High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm
Harmonic generation is an attractive research field that finds a variety of application areas. However, harmonic generation within a medium of micron-scale interaction length limits the magnitude of nonlinear coupling and leads to poor harmonic generation efficiency. In this study, we present a cons...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/11/7/686 |
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| author | Özüm Emre Aşırım Alim Yolalmaz Mustafa Kuzuoğlu |
| author_facet | Özüm Emre Aşırım Alim Yolalmaz Mustafa Kuzuoğlu |
| author_sort | Özüm Emre Aşırım |
| collection | DOAJ |
| description | Harmonic generation is an attractive research field that finds a variety of application areas. However, harmonic generation within a medium of micron-scale interaction length limits the magnitude of nonlinear coupling and leads to poor harmonic generation efficiency. In this study, we present a constrained non-linear programming approach based on the Quasi-Newton Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm to obtain high-fidelity harmonic generation in optical micro-resonators. Using this approach, one can achieve high-intensity harmonic generation in a simple Fabry–Perot type optical micro-resonator. The generation of super-intense harmonics at a typical ultraviolet (UV)-ablation frequency of 820 THz and at pure yellow-light (515 THz) is investigated in particular. Moreover, we achieved more than 98% accuracy compared to well-known theoretical results. Our approach enables the design of highly efficient microscale harmonic generators to be used in integrated photonic devices. |
| first_indexed | 2024-03-10T18:27:35Z |
| format | Article |
| id | doaj.art-56a5e19984104f2c92f4985062334021 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-10T18:27:35Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-56a5e19984104f2c92f49850623340212023-11-20T06:51:32ZengMDPI AGMicromachines2072-666X2020-07-0111768610.3390/mi11070686High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS AlgorithmÖzüm Emre Aşırım0Alim Yolalmaz1Mustafa Kuzuoğlu2Department of Electrical and Electronics Engineering, Middle East Technical University, 06800 Ankara, TurkeyMicro and Nanotechnology Program, Middle East Technical University, 06800 Ankara, TurkeyDepartment of Electrical and Electronics Engineering, Middle East Technical University, 06800 Ankara, TurkeyHarmonic generation is an attractive research field that finds a variety of application areas. However, harmonic generation within a medium of micron-scale interaction length limits the magnitude of nonlinear coupling and leads to poor harmonic generation efficiency. In this study, we present a constrained non-linear programming approach based on the Quasi-Newton Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm to obtain high-fidelity harmonic generation in optical micro-resonators. Using this approach, one can achieve high-intensity harmonic generation in a simple Fabry–Perot type optical micro-resonator. The generation of super-intense harmonics at a typical ultraviolet (UV)-ablation frequency of 820 THz and at pure yellow-light (515 THz) is investigated in particular. Moreover, we achieved more than 98% accuracy compared to well-known theoretical results. Our approach enables the design of highly efficient microscale harmonic generators to be used in integrated photonic devices.https://www.mdpi.com/2072-666X/11/7/686harmonic generationnon-linear wave mixingnon-linear programmingmicro-resonator |
| spellingShingle | Özüm Emre Aşırım Alim Yolalmaz Mustafa Kuzuoğlu High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm Micromachines harmonic generation non-linear wave mixing non-linear programming micro-resonator |
| title | High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm |
| title_full | High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm |
| title_fullStr | High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm |
| title_full_unstemmed | High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm |
| title_short | High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm |
| title_sort | high fidelity harmonic generation in optical micro resonators using bfgs algorithm |
| topic | harmonic generation non-linear wave mixing non-linear programming micro-resonator |
| url | https://www.mdpi.com/2072-666X/11/7/686 |
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