Hybrid implicit-explicit FDTD scheme for solving the scalar wave equation in non-linear optical waveguides

Vien Van; Sujeet K. Chaudhuri; Sai T. Chu

doi:10.1109/APS.1997.630167

Hybrid implicit-explicit FDTD scheme for solving the scalar wave equation in non-linear optical waveguides

Vien Van, Sujeet K. Chaudhuri, Sai T. Chu

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Citations (Scopus)

Abstract

Because of its versatility the Finite-Difference Time-Domain (FDTD) method has become the method of choice for solving electromagnetic propagation and scattering problems. Extension of the method to handle non-linear media has also been reported, but potential problems with stability and model accuracy may arise due to the usage of explicit discretization. A hybrid implicit-explicit FDTD scheme is proposed which eliminates these problems in regions of non-linear media while retaining the computational simplicity of the explicit scheme in linear regions. Preliminary simulation results for a non-linear slab waveguide are presented and compared with those obtained from a purely explicit scheme.

Original language	English
Pages (from-to)	372-375
Journal	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume	1
DOIs	https://doi.org/10.1109/APS.1997.630167
Publication status	Published - 1997
Externally published	Yes
Event	IEEE Antennas and Propagation Society International Symposium 1997 - Montreal, Can Duration: 13 Jul 1997 → 18 Jul 1997

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title = "Hybrid implicit-explicit FDTD scheme for solving the scalar wave equation in non-linear optical waveguides",

abstract = "Because of its versatility the Finite-Difference Time-Domain (FDTD) method has become the method of choice for solving electromagnetic propagation and scattering problems. Extension of the method to handle non-linear media has also been reported, but potential problems with stability and model accuracy may arise due to the usage of explicit discretization. A hybrid implicit-explicit FDTD scheme is proposed which eliminates these problems in regions of non-linear media while retaining the computational simplicity of the explicit scheme in linear regions. Preliminary simulation results for a non-linear slab waveguide are presented and compared with those obtained from a purely explicit scheme.",

author = "Vien Van and Chaudhuri, {Sujeet K.} and Chu, {Sai T.}",

year = "1997",

doi = "10.1109/APS.1997.630167",

language = "English",

volume = "1",

pages = "372--375",

journal = "IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)",

issn = "0272-4693",

publisher = "IEEE",

note = "IEEE Antennas and Propagation Society International Symposium 1997 ; Conference date: 13-07-1997 Through 18-07-1997",

}

Hybrid implicit-explicit FDTD scheme for solving the scalar wave equation in non-linear optical waveguides. / Van, Vien; Chaudhuri, Sujeet K.; Chu, Sai T.
In: IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), Vol. 1, 1997, p. 372-375.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

TY - JOUR

T1 - Hybrid implicit-explicit FDTD scheme for solving the scalar wave equation in non-linear optical waveguides

AU - Van, Vien

AU - Chaudhuri, Sujeet K.

AU - Chu, Sai T.

PY - 1997

Y1 - 1997

N2 - Because of its versatility the Finite-Difference Time-Domain (FDTD) method has become the method of choice for solving electromagnetic propagation and scattering problems. Extension of the method to handle non-linear media has also been reported, but potential problems with stability and model accuracy may arise due to the usage of explicit discretization. A hybrid implicit-explicit FDTD scheme is proposed which eliminates these problems in regions of non-linear media while retaining the computational simplicity of the explicit scheme in linear regions. Preliminary simulation results for a non-linear slab waveguide are presented and compared with those obtained from a purely explicit scheme.

AB - Because of its versatility the Finite-Difference Time-Domain (FDTD) method has become the method of choice for solving electromagnetic propagation and scattering problems. Extension of the method to handle non-linear media has also been reported, but potential problems with stability and model accuracy may arise due to the usage of explicit discretization. A hybrid implicit-explicit FDTD scheme is proposed which eliminates these problems in regions of non-linear media while retaining the computational simplicity of the explicit scheme in linear regions. Preliminary simulation results for a non-linear slab waveguide are presented and compared with those obtained from a purely explicit scheme.

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U2 - 10.1109/APS.1997.630167

DO - 10.1109/APS.1997.630167

M3 - RGC 21 - Publication in refereed journal

SN - 0272-4693

VL - 1

SP - 372

EP - 375

JO - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

JF - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

T2 - IEEE Antennas and Propagation Society International Symposium 1997

Y2 - 13 July 1997 through 18 July 1997

ER -

Hybrid implicit-explicit FDTD scheme for solving the scalar wave equation in non-linear optical waveguides

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