Interpolating wavelet collocation method of time dependent Maxwell’s equations: characterization of electrically large optical waveguide discontinuities

Biorthogonal interpolating wavelets have been applied to electromagnetic field modeling through the wavelet collocation method in time domain, yielding a versatile first-principle algorithm for the solution of time dependent Maxwell’s equations with inhomogeneous media. The resulting scheme maintains high accuracy, while, by virtue of its sub-gridding capability, significant reduction of the computational expenditure has been obtained. The proposed method has been applied to the analysis of two-dimensional dielectric waveguide discontinuities. Particularly for the modeling of electrically large optical waveguides, where the dimension of the analyzed structure is much larger than the wavelength of the highest frequency content of the transmitted signal, the proposed method has been proven to be highly efficient compared to the standard finite-difference method.