Eigenvalue spectrum analysis for temporal signals of Kerr optical frequency combs based on nonlinear Fourier transform<xref rid="cpb_29_3_034207fn1" ref-type="fn">*</xref><fn id="cpb_29_3_034207fn1"><label>*</label><p>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).</p></fn>

Eigenvalue spectrum analysis for temporal signals of Kerr optical frequency combs based on nonlinear Fourier transform**

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).

Wang Jia¹, Sheng Ai-Guo¹, Huang Xin¹, Li Rong-Yu¹, He Guang-Qiang^{1, 2, 3, †}

The temporal intensity and phase profiles, linear spectrum, and nonlinear eigenvalue spectrum of Turing pattern (left column) and single soliton state (right column). ζ₀ = 13.54 for the Turing pattern generated during the decrease of ω_p, while ζ₀ = 23.89 for the single soliton state generated during the increase of ω_p.