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Analysis of linear and nonlinear photonic devices using eigenmode expansion

The simulation method known as eigenmode expansion proves to be a versatile approach for modeling microphotonic devices. Originally the tool was developed for high-contrast linear designs. However, it was also extended towards nonlinear effects, such as the Kerr nonlinearity and second-harmonic generation. Here we address recent numerical and theoretical results, obtained or supported by the eigenmode method. In the linear regime, we study high quality cavities, originating from multimode interference through the multipole cancelation mechanism. For the nonlinear regime we present a photonic crystal switching device based on a symmetry breaking instability.