Accurate solution of the paraxial wave equation using Richardson extrapolation

Journal Article · Tue Mar 01 04:00:00 EST 1994 · IEEE Photonics Technology Letters (Institute of Electrical and Electronics Engineers); (United States)

DOI:https://doi.org/10.1109/68.275502· OSTI ID:7228667

Chinni, V R; Menyuk, C R ^[1]; Wai, P K.A. ^[2]

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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

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.

• OSTI ID: 7228667
• Journal Information: IEEE Photonics Technology Letters (Institute of Electrical and Electronics Engineers); (United States), Journal Name: IEEE Photonics Technology Letters (Institute of Electrical and Electronics Engineers); (United States) Vol. 6:3; ISSN 1041-1135; ISSN IPTLEL
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
426000* -- Engineering-- Components
Electron Devices & Circuits-- (1990-)
DATA
DIFFERENTIAL EQUATIONS
ELECTRONIC CIRCUITS
EQUATIONS
INFORMATION
INTEGRATED CIRCUITS
MICROELECTRONIC CIRCUITS
NUMERICAL DATA
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
THEORETICAL DATA
WAVE EQUATIONS
WAVE PROPAGATION
WAVEGUIDES