Accurate Modeling of Wavelength Conversion by Dynamic Tuning of a Dielectric Cavity

Yoshinori INOUE; Hisayoshi FUJIKAWA

doi:10.1587/transele.E97.C.645

Accurate Modeling of Wavelength Conversion by Dynamic Tuning of a Dielectric Cavity

Yoshinori INOUE, Hisayoshi FUJIKAWA

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We propose an accurate modeling of the wavelength conversion process by dynamic tuning of a dielectric cavity. Since the process involves the long-distance propagation of light, the finite-difference time-domain (FDTD) method is not suitable for modeling of the wavelength conversion process owing to the numerical dispersion error of the FDTD method. The proposed modeling is based on the constrained interpolation profile (CIP) method, which was developed in the field of computational fluid dynamics for the purpose of reducing considerably the numerical dispersion error, and is formulated for a one-dimensional problem using an interpolation function of a higher order than that used in the original CIP method. Numerical experiments reveal that the proposed method can achieve accurate prediction of the wavelength conversion process even with a coarse grid model and is superior to both the original CIP method and the FDTD method.

Publication: IEICE TRANSACTIONS on Electronics Vol.E97-C No.7 pp.645-652

Publication Date: 2014/07/01

Publicized

Online ISSN: 1745-1353

DOI: 10.1587/transele.E97.C.645

Type of Manuscript: Special Section PAPER (Special Section on Recent Advances in Simulation Techniques and Their Applications for Electronics)

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Authors

Yoshinori INOUE
Toyota Central R&D Laboratories, Inc.
Hisayoshi FUJIKAWA
Toyota Central R&D Laboratories, Inc.

Keyword

Finite difference methods, Nonlinear optics, Optical wavelength conversion, Numerical analysis

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Yoshinori INOUE, Hisayoshi FUJIKAWA, "Accurate Modeling of Wavelength Conversion by Dynamic Tuning of a Dielectric Cavity" in IEICE TRANSACTIONS on Electronics, vol. E97-C, no. 7, pp. 645-652, July 2014, doi: 10.1587/transele.E97.C.645.
Abstract: We propose an accurate modeling of the wavelength conversion process by dynamic tuning of a dielectric cavity. Since the process involves the long-distance propagation of light, the finite-difference time-domain (FDTD) method is not suitable for modeling of the wavelength conversion process owing to the numerical dispersion error of the FDTD method. The proposed modeling is based on the constrained interpolation profile (CIP) method, which was developed in the field of computational fluid dynamics for the purpose of reducing considerably the numerical dispersion error, and is formulated for a one-dimensional problem using an interpolation function of a higher order than that used in the original CIP method. Numerical experiments reveal that the proposed method can achieve accurate prediction of the wavelength conversion process even with a coarse grid model and is superior to both the original CIP method and the FDTD method.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/transele.E97.C.645/_p

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@ARTICLE{e97-c_7_645,
author={Yoshinori INOUE, Hisayoshi FUJIKAWA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Accurate Modeling of Wavelength Conversion by Dynamic Tuning of a Dielectric Cavity},
year={2014},
volume={E97-C},
number={7},
pages={645-652},
abstract={We propose an accurate modeling of the wavelength conversion process by dynamic tuning of a dielectric cavity. Since the process involves the long-distance propagation of light, the finite-difference time-domain (FDTD) method is not suitable for modeling of the wavelength conversion process owing to the numerical dispersion error of the FDTD method. The proposed modeling is based on the constrained interpolation profile (CIP) method, which was developed in the field of computational fluid dynamics for the purpose of reducing considerably the numerical dispersion error, and is formulated for a one-dimensional problem using an interpolation function of a higher order than that used in the original CIP method. Numerical experiments reveal that the proposed method can achieve accurate prediction of the wavelength conversion process even with a coarse grid model and is superior to both the original CIP method and the FDTD method.},
keywords={},
doi={10.1587/transele.E97.C.645},
ISSN={1745-1353},
month={July},}

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TY - JOUR
TI - Accurate Modeling of Wavelength Conversion by Dynamic Tuning of a Dielectric Cavity
T2 - IEICE TRANSACTIONS on Electronics
SP - 645
EP - 652
AU - Yoshinori INOUE
AU - Hisayoshi FUJIKAWA
PY - 2014
DO - 10.1587/transele.E97.C.645
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E97-C
IS - 7
JA - IEICE TRANSACTIONS on Electronics
Y1 - July 2014
AB - We propose an accurate modeling of the wavelength conversion process by dynamic tuning of a dielectric cavity. Since the process involves the long-distance propagation of light, the finite-difference time-domain (FDTD) method is not suitable for modeling of the wavelength conversion process owing to the numerical dispersion error of the FDTD method. The proposed modeling is based on the constrained interpolation profile (CIP) method, which was developed in the field of computational fluid dynamics for the purpose of reducing considerably the numerical dispersion error, and is formulated for a one-dimensional problem using an interpolation function of a higher order than that used in the original CIP method. Numerical experiments reveal that the proposed method can achieve accurate prediction of the wavelength conversion process even with a coarse grid model and is superior to both the original CIP method and the FDTD method.
ER -