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Title: Accurate solution of the paraxial wave equation using Richardson extrapolation

Abstract

Accurate analysis of guided wave devices such as waveguides and couplers is important for the development of optical integrated circuits. Richardson extrapolation is used along with the mid-step Euler finite difference method to solve the paraxial wave equation. Highly accurate solutions can be efficiently obtained using this combined approach. Numerical results are presented for wave propagation in a straight integrated optical waveguide and a Y-junction waveguide. Discretization errors in both the propagation and the transverse dimension can be systematically eliminated by using Richardson extrapolation. Accuracies on the order of 10[sup [minus]11] or better are obtained.

Authors:
;  [1];  [2]
  1. (Univ. of Maryland, Baltimore, MD (United States). Dept. of Electrical Engineering)
  2. (Univ. of Maryland, Baltimore, MD (United States). Dept. of Electrical Engineering Univ. of Maryland, College Park, MD (United States). Lab. of Plasma Research)
Publication Date:
OSTI Identifier:
7228667
Resource Type:
Journal Article
Journal Name:
IEEE Photonics Technology Letters (Institute of Electrical and Electronics Engineers); (United States)
Additional Journal Information:
Journal Volume: 6:3; Journal ID: ISSN 1041-1135
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; WAVE EQUATIONS; NUMERICAL SOLUTION; WAVEGUIDES; WAVE PROPAGATION; INTEGRATED CIRCUITS; THEORETICAL DATA; DATA; DIFFERENTIAL EQUATIONS; ELECTRONIC CIRCUITS; EQUATIONS; INFORMATION; MICROELECTRONIC CIRCUITS; NUMERICAL DATA; PARTIAL DIFFERENTIAL EQUATIONS; 426000* - Engineering- Components, Electron Devices & Circuits- (1990-)

Citation Formats

Chinni, V.R., Menyuk, C.R., and Wai, P.K.A. Accurate solution of the paraxial wave equation using Richardson extrapolation. United States: N. p., 1994. Web. doi:10.1109/68.275502.
Chinni, V.R., Menyuk, C.R., & Wai, P.K.A. Accurate solution of the paraxial wave equation using Richardson extrapolation. United States. doi:10.1109/68.275502.
Chinni, V.R., Menyuk, C.R., and Wai, P.K.A. Tue . "Accurate solution of the paraxial wave equation using Richardson extrapolation". United States. doi:10.1109/68.275502.
@article{osti_7228667,
title = {Accurate solution of the paraxial wave equation using Richardson extrapolation},
author = {Chinni, V.R. and Menyuk, C.R. and Wai, P.K.A.},
abstractNote = {Accurate analysis of guided wave devices such as waveguides and couplers is important for the development of optical integrated circuits. Richardson extrapolation is used along with the mid-step Euler finite difference method to solve the paraxial wave equation. Highly accurate solutions can be efficiently obtained using this combined approach. Numerical results are presented for wave propagation in a straight integrated optical waveguide and a Y-junction waveguide. Discretization errors in both the propagation and the transverse dimension can be systematically eliminated by using Richardson extrapolation. Accuracies on the order of 10[sup [minus]11] or better are obtained.},
doi = {10.1109/68.275502},
journal = {IEEE Photonics Technology Letters (Institute of Electrical and Electronics Engineers); (United States)},
issn = {1041-1135},
number = ,
volume = 6:3,
place = {United States},
year = {1994},
month = {3}
}