An Exact Analysis of Cylindrical Fiber with Index Distribution by Matrix Method and Its Application to Focusing Fiber

Tsuneo TANAKA; Yasuharu SUEMATSU

An Exact Analysis of Cylindrical Fiber with Index Distribution by Matrix Method and Its Application to Focusing Fiber

Tsuneo TANAKA, Yasuharu SUEMATSU

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A method of exact analysis for the cylindrical fiber with an arbitrary but azimuthally symmetric refractive-index distribution is given. The index distribution is simulated by a multilayer structure and the analysis is formulated exactly by using iterative multiplication of four by four matrices. Then the four by four matrices are approximately separated into two systems of two by two matrices with a good accuracy for the fiber with small index difference. In this way, the computing time is reduced almost 1/6 times compared with the former method. As an example of the application, the propagation modes of a focusing fiber are identified which previously were not exactly known. It is revealed that the group-velocity differences between the modes which are degenerate in the scalar analysis can be larger than those of the non-degenerate modes.

Publication: IEICE TRANSACTIONS on transactions Vol.E59-E No.11 pp.1-8

Publication Date: 1976/11/25

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Type of Manuscript: PAPER

Category: Optical and Quantum Electronics

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Tsuneo TANAKA
Yasuharu SUEMATSU

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Tsuneo TANAKA, Yasuharu SUEMATSU, "An Exact Analysis of Cylindrical Fiber with Index Distribution by Matrix Method and Its Application to Focusing Fiber" in IEICE TRANSACTIONS on transactions, vol. E59-E, no. 11, pp. 1-8, November 1976, doi: .
Abstract: A method of exact analysis for the cylindrical fiber with an arbitrary but azimuthally symmetric refractive-index distribution is given. The index distribution is simulated by a multilayer structure and the analysis is formulated exactly by using iterative multiplication of four by four matrices. Then the four by four matrices are approximately separated into two systems of two by two matrices with a good accuracy for the fiber with small index difference. In this way, the computing time is reduced almost 1/6 times compared with the former method. As an example of the application, the propagation modes of a focusing fiber are identified which previously were not exactly known. It is revealed that the group-velocity differences between the modes which are degenerate in the scalar analysis can be larger than those of the non-degenerate modes.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e59-e_11_1/_p

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@ARTICLE{e59-e_11_1,
author={Tsuneo TANAKA, Yasuharu SUEMATSU, },
journal={IEICE TRANSACTIONS on transactions},
title={An Exact Analysis of Cylindrical Fiber with Index Distribution by Matrix Method and Its Application to Focusing Fiber},
year={1976},
volume={E59-E},
number={11},
pages={1-8},
abstract={A method of exact analysis for the cylindrical fiber with an arbitrary but azimuthally symmetric refractive-index distribution is given. The index distribution is simulated by a multilayer structure and the analysis is formulated exactly by using iterative multiplication of four by four matrices. Then the four by four matrices are approximately separated into two systems of two by two matrices with a good accuracy for the fiber with small index difference. In this way, the computing time is reduced almost 1/6 times compared with the former method. As an example of the application, the propagation modes of a focusing fiber are identified which previously were not exactly known. It is revealed that the group-velocity differences between the modes which are degenerate in the scalar analysis can be larger than those of the non-degenerate modes.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - An Exact Analysis of Cylindrical Fiber with Index Distribution by Matrix Method and Its Application to Focusing Fiber
T2 - IEICE TRANSACTIONS on transactions
SP - 1
EP - 8
AU - Tsuneo TANAKA
AU - Yasuharu SUEMATSU
PY - 1976
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E59-E
IS - 11
JA - IEICE TRANSACTIONS on transactions
Y1 - November 1976
AB - A method of exact analysis for the cylindrical fiber with an arbitrary but azimuthally symmetric refractive-index distribution is given. The index distribution is simulated by a multilayer structure and the analysis is formulated exactly by using iterative multiplication of four by four matrices. Then the four by four matrices are approximately separated into two systems of two by two matrices with a good accuracy for the fiber with small index difference. In this way, the computing time is reduced almost 1/6 times compared with the former method. As an example of the application, the propagation modes of a focusing fiber are identified which previously were not exactly known. It is revealed that the group-velocity differences between the modes which are degenerate in the scalar analysis can be larger than those of the non-degenerate modes.
ER -