Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities
In this study, the photonic band structure, transmissivity, and electric field distribution of a two-dimensional photonic crystal coupled waveguide structure are calculated using the supercell technique and finite element method. The waveguide consists of circular <inline-formula><math xmln...
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MDPI AG
2025-05-01
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| author | Siqi Zhang Feng Yang Wenying Zhang Wei Zhao Luhe Yang Hong Li |
| author_facet | Siqi Zhang Feng Yang Wenying Zhang Wei Zhao Luhe Yang Hong Li |
| author_sort | Siqi Zhang |
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| description | In this study, the photonic band structure, transmissivity, and electric field distribution of a two-dimensional photonic crystal coupled waveguide structure are calculated using the supercell technique and finite element method. The waveguide consists of circular <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>N</mi><mi>b</mi><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula> and functional dielectric cylinders embedded in air. The dielectric constant of a functional medium cylinder is spatially dependent, which is realized through the electro-optic and Kerr effects. The dielectric constant function is defined as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mi>c</mi></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow><mo>=</mo><mi>k</mi><mo>·</mo><mi>r</mi><mo>+</mo><mi>b</mi></mrow></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo>⩽</mo><mi>r</mi><mo>⩽</mo><msub><mi>r</mi><mi>c</mi></msub></mrow></semantics></math></inline-formula>), where the coefficient <i>k</i> and parameter <i>b</i> can be adjusted by an external electric field. By tuning <i>k</i> and <i>b</i>, the transmission characteristics of the waveguide, including the propagation direction and light field distribution, exhibit significant adjustability. Specifically, parameter <i>b</i> enhances or suppresses the transmissivity at output ports 1 and 2. By utilizing the regulatory capability of functional media on waveguide transmission characteristics, optical filters with specific filtering functions can be designed. These findings provide novel design strategies for advanced optical devices. |
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| institution | OA Journals |
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| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
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| series | Micromachines |
| spelling | doaj-art-e5f8f2d824c5418bb39a25e8d1f987592025-08-20T01:56:38ZengMDPI AGMicromachines2072-666X2025-05-0116559710.3390/mi16050597Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric CavitiesSiqi Zhang0Feng Yang1Wenying Zhang2Wei Zhao3Luhe Yang4Hong Li5Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, ChinaInstitute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, ChinaInstitute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, ChinaInstitute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, ChinaInstitute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, ChinaJilin Engineering Laboratory for Quantum Information Technology, Changchun 130052, ChinaIn this study, the photonic band structure, transmissivity, and electric field distribution of a two-dimensional photonic crystal coupled waveguide structure are calculated using the supercell technique and finite element method. The waveguide consists of circular <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>N</mi><mi>b</mi><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula> and functional dielectric cylinders embedded in air. The dielectric constant of a functional medium cylinder is spatially dependent, which is realized through the electro-optic and Kerr effects. The dielectric constant function is defined as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mi>c</mi></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow><mo>=</mo><mi>k</mi><mo>·</mo><mi>r</mi><mo>+</mo><mi>b</mi></mrow></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo>⩽</mo><mi>r</mi><mo>⩽</mo><msub><mi>r</mi><mi>c</mi></msub></mrow></semantics></math></inline-formula>), where the coefficient <i>k</i> and parameter <i>b</i> can be adjusted by an external electric field. By tuning <i>k</i> and <i>b</i>, the transmission characteristics of the waveguide, including the propagation direction and light field distribution, exhibit significant adjustability. Specifically, parameter <i>b</i> enhances or suppresses the transmissivity at output ports 1 and 2. By utilizing the regulatory capability of functional media on waveguide transmission characteristics, optical filters with specific filtering functions can be designed. These findings provide novel design strategies for advanced optical devices.https://www.mdpi.com/2072-666X/16/5/597two-dimensional photonic crystalsphotonic bandgapdefect modeelectric field distributiontransmissivity |
| spellingShingle | Siqi Zhang Feng Yang Wenying Zhang Wei Zhao Luhe Yang Hong Li Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities Micromachines two-dimensional photonic crystals photonic bandgap defect mode electric field distribution transmissivity |
| title | Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities |
| title_full | Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities |
| title_fullStr | Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities |
| title_full_unstemmed | Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities |
| title_short | Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities |
| title_sort | tuning transmission properties of two dimensional photonic crystal waveguides using functional dielectric cavities |
| topic | two-dimensional photonic crystals photonic bandgap defect mode electric field distribution transmissivity |
| url | https://www.mdpi.com/2072-666X/16/5/597 |
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