Analysis of nonlinear grating couplers by singular perturbation technique
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Copyright Institute of Electrical and Electronics EngineersThe properties of the nonlinear output and input grating couplers are analyzed by using the singular perturbation technique with the multiple space scales. We first introduce the perturbation parameter concerned with the nonlinear parameterand the grating depth. After the wave functions are expanded, the perturbation solutions to satisfy the equivalent boundaryconditions are derived. From the solvability condition to have nontrivial solutions on each perturbation order, the nonlinear equations to describe the power leakage of the guided wave due to the second-order coupling to the first-order waves are obtained. The dependence of the radiated field and the input efficiency onthe power are discussed numerically.
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