Optical Modes in Dielectric Thin Film Fiber with Convex Surface <cd02144.gif> by Conformal Mapping Technique

Yasumitsu MIYAZAKI

Optical Modes in Dielectric Thin Film Fiber with Convex Surface by Conformal Mapping Technique

Yasumitsu MIYAZAKI

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Single material fibers made from low loss material may have excellent optical propagation properties related to absorption loss. Thin film fibers with a convex surface have self focussing properties similar to those of inhomogeneous fibers with quadratic index profile. Such optical waveguides seem to be useful for optical communications and integrated optics. By using the method of conformal mapping, fundamental characteristics of guides modes along optical films with a convex surface are found, and field distributions and dispersions of eigen modes that have not been clarified are shown in detail. These guided modes have Hermite Gaussian field distribution in transverse direction. The spot sizes of guided modes are inversely proportional to the square root of the product of their transverse wave number and the metrical coefficients (1a)l_x, where β₁ and β₂ are phase constants of the material and the guided mode respectively. The factors (1a)l_x derived from mapping function and are quadratic coefficients of the convex surface at the fiber boundaries. The dispersion characteristics of the guided modes are discussed and several numerical examples are presented.

Publication: IEICE TRANSACTIONS on transactions Vol.E59-E No.10 pp.1-6

Publication Date: 1976/10/25

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Type of Manuscript: PAPER

Category: Optical and Quantum Electronics

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Yasumitsu MIYAZAKI

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Yasumitsu MIYAZAKI, "Optical Modes in Dielectric Thin Film Fiber with Convex Surface by Conformal Mapping Technique" in IEICE TRANSACTIONS on transactions, vol. E59-E, no. 10, pp. 1-6, October 1976, doi: .
Abstract: Single material fibers made from low loss material may have excellent optical propagation properties related to absorption loss. Thin film fibers with a convex surface have self focussing properties similar to those of inhomogeneous fibers with quadratic index profile. Such optical waveguides seem to be useful for optical communications and integrated optics. By using the method of conformal mapping, fundamental characteristics of guides modes along optical films with a convex surface are found, and field distributions and dispersions of eigen modes that have not been clarified are shown in detail. These guided modes have Hermite Gaussian field distribution in transverse direction. The spot sizes of guided modes are inversely proportional to the square root of the product of their transverse wave number and the metrical coefficients (1a)l_x, where β₁ and β₂ are phase constants of the material and the guided mode respectively. The factors (1a)l_x derived from mapping function and are quadratic coefficients of the convex surface at the fiber boundaries. The dispersion characteristics of the guided modes are discussed and several numerical examples are presented.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e59-e_10_1/_p

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@ARTICLE{e59-e_10_1,
author={Yasumitsu MIYAZAKI, },
journal={IEICE TRANSACTIONS on transactions},
title={Optical Modes in Dielectric Thin Film Fiber with Convex Surface by Conformal Mapping Technique},
year={1976},
volume={E59-E},
number={10},
pages={1-6},
abstract={Single material fibers made from low loss material may have excellent optical propagation properties related to absorption loss. Thin film fibers with a convex surface have self focussing properties similar to those of inhomogeneous fibers with quadratic index profile. Such optical waveguides seem to be useful for optical communications and integrated optics. By using the method of conformal mapping, fundamental characteristics of guides modes along optical films with a convex surface are found, and field distributions and dispersions of eigen modes that have not been clarified are shown in detail. These guided modes have Hermite Gaussian field distribution in transverse direction. The spot sizes of guided modes are inversely proportional to the square root of the product of their transverse wave number and the metrical coefficients (1a)l_x, where β₁ and β₂ are phase constants of the material and the guided mode respectively. The factors (1a)l_x derived from mapping function and are quadratic coefficients of the convex surface at the fiber boundaries. The dispersion characteristics of the guided modes are discussed and several numerical examples are presented.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Optical Modes in Dielectric Thin Film Fiber with Convex Surface by Conformal Mapping Technique
T2 - IEICE TRANSACTIONS on transactions
SP - 1
EP - 6
AU - Yasumitsu MIYAZAKI
PY - 1976
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E59-E
IS - 10
JA - IEICE TRANSACTIONS on transactions
Y1 - October 1976
AB - Single material fibers made from low loss material may have excellent optical propagation properties related to absorption loss. Thin film fibers with a convex surface have self focussing properties similar to those of inhomogeneous fibers with quadratic index profile. Such optical waveguides seem to be useful for optical communications and integrated optics. By using the method of conformal mapping, fundamental characteristics of guides modes along optical films with a convex surface are found, and field distributions and dispersions of eigen modes that have not been clarified are shown in detail. These guided modes have Hermite Gaussian field distribution in transverse direction. The spot sizes of guided modes are inversely proportional to the square root of the product of their transverse wave number and the metrical coefficients (1a)l_x, where β₁ and β₂ are phase constants of the material and the guided mode respectively. The factors (1a)l_x derived from mapping function and are quadratic coefficients of the convex surface at the fiber boundaries. The dispersion characteristics of the guided modes are discussed and several numerical examples are presented.
ER -