Variational Solution of the Power Flow Equation and Its Numerical Results for Random Bends in Graded-Index Optical Fibers

Kohichi TAKEKURA; Kiyohiko ITOH; Tadashi MATSUMOTO

Variational Solution of the Power Flow Equation and Its Numerical Results for Random Bends in Graded-Index Optical Fibers

Kohichi TAKEKURA, Kiyohiko ITOH, Tadashi MATSUMOTO

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The effects of mode coupling in multimode fibers have been reported using coupled power equations of power flow equations, and the good agreement between theoretical and experimental results provides further evidence that the power flow equation is a useful description of the power distribution in a multimode optical fiber. This paper develops a simple formalism to analyze power flow equations with the help of a variational principle. The results can treat not only any mode coupling mechanism involving the previous works and the experimental results but also any input modal distribution, and the good agreement between theoretical and experimental results shows the validity of our theory. As an example of applications, mode coupling due to random bends of the fiber axis is studied in detail, and the mode coupling-induced losses and the steady-state pulse width are calculated.

Publication: IEICE TRANSACTIONS on transactions Vol.E61-E No.10 pp.809-815

Publication Date: 1978/10/25

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Type of Manuscript: PAPER

Category: Optical and Quantum Electronics

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Kohichi TAKEKURA
Kiyohiko ITOH
Tadashi MATSUMOTO

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Kohichi TAKEKURA, Kiyohiko ITOH, Tadashi MATSUMOTO, "Variational Solution of the Power Flow Equation and Its Numerical Results for Random Bends in Graded-Index Optical Fibers" in IEICE TRANSACTIONS on transactions, vol. E61-E, no. 10, pp. 809-815, October 1978, doi: .
Abstract: The effects of mode coupling in multimode fibers have been reported using coupled power equations of power flow equations, and the good agreement between theoretical and experimental results provides further evidence that the power flow equation is a useful description of the power distribution in a multimode optical fiber. This paper develops a simple formalism to analyze power flow equations with the help of a variational principle. The results can treat not only any mode coupling mechanism involving the previous works and the experimental results but also any input modal distribution, and the good agreement between theoretical and experimental results shows the validity of our theory. As an example of applications, mode coupling due to random bends of the fiber axis is studied in detail, and the mode coupling-induced losses and the steady-state pulse width are calculated.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e61-e_10_809/_p

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@ARTICLE{e61-e_10_809,
author={Kohichi TAKEKURA, Kiyohiko ITOH, Tadashi MATSUMOTO, },
journal={IEICE TRANSACTIONS on transactions},
title={Variational Solution of the Power Flow Equation and Its Numerical Results for Random Bends in Graded-Index Optical Fibers},
year={1978},
volume={E61-E},
number={10},
pages={809-815},
abstract={The effects of mode coupling in multimode fibers have been reported using coupled power equations of power flow equations, and the good agreement between theoretical and experimental results provides further evidence that the power flow equation is a useful description of the power distribution in a multimode optical fiber. This paper develops a simple formalism to analyze power flow equations with the help of a variational principle. The results can treat not only any mode coupling mechanism involving the previous works and the experimental results but also any input modal distribution, and the good agreement between theoretical and experimental results shows the validity of our theory. As an example of applications, mode coupling due to random bends of the fiber axis is studied in detail, and the mode coupling-induced losses and the steady-state pulse width are calculated.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Variational Solution of the Power Flow Equation and Its Numerical Results for Random Bends in Graded-Index Optical Fibers
T2 - IEICE TRANSACTIONS on transactions
SP - 809
EP - 815
AU - Kohichi TAKEKURA
AU - Kiyohiko ITOH
AU - Tadashi MATSUMOTO
PY - 1978
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E61-E
IS - 10
JA - IEICE TRANSACTIONS on transactions
Y1 - October 1978
AB - The effects of mode coupling in multimode fibers have been reported using coupled power equations of power flow equations, and the good agreement between theoretical and experimental results provides further evidence that the power flow equation is a useful description of the power distribution in a multimode optical fiber. This paper develops a simple formalism to analyze power flow equations with the help of a variational principle. The results can treat not only any mode coupling mechanism involving the previous works and the experimental results but also any input modal distribution, and the good agreement between theoretical and experimental results shows the validity of our theory. As an example of applications, mode coupling due to random bends of the fiber axis is studied in detail, and the mode coupling-induced losses and the steady-state pulse width are calculated.
ER -