Title :
Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions
Author :
Hadley, G. Ronald ; Smith, R.E.
Author_Institution :
Sandia Nat. Labs., Albuquerque, NM, USA
fDate :
3/1/1995 12:00:00 AM
Abstract :
We describe a finite difference solution technique for the full-vector waveguide equation based upon the alternating-direction-implicit (ADI) iterative method. Our technique accurately treats dielectric boundaries (including corners), requires minimal computer resources, and executes faster (by factors of 3-10) than other iterative approaches. In addition, we employ a transparent boundary condition that effectively removes the sensitivity of the calculated results to the size of the computational domain. This feature greatly facilitates the examination of modes near cutoff
Keywords :
boundary-value problems; finite difference methods; iterative methods; modelling; optical waveguide theory; sensitivity; transparency; vectors; alternating-direction-implicit iterative method; computational domain; computer resources; corners; dielectric boundaries; finite difference solution technique; full-vector waveguide equation; full-vector waveguide modeling; iterative finite-difference method; near cutoff modes; sensitivity; transparent boundary condition; transparent boundary conditions; waveguide optics numerical modelling; Boundary conditions; Dielectric constant; Equations; Finite difference methods; Iterative methods; Numerical models; Optical design; Optical devices; Optical sensors; Optical waveguides;
Journal_Title :
Lightwave Technology, Journal of
