Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism Resonators
Total internal reflection occurs at the interface between two media with different refractive indices during propagation of light rays from a medium with a higher refractive index to a medium with a lower refractive index. If the thickness of the second medium is comparable to a specific light wavel...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/12/2673 |
| _version_ | 1797455168523993088 |
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| author | Dmitry P. Fedchenko Petr N. Kim Ivan V. Timofeev |
| author_facet | Dmitry P. Fedchenko Petr N. Kim Ivan V. Timofeev |
| author_sort | Dmitry P. Fedchenko |
| collection | DOAJ |
| description | Total internal reflection occurs at the interface between two media with different refractive indices during propagation of light rays from a medium with a higher refractive index to a medium with a lower refractive index. If the thickness of the second medium is comparable to a specific light wavelength, then total internal reflection is violated partially or completely. Based on the frustrated total internal reflection, herein we discuss a two-dimensional photonic topological insulator in an array consisting of triangular, quadrangular, or hexagonal transparent prism resonators with a narrow gap between them. An array of prism resonators allows topologically stable edge solutions (eigenwaves) similar to those studied in ring resonators. Moreover, total internal reflection occurs at different angles of incidence of light. This makes it possible to obtain a set of fundamentally new edge solutions. The light is presumably concentrated at the surface; however, in the new solutions it penetrates relatively deep into the photonic topological insulator and excites several layers of prisms positioned beyond the surface. Remarkably, the direction of light propagation is precisely biased, and therefore new solutions exhibit lower symmetry than the resonator array symmetry. |
| first_indexed | 2024-03-09T15:47:39Z |
| format | Article |
| id | doaj.art-5c42834f25d3445689f3ce30a97693d7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T15:47:39Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-5c42834f25d3445689f3ce30a97693d72023-11-24T18:21:10ZengMDPI AGSymmetry2073-89942022-12-011412267310.3390/sym14122673Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism ResonatorsDmitry P. Fedchenko0Petr N. Kim1Ivan V. Timofeev2L.V. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, RussiaSiberian Federal University, 660041 Krasnoyarsk, RussiaL.V. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, RussiaTotal internal reflection occurs at the interface between two media with different refractive indices during propagation of light rays from a medium with a higher refractive index to a medium with a lower refractive index. If the thickness of the second medium is comparable to a specific light wavelength, then total internal reflection is violated partially or completely. Based on the frustrated total internal reflection, herein we discuss a two-dimensional photonic topological insulator in an array consisting of triangular, quadrangular, or hexagonal transparent prism resonators with a narrow gap between them. An array of prism resonators allows topologically stable edge solutions (eigenwaves) similar to those studied in ring resonators. Moreover, total internal reflection occurs at different angles of incidence of light. This makes it possible to obtain a set of fundamentally new edge solutions. The light is presumably concentrated at the surface; however, in the new solutions it penetrates relatively deep into the photonic topological insulator and excites several layers of prisms positioned beyond the surface. Remarkably, the direction of light propagation is precisely biased, and therefore new solutions exhibit lower symmetry than the resonator array symmetry.https://www.mdpi.com/2073-8994/14/12/2673geometric opticstopological insulatorfrustrated total internal reflection |
| spellingShingle | Dmitry P. Fedchenko Petr N. Kim Ivan V. Timofeev Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism Resonators Symmetry geometric optics topological insulator frustrated total internal reflection |
| title | Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism Resonators |
| title_full | Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism Resonators |
| title_fullStr | Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism Resonators |
| title_full_unstemmed | Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism Resonators |
| title_short | Photonic Topological Insulator Based on Frustrated Total Internal Reflection in Array of Coupled Prism Resonators |
| title_sort | photonic topological insulator based on frustrated total internal reflection in array of coupled prism resonators |
| topic | geometric optics topological insulator frustrated total internal reflection |
| url | https://www.mdpi.com/2073-8994/14/12/2673 |
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