Mode Selection Method in Spherical Optical Cavities with Thin Metal Film
A new method for the selection of the radial modes of a spherical microresonator by the quality factor, based on the effect of absorption in a thin metal film deposited on a sphere together with a dielectric layer, is proposed. The method was proved by numerical simulation on the example of the seco...
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MDPI AG
2023-07-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/10/7/789 |
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| author | Vadim Terentyev Victor Simonov |
| author_facet | Vadim Terentyev Victor Simonov |
| author_sort | Vadim Terentyev |
| collection | DOAJ |
| description | A new method for the selection of the radial modes of a spherical microresonator by the quality factor, based on the effect of absorption in a thin metal film deposited on a sphere together with a dielectric layer, is proposed. The method was proved by numerical simulation on the example of the second and third radial modes <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><msub><mrow><mi>E</mi></mrow><mrow><mi>l</mi><mo>,</mo><mi>l</mi><mo>,</mo><mi>q</mi></mrow></msub></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>l</mi></mrow></semantics></math></inline-formula> = 455, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi></mrow></semantics></math></inline-formula> = 2, 3 selection in 80 μm radius quartz microsphere with 5 nm thick nickel film. The structure of the metal-dielectric coating was determined using analytical formulas in such a way that the metal film was placed at the node of the selected mode E-field distribution. The finite element method was used to refine the calculation, optimizing the position of the film in terms of obtaining the maximum quality factor. As a result, it was shown that the selected mode could have a relatively high quality factor (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi></mrow></semantics></math></inline-formula>~10<sup>7</sup>), while the other radial modes are significantly suppressed (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi></mrow></semantics></math></inline-formula>~10<sup>3</sup>). In addition, it is shown that selection is carried out by the mode index number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>l</mi></mrow></semantics></math></inline-formula>) simultaneously with selection by the radial index. |
| first_indexed | 2024-03-11T00:43:34Z |
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| last_indexed | 2024-03-11T00:43:34Z |
| publishDate | 2023-07-01 |
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| spelling | doaj.art-0a38da0469944342b4856c386170a29e2023-11-18T20:58:11ZengMDPI AGPhotonics2304-67322023-07-0110778910.3390/photonics10070789Mode Selection Method in Spherical Optical Cavities with Thin Metal FilmVadim Terentyev0Victor Simonov1Institute of Automation and Electrometry of the SB RAS, 1 Acad. Koptyug Ave., 630090 Novosibirsk, RussiaInstitute of Automation and Electrometry of the SB RAS, 1 Acad. Koptyug Ave., 630090 Novosibirsk, RussiaA new method for the selection of the radial modes of a spherical microresonator by the quality factor, based on the effect of absorption in a thin metal film deposited on a sphere together with a dielectric layer, is proposed. The method was proved by numerical simulation on the example of the second and third radial modes <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><msub><mrow><mi>E</mi></mrow><mrow><mi>l</mi><mo>,</mo><mi>l</mi><mo>,</mo><mi>q</mi></mrow></msub></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>l</mi></mrow></semantics></math></inline-formula> = 455, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi></mrow></semantics></math></inline-formula> = 2, 3 selection in 80 μm radius quartz microsphere with 5 nm thick nickel film. The structure of the metal-dielectric coating was determined using analytical formulas in such a way that the metal film was placed at the node of the selected mode E-field distribution. The finite element method was used to refine the calculation, optimizing the position of the film in terms of obtaining the maximum quality factor. As a result, it was shown that the selected mode could have a relatively high quality factor (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi></mrow></semantics></math></inline-formula>~10<sup>7</sup>), while the other radial modes are significantly suppressed (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi></mrow></semantics></math></inline-formula>~10<sup>3</sup>). In addition, it is shown that selection is carried out by the mode index number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>l</mi></mrow></semantics></math></inline-formula>) simultaneously with selection by the radial index.https://www.mdpi.com/2304-6732/10/7/789thin metal filmwhispering gallery mode resonator |
| spellingShingle | Vadim Terentyev Victor Simonov Mode Selection Method in Spherical Optical Cavities with Thin Metal Film Photonics thin metal film whispering gallery mode resonator |
| title | Mode Selection Method in Spherical Optical Cavities with Thin Metal Film |
| title_full | Mode Selection Method in Spherical Optical Cavities with Thin Metal Film |
| title_fullStr | Mode Selection Method in Spherical Optical Cavities with Thin Metal Film |
| title_full_unstemmed | Mode Selection Method in Spherical Optical Cavities with Thin Metal Film |
| title_short | Mode Selection Method in Spherical Optical Cavities with Thin Metal Film |
| title_sort | mode selection method in spherical optical cavities with thin metal film |
| topic | thin metal film whispering gallery mode resonator |
| url | https://www.mdpi.com/2304-6732/10/7/789 |
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