Modeling of quasi-phase-matched cavity-enhanced second-harmonic generation

Abstract

We propose a mean field model to describe second harmonic generation in a resonator made of a material with zincblende crystalline structure. The model is obtained through an averaging of the propagation equations and boundary conditions. It takes into account the phase-mismatched terms, which act as an effective Kerr effect. We analyze the impact of the different terms on the steady state solutions, highlighting the competition between nonlinearities.

Spectral Broadening in a Continuously Pumped Singly Resonant Second-Harmonic Cavity

“…Unfortunately, the dynamics of these combs are outside the range of applicability of current models [13,15,41]. Their numerical simulation would require the use of a single envelope equation model or the development of a new multi-envelope Ikeda map model that is beyond the scope of the current investigation and will be the subject of upcoming works.…”

“…Soon thereafter, in 2007, OFCs were demonstrated in microresonators pumped by a continuous-wave (cw) laser, exploiting the third-order nonlinear susceptibility χ (3) , in so called Kerr combs [7,8]. Recent theoretical studies and experimental investigations have demonstrated frequency comb generation also in quadratic nonlinear optical cavities, realizing quadratic frequency combs [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. These sources provide an interesting alternative to traditional comb generation techniques.…”

“…These sources provide an interesting alternative to traditional comb generation techniques. They offer numerous advantages in terms of low pump power requirements, spectral versatility, and potential for miniaturization of the device [17][18][19][20][21][22][23]. Interestingly, they can generate simultaneous combs in different spectral ranges.…”

Influence of longitudinal mode components on second harmonic generation in III-V-on-insulator nanowires

“…The χ (2) xyz coefficient, which is the only nonzero tensor element, was measured to be as high as 220 pm/V around 1550 nm [18]. Because of the lack of birefringence in III-V semiconductors, several different approaches have been implemented to achieve phase matching, including form birefringence [19], quasi-phase-matching [20][21][22][23][24] and modal phase matching [6,25]. Our theoretical study is focused on the latter.…”