Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves
Nowadays, unique characteristics of surface electromagnetic waves, particularly, surface plasmons supported by a specially designed photonic crystal find numerous applications. We propose to exploit an evident analogy between such a photonic crystal and a structure with a sine-modulated refractive i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Advanced Electromagnetics
2015-11-01
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| Series: | Advanced Electromagnetics |
| Subjects: | |
| Online Access: | https://aemjournal.org/index.php/AEM/article/view/321 |
| _version_ | 1818578701602783232 |
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| author | E. Rostova G. Dietler S. K. Sekatskii |
| author_facet | E. Rostova G. Dietler S. K. Sekatskii |
| author_sort | E. Rostova |
| collection | DOAJ |
| description | Nowadays, unique characteristics of surface electromagnetic waves, particularly, surface plasmons supported by a specially designed photonic crystal find numerous applications. We propose to exploit an evident analogy between such a photonic crystal and a structure with a sine-modulated refractive index. The light propagation inside the latter is described by the famous Mathieu’s differential equation. This application of the Mathieu’s equation can be useful for a design of multilayer structures, and also for fundamental understanding of electromagnetic phenomena in inhomogeneous media. |
| first_indexed | 2024-12-16T06:50:00Z |
| format | Article |
| id | doaj.art-e49128e6b8fc4d5f85fce17873c1fbfc |
| institution | Directory Open Access Journal |
| issn | 2119-0275 |
| language | English |
| last_indexed | 2024-12-16T06:50:00Z |
| publishDate | 2015-11-01 |
| publisher | Advanced Electromagnetics |
| record_format | Article |
| series | Advanced Electromagnetics |
| spelling | doaj.art-e49128e6b8fc4d5f85fce17873c1fbfc2022-12-21T22:40:26ZengAdvanced ElectromagneticsAdvanced Electromagnetics2119-02752015-11-014310.7716/aem.v4i3.321321Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic wavesE. Rostova0G. Dietler1S. K. Sekatskii2EPFLEPFLEPFLNowadays, unique characteristics of surface electromagnetic waves, particularly, surface plasmons supported by a specially designed photonic crystal find numerous applications. We propose to exploit an evident analogy between such a photonic crystal and a structure with a sine-modulated refractive index. The light propagation inside the latter is described by the famous Mathieu’s differential equation. This application of the Mathieu’s equation can be useful for a design of multilayer structures, and also for fundamental understanding of electromagnetic phenomena in inhomogeneous media.https://aemjournal.org/index.php/AEM/article/view/321PlasmonsPhotonic crystalSurface wavesMathieu's equation |
| spellingShingle | E. Rostova G. Dietler S. K. Sekatskii Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves Advanced Electromagnetics Plasmons Photonic crystal Surface waves Mathieu's equation |
| title | Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves |
| title_full | Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves |
| title_fullStr | Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves |
| title_full_unstemmed | Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves |
| title_short | Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves |
| title_sort | application of the mathieu s equation for a design of a photonic crystal supporting surface electromagnetic waves |
| topic | Plasmons Photonic crystal Surface waves Mathieu's equation |
| url | https://aemjournal.org/index.php/AEM/article/view/321 |
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