Theoretical analysis of the electromagnetic field inside an anomalous-dispersion microresonator under synthetical pump

Xu Xin^{1, 2}, Hu Xiaohong^{1, 2}, Feng Ye^{1, 2}, Liu Yuanshan^{1, †,}, Zhang Wei¹, Yang Zhi¹, Zhao Wei¹, Wang Yishan^{1, ‡,}

(a) Spatiotemporal evolution of the field in the microresonator with anomalous dispersion. The parameters are α = 0.5, β = −0.01, F = 0.8 and the initial field in the microresonator is ψ₀ = 0.5 + 0.5exp[−(θ/0.5)²]. The field of the input pump pulses is ψ_im = 0.5exp [−(θ/0.5)²], and the repetition frequency is set as f = FSR/500. (b) Several intensity profiles and the corresponding spectra of the fields at different moments in a variation period.