Numerical modeling of an optical beam-splitter by the time-domain wavelet-collocation technique

Biorthogonal interpolating functions have been applied to electromagnetic field modeling through the wavelet-collocation technique in the time domain, yielding a versatile first-principle algorithm for the solution of time dependent Maxwell´s equations with inhomogeneous media. The resulting technique is rigorous and maintains high accuracy, while, by virtue of its sub-gridding capability, significant reduction of the computational requirement has been obtained particularly for the modeling of electrically large dielectric waveguides. The proposed technique has been applied to a two dimensional dielectric waveguide beam splitter, with dimensions typical of optical waveguide systems, and improvement in the computational efficiency has been demonstrated.