Intensity dependent mode competition in second harmonic generation in multimode waveguides

Abstract

Temperature dependence and single-mode tuning behavior of second-harmonic generation in quantum cascade lasers Appl.Device length dependence of optical second-harmonic generation in AlGaAs quasiphase matched waveguides

Discrete quadratic solitons with competing second-harmonic components

“…Nevertheless, for sufficiently high laser intensities strongly pronounced nonlinear effects due to cascading have also been observed for finite phase mismatches [19,32]. Experimentally it was also demonstrated that the fundamental FW00 mode can interact with several SH modes simultaneously [33] and that this leads to nonlinear competition and suppression of spatial nonlinear effects in WGAs [28]. Here we study such a system with two competing nonlinear interactions.…”

“…For weak linear and nonlinear coupling strengths light propagation in the investigated discrete system can be described by the following normalized coupled mode equations [22,33]:…”

“…[33], where the mode dynamics was analyzed numerically and compared with experimentally measured tuning curves. Here, we consider the stationary solutions which have the following form: The real parameter β defines the propagation constant of all three components due to nonlinear synchronization and the U 0 , V 0 , and W 0 are the real valued stationary amplitudes.…”

Spectral pulse transformations and phase transitions in quadratic nonlinear waveguide arrays

“…However, in the same wavelength range the phase mismatch Δβ 2 between FW00 and SH10 mode [see mode profile in Fig. 1(a)] becomes small [29,30], leading to efficient nonlinear interaction. Hence in our analysis we have to consider a system featuring all the coupling mechanisms shown in Fig.…”

“…1(d) shows a scheme of the three bands governing the propagation of the modes taken into account here. The nonlinear propagation of cw-waves in the lithium niobate WGA, taking into account one FW and two SH modes, can be described with the following coupled mode equations for the mode amplitudes in the waveguides [29,31]:…”