Numerical analysis of optical structure using Fourier series expansion method with perfectly matched layer

A numerical approach for transition problem in photonic crystal waveguide is presented using Fourier series expansion method combined with the Chew's perfectly matched layer (PML) scheme. Since the fields inside the PML are described in term of a single complex-coordinate-stretching parameter, the formulation of problems and the matrix equation to be solved become much simpler compared with those based on others PML model. The numerical examples show that the computing cost, calculated accuracy, and convergent speed with the present method have saliently been improved than the usual Fourier series expansion method.