Analytic Theory for Parametric Amplification in High-Q Micro-Ring Resonators
Optical parametric amplifiers (OPAs) are optical amplifiers based on four-wave mixing processes, showing great potential for applications in communications, optical signal processing, quantum optics, etc. In recent years, significant progress has been made to integrated OPAs based on highly nonlinea...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/10175559/ |
| _version_ | 1797755860784513024 |
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| author | Shiqi He Nuo Chen Hanghang Li Xiaolong Fan Wenchan Dong Jianji Dong Heng Zhou Xinliang Zhang Jing Xu |
| author_facet | Shiqi He Nuo Chen Hanghang Li Xiaolong Fan Wenchan Dong Jianji Dong Heng Zhou Xinliang Zhang Jing Xu |
| author_sort | Shiqi He |
| collection | DOAJ |
| description | Optical parametric amplifiers (OPAs) are optical amplifiers based on four-wave mixing processes, showing great potential for applications in communications, optical signal processing, quantum optics, etc. In recent years, significant progress has been made to integrated OPAs based on highly nonlinear micro-ring resonators (MRRs), benefiting from the greatly enhanced optical-matter interactions. Notable parametric gain becomes available at unprecedented low power levels, allowing for example the source-integrated coherent optical frequency combs. Therefore, an analytical formula for OPAs in high-quality (Q) MRRs is of great importance in the design of optical parametric devices. Analytical theory for OPAs in high-Q MRRs in the high pump power scenario remains elusive, where intensity-dependent nonlinear phase that brings significant parametric gains cannot be ignored. In this work, analytical formulas for the parametric gain and conversion efficiency (CE) of a high-Q MRR with high-pump excitation are derived. We show the interplay between parametric gain and field enhancement: the field enhancement of the signal and idler wave can be greatly boosted due to the compensation of the round-trip loss by the parametric gain, which in turn leads to increased field enhancement as well as greater parametric gain and CE. Our theory agrees well with numerical and experimental results. |
| first_indexed | 2024-03-12T17:53:14Z |
| format | Article |
| id | doaj.art-0fd514d2ad97461aa8e5f5678c401e98 |
| institution | Directory Open Access Journal |
| issn | 1943-0655 |
| language | English |
| last_indexed | 2024-03-12T17:53:14Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj.art-0fd514d2ad97461aa8e5f5678c401e982023-08-02T23:00:05ZengIEEEIEEE Photonics Journal1943-06552023-01-011541510.1109/JPHOT.2023.329331310175559Analytic Theory for Parametric Amplification in High-Q Micro-Ring ResonatorsShiqi He0https://orcid.org/0009-0007-9205-0484Nuo Chen1Hanghang Li2https://orcid.org/0009-0009-1902-1358Xiaolong Fan3Wenchan Dong4https://orcid.org/0000-0002-2848-8242Jianji Dong5Heng Zhou6Xinliang Zhang7https://orcid.org/0000-0001-8513-3328Jing Xu8https://orcid.org/0000-0001-9886-5827School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, ChinaWuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, ChinaKey Lab of Optical Fiber Sensing and Communication Networks, University of Electronic Science and Technology of China, Chengdu, ChinaWuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan, ChinaSchool of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, ChinaOptical parametric amplifiers (OPAs) are optical amplifiers based on four-wave mixing processes, showing great potential for applications in communications, optical signal processing, quantum optics, etc. In recent years, significant progress has been made to integrated OPAs based on highly nonlinear micro-ring resonators (MRRs), benefiting from the greatly enhanced optical-matter interactions. Notable parametric gain becomes available at unprecedented low power levels, allowing for example the source-integrated coherent optical frequency combs. Therefore, an analytical formula for OPAs in high-quality (Q) MRRs is of great importance in the design of optical parametric devices. Analytical theory for OPAs in high-Q MRRs in the high pump power scenario remains elusive, where intensity-dependent nonlinear phase that brings significant parametric gains cannot be ignored. In this work, analytical formulas for the parametric gain and conversion efficiency (CE) of a high-Q MRR with high-pump excitation are derived. We show the interplay between parametric gain and field enhancement: the field enhancement of the signal and idler wave can be greatly boosted due to the compensation of the round-trip loss by the parametric gain, which in turn leads to increased field enhancement as well as greater parametric gain and CE. Our theory agrees well with numerical and experimental results.https://ieeexplore.ieee.org/document/10175559/Parametric amplificationmicro-ring resonatorsfour-wave mixing |
| spellingShingle | Shiqi He Nuo Chen Hanghang Li Xiaolong Fan Wenchan Dong Jianji Dong Heng Zhou Xinliang Zhang Jing Xu Analytic Theory for Parametric Amplification in High-Q Micro-Ring Resonators IEEE Photonics Journal Parametric amplification micro-ring resonators four-wave mixing |
| title | Analytic Theory for Parametric Amplification in High-Q Micro-Ring Resonators |
| title_full | Analytic Theory for Parametric Amplification in High-Q Micro-Ring Resonators |
| title_fullStr | Analytic Theory for Parametric Amplification in High-Q Micro-Ring Resonators |
| title_full_unstemmed | Analytic Theory for Parametric Amplification in High-Q Micro-Ring Resonators |
| title_short | Analytic Theory for Parametric Amplification in High-Q Micro-Ring Resonators |
| title_sort | analytic theory for parametric amplification in high q micro ring resonators |
| topic | Parametric amplification micro-ring resonators four-wave mixing |
| url | https://ieeexplore.ieee.org/document/10175559/ |
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