Thermo-optic hysteresis induced by a high-quality defect mode in a two-dimensional photonic crystal

https://doi.org/10.1103/PhysRevB.108.155411

We consider thermo-optic bistability induced by a high-quality defect mode in the square array of dielectric rods. It is demonstrated that the scattering problem with an account of the variation of the dielectric constant by heating can be solved with the $T$-matrix method by introducing an explicit dependence of the permittivity of the defect rod on temperature. We found that the bistability occurs at low intensities of the incident $\text{wave}\approx 0.01\mathrm{mW}/\mu m^2$ in a square array of $7\times 7$ silicon rods with a defect rod in the middle.