| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Eigenvalue spectrum analysis for temporal signals of Kerr optical frequency combs based on nonlinear Fourier transform |
| Jia Wang(王佳)1, Ai-Guo Sheng(盛爱国)1, Xin Huang(黄鑫)1, Rong-Yu Li(李荣玉)1, Guang-Qiang He(何广强)1,2,3 |
1 State Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2 State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China;
3 National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China |
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Abstract Based on the nonlinear Schrödinger equation (NLSE) with damping, detuning, and driving terms describing the evolution of signals in a Kerr microresonator, we apply periodic nonlinear Fourier transform (NFT) to the study of signals during the generation of the Kerr optical frequency combs (OFCs). We find that the signals in different states, including the Turing pattern, the chaos, the single soliton state, and the multi-solitons state, can be distinguished according to different distributions of the eigenvalue spectrum. Specially, the eigenvalue spectrum of the single soliton pulse is composed of a pair of conjugate symmetric discrete eigenvalues and the quasi-continuous eigenvalue spectrum with eye-like structure. Moreover, we have successfully demonstrated that the number of discrete eigenvalue pairs in the eigenvalue spectrum corresponds to the number of solitons formed in a round-trip time inside the Kerr microresonator. This work shows that some characteristics of the time-domain signal can be well reflected in the nonlinear domain.
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Received: 24 September 2019
Revised: 20 November 2019
Accepted manuscript online:
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PACS:
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42.65.Sf
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(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61475099 and 61922040), Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices, China (Grant No. KF201701), and the Key R&D Program of Guangdong Province, China (Grant No. 2018B030325002). |
Corresponding Authors:
Guang-Qiang He
E-mail: gqhe@sjtu.edu.cn
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Cite this article:
Jia Wang(王佳), Ai-Guo Sheng(盛爱国), Xin Huang(黄鑫), Rong-Yu Li(李荣玉), Guang-Qiang He(何广强) Eigenvalue spectrum analysis for temporal signals of Kerr optical frequency combs based on nonlinear Fourier transform 2020 Chin. Phys. B 29 034207
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