Abstract
Efficient numerical methods are developed to analyze optical bistability in a multilayer structure with Kerr nonlinearity. It corresponds to computing multiple solutions of the one-dimensional nonlinear Helmholtz equation for a range of frequencies and incident intensities. The input–output characteristics is calculated as a simple initial value problem without any iterations. Bistability intervals of the incident intensity are determined directly without using a continuation scheme. The complete transmission spectrum at a fixed incident intensity and a varying frequency is obtained including both stable and unstable solutions.
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