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We measure the dynamics of the thermo-optical nonlinearity of both a mode-gapnanocavity and a delocalized mode in aGa$_{\mathrm{0.51}}$In$_{\mathrm{0.49}}$P photonic crystal membrane. We modelthese results in terms of heat transport and thermo-optical response in thematerial. By step-modulating the optical input power we push the nonlinearresonance to jump between stable branches of its response curve, causingbistable switching. An overshoot of the intensity followed by a relaxation tailis observed upon bistable switching. In this way, the thermal relaxation ofboth the localized resonance and the delocalized resonance is measured.Significant difference in decay time is observed and related to the opticalmode profile of the resonance. We reproduce the observed transient behaviorwith our thermo-optical model, implementing a non-instantaneous nonlinearity,and taking into account the optical mode profile of the resonance, asexperimentally measured.

Thermo-optical dynamics of a nonlinear GaInP photonic crystal nanocavity depend on the optical mode profile