Title :
New unconditionally stable ADI schemes for the wave equation
Author_Institution :
Dept. of Math., City Univ. of Hong Kong, China
Abstract :
Unconditionally stable ADI (alternating direction implicit) methods are useful in time-domain numerical simulations, when the restriction on the step size in time is too severe if the standard explicit time-domain numerical methods are used. For two dimensional structures, the Maxwell´s equations can be reduced to a scalar wave equation for the TE (transverse electric) or TM (transverse magnetic) polarizations.
Keywords :
Maxwell equations; light polarisation; numerical analysis; time-domain analysis; wave equations; Maxwell´s equation; alternating direction implicit method; scalar wave equation; time-domain numerical simulation; transverse electric polarization; transverse magnetic polarization; two dimensional structure; Differential equations; Finite difference methods; Hydrogen; Mathematics; Maxwell equations; Partial differential equations; Tellurium; Time domain analysis;
Conference_Titel :
Lasers and Electro-Optics, 2003. CLEO/Pacific Rim 2003. The 5th Pacific Rim Conference on
Print_ISBN :
0-7803-7766-4
DOI :
10.1109/CLEOPR.2003.1274571
