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.     «

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 e...     »

2D dielectric waveguide beam splitters, algorithm sub-gridding capability, biorthogonal interpolating functions, computational efficiency improvement, computational electromagnetics, computational requirement reduction, electrically large dielectric waveguides, electromagnetic field modeling, inhomogeneous media, interpolation, Maxwell equations, optical beam splitters, optical beam-splitter numerical modeling, optical waveguide system dimensions, optical waveguide theory, time dependent Maxwell equations solution, time-domain analysis, time-domain wavelet-collocation techniques, wavelet transforms     «

2D dielectric waveguide beam splitters, algorithm sub-gridding capability, biorthogonal interpolating functions, computational efficiency improvement, computational electromagnetics, computational requirement reduction, electrically large dielectric waveguides, electromagnetic field modeling, inhomogeneous media, interpolation, Maxwell equations, optical beam splitters, optical beam-splitter numerical modeling, optical waveguide system dimensions, optical waveguide theory, time dependent Maxwell...     »