An improved ADI-FDTD method and its application to photonic simulations

Author

Rao, Hongling ; Scarmozzino, Robert ; Osgood, Richard M., Jr.

Author_Institution

Microelectron. Sci. Lab., Columbia Univ., New York, NY, USA

Volume

14

Issue

4

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

477

Lastpage

479

Abstract

When the alternating direction implicit-finite difference time domain method (ADI-FDTD) is applied to simulating photonic devices, full efficiency can not be achieved if reasonable accuracy is to be kept, due to numerical errors such as numerical dispersion. A simple modification to ADI-FDTD is proposed by calculating the envelope rather than the fast-varying field, so that errors are minimized. A factor of two-five in speed can usually be gained while retaining the same level of accuracy compared with conventional FDTD. The efficiency and the accuracy of this improved approach is demonstrated on several problems, from simple waveguide structures to complex photonic crystal structures.

Keywords

error analysis; finite difference time-domain analysis; integrated optics; optical waveguide theory; photonic band gap; accuracy; alternating direction implicit-finite difference time domain method; complex photonic crystal structures; efficiency; envelope; fast-varying field; improved ADI-FDTD method; integrated photonic devices; numerical dispersion; numerical errors; photonic devices; photonic simulations; simple waveguide structures; Computational modeling; Equations; Finite difference methods; Integrated optics; Laboratories; Microelectronics; Numerical stability; Optical computing; Time domain analysis;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.992583

Filename

992583