Eigenmode Analysis of Whispering Gallery Modes of Pillbox-Type Optical Resonators Utilizing the FE-BPM Formulation

Anis AHMED; Ryuichi KOYA; Osami WADA; Ming WANG; Ryuji KOGA

Eigenmode Analysis of Whispering Gallery Modes of Pillbox-Type Optical Resonators Utilizing the FE-BPM Formulation

Anis AHMED, Ryuichi KOYA, Osami WADA, Ming WANG, Ryuji KOGA

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To evaluate the radial eigenmode field distributions and the resonance wavelengths of axially symmetric pillbox resonator, a numerical method is described which is based on the FE-BPM expression in cylindrical coordinates. Under the weakly guiding approximation, we solve Fresnel equation and can get a fairly accurate result. By using effective index method, 3-D pillbox guiding structure is reduced to 2-D one which is then used for the analysis. One advantage of this method is that it is applicable for the axially symmetric optical waveguides with arbitrary index distribution. The validity of this method is checked by comparing the results of this method with those of the analytical ones. This method is applied for the evaluation of the coupling properties of a coupled structure consisting of a pillbox resonator and a curved waveguide placed outside the pillbox. This coupled structure has a good prospect to be used as optical wavelength filter. By varying the separation distance between the pillbox and the outer curved waveguide, the power transfer due to coupling is determined near the resonance wavelength 0.9 µm.

Publication: IEICE TRANSACTIONS on Electronics Vol.E78-C No.11 pp.1638-1645

Publication Date: 1995/11/25

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Type of Manuscript: PAPER

Category: Electromagnetic Theory

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Anis AHMED, Ryuichi KOYA, Osami WADA, Ming WANG, Ryuji KOGA, "Eigenmode Analysis of Whispering Gallery Modes of Pillbox-Type Optical Resonators Utilizing the FE-BPM Formulation" in IEICE TRANSACTIONS on Electronics, vol. E78-C, no. 11, pp. 1638-1645, November 1995, doi: .
Abstract: To evaluate the radial eigenmode field distributions and the resonance wavelengths of axially symmetric pillbox resonator, a numerical method is described which is based on the FE-BPM expression in cylindrical coordinates. Under the weakly guiding approximation, we solve Fresnel equation and can get a fairly accurate result. By using effective index method, 3-D pillbox guiding structure is reduced to 2-D one which is then used for the analysis. One advantage of this method is that it is applicable for the axially symmetric optical waveguides with arbitrary index distribution. The validity of this method is checked by comparing the results of this method with those of the analytical ones. This method is applied for the evaluation of the coupling properties of a coupled structure consisting of a pillbox resonator and a curved waveguide placed outside the pillbox. This coupled structure has a good prospect to be used as optical wavelength filter. By varying the separation distance between the pillbox and the outer curved waveguide, the power transfer due to coupling is determined near the resonance wavelength 0.9 µm.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e78-c_11_1638/_p

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@ARTICLE{e78-c_11_1638,
author={Anis AHMED, Ryuichi KOYA, Osami WADA, Ming WANG, Ryuji KOGA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Eigenmode Analysis of Whispering Gallery Modes of Pillbox-Type Optical Resonators Utilizing the FE-BPM Formulation},
year={1995},
volume={E78-C},
number={11},
pages={1638-1645},
abstract={To evaluate the radial eigenmode field distributions and the resonance wavelengths of axially symmetric pillbox resonator, a numerical method is described which is based on the FE-BPM expression in cylindrical coordinates. Under the weakly guiding approximation, we solve Fresnel equation and can get a fairly accurate result. By using effective index method, 3-D pillbox guiding structure is reduced to 2-D one which is then used for the analysis. One advantage of this method is that it is applicable for the axially symmetric optical waveguides with arbitrary index distribution. The validity of this method is checked by comparing the results of this method with those of the analytical ones. This method is applied for the evaluation of the coupling properties of a coupled structure consisting of a pillbox resonator and a curved waveguide placed outside the pillbox. This coupled structure has a good prospect to be used as optical wavelength filter. By varying the separation distance between the pillbox and the outer curved waveguide, the power transfer due to coupling is determined near the resonance wavelength 0.9 µm.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - Eigenmode Analysis of Whispering Gallery Modes of Pillbox-Type Optical Resonators Utilizing the FE-BPM Formulation
T2 - IEICE TRANSACTIONS on Electronics
SP - 1638
EP - 1645
AU - Anis AHMED
AU - Ryuichi KOYA
AU - Osami WADA
AU - Ming WANG
AU - Ryuji KOGA
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E78-C
IS - 11
JA - IEICE TRANSACTIONS on Electronics
Y1 - November 1995
AB - To evaluate the radial eigenmode field distributions and the resonance wavelengths of axially symmetric pillbox resonator, a numerical method is described which is based on the FE-BPM expression in cylindrical coordinates. Under the weakly guiding approximation, we solve Fresnel equation and can get a fairly accurate result. By using effective index method, 3-D pillbox guiding structure is reduced to 2-D one which is then used for the analysis. One advantage of this method is that it is applicable for the axially symmetric optical waveguides with arbitrary index distribution. The validity of this method is checked by comparing the results of this method with those of the analytical ones. This method is applied for the evaluation of the coupling properties of a coupled structure consisting of a pillbox resonator and a curved waveguide placed outside the pillbox. This coupled structure has a good prospect to be used as optical wavelength filter. By varying the separation distance between the pillbox and the outer curved waveguide, the power transfer due to coupling is determined near the resonance wavelength 0.9 µm.
ER -