularizing galerkin technique and whispering gallery mode resonances |
| topic | electromagnetic wave scattering Fredholm integral equations Galerkin method integral equations matrix algebra method of moments |
| url | https://doi.org/10.1049/mia2.12106 |
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