Title :
Discontinuous galerkin time domain (DGTD) methods for the study of 2-D waveguide-coupled microring resonators
Author :
Ji, Xia ; Lu, Tiao ; Cai, Wei ; Zhang, Pingwen
Author_Institution :
LMAM & Sch. of Math. Sci., Peking Univ., Beijing, China
Abstract :
This paper presents the study of coupling efficiencies between two-dimensional (2-D) waveguides and microring resonators with a newly developed high-order discontinuous Galerkin time domain (DGTD) method for Maxwell´s equations. The DGTD method is based on a unified formulation for the physical media and the artificial media in the uniaxial perfectly matched layer (UPML) regions used to truncate the computational domain. The DGTD method employs finite element type meshes and uses piecewise high-order polynomials for spatial discretization of the Maxwell´s equations and Runge-Kutta methods for time integration. After demonstrating the high-order convergence of the DGTD method, the effect of separation gap between the waveguides and one and two microrings on the coupling efficiency and transmittance for pulse propagations is studied.
Keywords :
Galerkin method; Maxwell equations; Runge-Kutta methods; convergence of numerical methods; coupled mode analysis; mesh generation; micro-optics; microcavities; optical resonators; optical waveguide theory; 2-D waveguide-coupled microring resonators; Maxwell equations; Runge-Kutta methods; convergence; coupling efficiency; discontinuous Galerkin time domain; finite element type mesh; transmittance; uniaxial perfectly matched layer; Convergence; Finite difference methods; Maxwell equations; Moment methods; Optical resonators; Optical scattering; Optical waveguides; Perfectly matched layers; Two dimensional displays; Waveguide discontinuities; Discontinuous Galerkin time domain (DGTD); Maxwell´s equations; microring resonators; uniaxial perfectly matched layer (UPML);
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2005.855858
