A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference Coupler
A semi-analytical method for the S-parameter calculations of an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>×</mo><mi>M</mi></mrow></semantics...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/10/11/1260 |
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| author | Dmitrii Moskalev Andrei Kozlov Uliana Salgaeva Victor Krishtop Anatolii V. Perminov Vladimir Venediktov |
| author_facet | Dmitrii Moskalev Andrei Kozlov Uliana Salgaeva Victor Krishtop Anatolii V. Perminov Vladimir Venediktov |
| author_sort | Dmitrii Moskalev |
| collection | DOAJ |
| description | A semi-analytical method for the S-parameter calculations of an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>×</mo><mi>M</mi></mrow></semantics></math></inline-formula> multimode interference coupler (MMI coupler) is presented. The proposed semi-analytical method is based on the mode decomposition and utilizes an effective index method to approximate the channel waveguide using an equivalent slab waveguide whose modes are described by exact analytic expressions. In comparison to the commonly used beam propagation method (BPM) and finite difference time domain method, which require significant time and computational resources, the proposed method accelerates the design process of photonic integrated circuits and basic building blocks such as an MMI coupler. The simulation results obtained using the developed method and the BPM were compared and showed very similar outcomes for different topologies of the MMI coupler. The key advantage of the proposed semi-analytical method over other analytical models is its ability to accurately simulate MMI couplers with an arbitrary position and number of input and output waveguides. In addition, this method can be extended using the theory of local coupled modes by taking into account the reflections from the end face of the MMI box. |
| first_indexed | 2024-03-09T16:31:19Z |
| format | Article |
| id | doaj.art-4c997c31e33240b8962c123c02acb9d9 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-09T16:31:19Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-4c997c31e33240b8962c123c02acb9d92023-11-24T15:01:37ZengMDPI AGPhotonics2304-67322023-11-011011126010.3390/photonics10111260A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference CouplerDmitrii Moskalev0Andrei Kozlov1Uliana Salgaeva2Victor Krishtop3Anatolii V. Perminov4Vladimir Venediktov5Department of Nanotechnology and Microsystem Techniques, Faculty of Physics, Perm State University, 15 Bukireva Str., 614068 Perm, RussiaDepartment of Nanotechnology and Microsystem Techniques, Faculty of Physics, Perm State University, 15 Bukireva Str., 614068 Perm, RussiaDepartment of Nanotechnology and Microsystem Techniques, Faculty of Physics, Perm State University, 15 Bukireva Str., 614068 Perm, RussiaDepartment of Nanotechnology and Microsystem Techniques, Faculty of Physics, Perm State University, 15 Bukireva Str., 614068 Perm, RussiaDepartment of General Physics, Perm National Research Polytechnic University, 29, Komsomolsky Prospekt, 614990 Perm, RussiaLaser Measurement and Navigation Systems Department, Electrotechnical University “LETI”, 197022 St. Petersburg, RussiaA semi-analytical method for the S-parameter calculations of an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>×</mo><mi>M</mi></mrow></semantics></math></inline-formula> multimode interference coupler (MMI coupler) is presented. The proposed semi-analytical method is based on the mode decomposition and utilizes an effective index method to approximate the channel waveguide using an equivalent slab waveguide whose modes are described by exact analytic expressions. In comparison to the commonly used beam propagation method (BPM) and finite difference time domain method, which require significant time and computational resources, the proposed method accelerates the design process of photonic integrated circuits and basic building blocks such as an MMI coupler. The simulation results obtained using the developed method and the BPM were compared and showed very similar outcomes for different topologies of the MMI coupler. The key advantage of the proposed semi-analytical method over other analytical models is its ability to accurately simulate MMI couplers with an arbitrary position and number of input and output waveguides. In addition, this method can be extended using the theory of local coupled modes by taking into account the reflections from the end face of the MMI box.https://www.mdpi.com/2304-6732/10/11/1260multimode interference couplerS-parametersanalytical model |
| spellingShingle | Dmitrii Moskalev Andrei Kozlov Uliana Salgaeva Victor Krishtop Anatolii V. Perminov Vladimir Venediktov A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference Coupler Photonics multimode interference coupler S-parameters analytical model |
| title | A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference Coupler |
| title_full | A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference Coupler |
| title_fullStr | A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference Coupler |
| title_full_unstemmed | A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference Coupler |
| title_short | A Semi-Analytical Method for the S-Parameter Calculations of an <i>N</i> × <i>M</i> Multimode Interference Coupler |
| title_sort | semi analytical method for the s parameter calculations of an i n i i m i multimode interference coupler |
| topic | multimode interference coupler S-parameters analytical model |
| url | https://www.mdpi.com/2304-6732/10/11/1260 |
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