Title :
Novel Auxiliary Differential Equation-Multiresolution Time Domain Scheme for Dispersive Nonlinear Photonic Devices
Author :
Obayya, Salah S A
Author_Institution :
Fac. of Adv. Technol., Univ. of Glamorgan, Pontypridd, UK
fDate :
5/1/2010 12:00:00 AM
Abstract :
In this paper, a novel multiresolution time-domain (MRTD) technique is presented for the analysis of second order nonlinearities in dispersive materials. The suggested method implements multiresolution analysis in the context of method-of-moments for the solution of Maxwell´s equations. Based on Lorentz model of linear susceptibility, auxiliary differential equations (ADE) are successfully included in order to accurately account for the chromatic dispersion of the dielectric material. Finally, a uniaxial perfectly matched layers (UPML) absorber for MRTD is rigorously incorporated. Various numerical examples demonstrate the stability and numerical precision of the suggested nonlinear MRTD method and its improved numerical efficiency over conventional FDTD.
Keywords :
differential equations; nonlinear optics; optical dispersion; optical harmonic generation; optical susceptibility; time-domain analysis; Lorentz model; Maxwell equations; auxiliary differential equation; chromatic dispersion; dispersive materials; dispersive nonlinear photonic devices; linear susceptibility; multiresolution time domain; second harmonic generation; uniaxial perfectly matched layers; Chromatic dispersion; Dielectric materials; Differential equations; Maxwell equations; Moment methods; Multiresolution analysis; Nonlinear equations; Numerical stability; Perfectly matched layers; Time domain analysis; Auxiliary differential equation (ADE); dispersion analysis; high-index contrast grating; multiresolution time domain (MRTD); photonic devices; second harmonic generation (SHG);
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2009.2039465
