Fourier analysis of high-index-contrast slab waveguide with step discontinuity: An analytical and exact solution

Yijing Chen; Yong Ma; Yicheng Lai; Yingyan Huang; Seng-Tiong Ho

doi:10.1109/PGC.2010.5705983

Fourier analysis of high-index-contrast slab waveguide with step discontinuity: An analytical and exact solution

Yijing Chen^*, Yong Ma, Yicheng Lai, Yingyan Huang, Seng-Tiong Ho

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We propose a novel technique based on Fourier analysis and perturbation theory to describe completely the step discontinuity in a slab waveguide of any index contrast without the need for analytical approximations or assumptions. Through this technique, we derive a spectral overlapping criterion and a coupling matrix that analyzes effectively the roles of the radiation modes in the resultant computation accuracy. A symmetric nano-waveguide with 55.9% index contrast is investigated under normal incident light condition along TE polarization. The total reflectance and the guided power reflectivity are computed at the waveguide-air interface. Results obtained are consistent with the FDTD simulation and only requires very short computational time.

Original language	English (US)
Title of host publication	2010 Photonics Global Conference, PGC 2010
DOIs	https://doi.org/10.1109/PGC.2010.5705983
State	Published - Dec 1 2010
Event	2010 Photonics Global Conference, PGC 2010 - Orchard, Singapore Duration: Dec 14 2010 → Dec 16 2010

Other

Other	2010 Photonics Global Conference, PGC 2010
Country/Territory	Singapore
City	Orchard
Period	12/14/10 → 12/16/10

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Mathematical Physics
Atomic and Molecular Physics, and Optics

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10.1109/PGC.2010.5705983

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title = "Fourier analysis of high-index-contrast slab waveguide with step discontinuity: An analytical and exact solution",

abstract = "We propose a novel technique based on Fourier analysis and perturbation theory to describe completely the step discontinuity in a slab waveguide of any index contrast without the need for analytical approximations or assumptions. Through this technique, we derive a spectral overlapping criterion and a coupling matrix that analyzes effectively the roles of the radiation modes in the resultant computation accuracy. A symmetric nano-waveguide with 55.9% index contrast is investigated under normal incident light condition along TE polarization. The total reflectance and the guided power reflectivity are computed at the waveguide-air interface. Results obtained are consistent with the FDTD simulation and only requires very short computational time.",

author = "Yijing Chen and Yong Ma and Yicheng Lai and Yingyan Huang and Seng-Tiong Ho",

year = "2010",

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T1 - Fourier analysis of high-index-contrast slab waveguide with step discontinuity

T2 - 2010 Photonics Global Conference, PGC 2010

AU - Chen, Yijing

AU - Ma, Yong

AU - Lai, Yicheng

AU - Huang, Yingyan

AU - Ho, Seng-Tiong

PY - 2010/12/1

Y1 - 2010/12/1

N2 - We propose a novel technique based on Fourier analysis and perturbation theory to describe completely the step discontinuity in a slab waveguide of any index contrast without the need for analytical approximations or assumptions. Through this technique, we derive a spectral overlapping criterion and a coupling matrix that analyzes effectively the roles of the radiation modes in the resultant computation accuracy. A symmetric nano-waveguide with 55.9% index contrast is investigated under normal incident light condition along TE polarization. The total reflectance and the guided power reflectivity are computed at the waveguide-air interface. Results obtained are consistent with the FDTD simulation and only requires very short computational time.

AB - We propose a novel technique based on Fourier analysis and perturbation theory to describe completely the step discontinuity in a slab waveguide of any index contrast without the need for analytical approximations or assumptions. Through this technique, we derive a spectral overlapping criterion and a coupling matrix that analyzes effectively the roles of the radiation modes in the resultant computation accuracy. A symmetric nano-waveguide with 55.9% index contrast is investigated under normal incident light condition along TE polarization. The total reflectance and the guided power reflectivity are computed at the waveguide-air interface. Results obtained are consistent with the FDTD simulation and only requires very short computational time.

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DO - 10.1109/PGC.2010.5705983

M3 - Conference contribution

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SN - 9781424498826

BT - 2010 Photonics Global Conference, PGC 2010

Y2 - 14 December 2010 through 16 December 2010

ER -

Fourier analysis of high-index-contrast slab waveguide with step discontinuity: An analytical and exact solution

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