Accurate Solution of the Paraxial Wave Equation Using Richardson Extrapolation

V. R. Chinni; C. R. Menyuk; P. K.A. Wai

doi:10.1109/68.275502

Accurate Solution of the Paraxial Wave Equation Using Richardson Extrapolation

V. R. Chinni, C. R. Menyuk, P. K.A. Wai

Research output: Journal article publication › Journal article › Academic research › peer-review

10 Citations (Scopus)

Abstract

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 10¹¹or better are obtained.

Original language	English
Pages (from-to)	409-411
Number of pages	3
Journal	IEEE Photonics Technology Letters
Volume	6
Issue number	3
DOIs	https://doi.org/10.1109/68.275502
Publication status	Published - Mar 1994
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Electrical and Electronic Engineering

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10.1109/68.275502

Cite this

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abstract = "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 1011or better are obtained.",

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N2 - 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 1011or better are obtained.

AB - 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 1011or better are obtained.

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Accurate Solution of the Paraxial Wave Equation Using Richardson Extrapolation

Abstract

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