Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions
In many applications constant or piecewise constant refractive index profiles are used to study the scattering of plane electromagnetic waves by a spherical object. When the structured media has variable refractive indices, this is more of a challenge. In this paper, we investigate the morphology de...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Applied Mechanics |
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| Online Access: | https://www.mdpi.com/2673-3161/2/4/45 |
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| author | Umaporn Nuntaplook John A. Adam |
| author_facet | Umaporn Nuntaplook John A. Adam |
| author_sort | Umaporn Nuntaplook |
| collection | DOAJ |
| description | In many applications constant or piecewise constant refractive index profiles are used to study the scattering of plane electromagnetic waves by a spherical object. When the structured media has variable refractive indices, this is more of a challenge. In this paper, we investigate the morphology dependent resonances for the scattering of electromagnetic waves from two concentric spheres when the outer shell has a variable refractive index. The resonance analysis is applied to the general solutions of the radial Debye potential for both transverse magnetic and transverse electric modes. Finally, the analytic conditions to determine the resonance locations for this system are derived in the closed form of both modes. Our numerical results are provided with discussion. |
| first_indexed | 2024-03-10T04:38:36Z |
| format | Article |
| id | doaj.art-70f5a6e28f8c4d35b7a87e92a40debe2 |
| institution | Directory Open Access Journal |
| issn | 2673-3161 |
| language | English |
| last_indexed | 2024-03-10T04:38:36Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Mechanics |
| spelling | doaj.art-70f5a6e28f8c4d35b7a87e92a40debe22023-11-23T03:34:45ZengMDPI AGApplied Mechanics2673-31612021-10-012478179610.3390/applmech2040045Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic SolutionsUmaporn Nuntaplook0John A. Adam1Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, ThailandDepartment of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USAIn many applications constant or piecewise constant refractive index profiles are used to study the scattering of plane electromagnetic waves by a spherical object. When the structured media has variable refractive indices, this is more of a challenge. In this paper, we investigate the morphology dependent resonances for the scattering of electromagnetic waves from two concentric spheres when the outer shell has a variable refractive index. The resonance analysis is applied to the general solutions of the radial Debye potential for both transverse magnetic and transverse electric modes. Finally, the analytic conditions to determine the resonance locations for this system are derived in the closed form of both modes. Our numerical results are provided with discussion.https://www.mdpi.com/2673-3161/2/4/45morphology-dependent resonancesvariable refractive indextransverse electric modetransverse magnetic mode |
| spellingShingle | Umaporn Nuntaplook John A. Adam Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions Applied Mechanics morphology-dependent resonances variable refractive index transverse electric mode transverse magnetic mode |
| title | Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions |
| title_full | Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions |
| title_fullStr | Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions |
| title_full_unstemmed | Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions |
| title_short | Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions |
| title_sort | morphology dependent resonances in two concentric spheres with variable refractive index in the outer layer analytic solutions |
| topic | morphology-dependent resonances variable refractive index transverse electric mode transverse magnetic mode |
| url | https://www.mdpi.com/2673-3161/2/4/45 |
| work_keys_str_mv | AT umapornnuntaplook morphologydependentresonancesintwoconcentricsphereswithvariablerefractiveindexintheouterlayeranalyticsolutions AT johnaadam morphologydependentresonancesintwoconcentricsphereswithvariablerefractiveindexintheouterlayeranalyticsolutions |