A Formula Giving Cutoff Frequencies of Modes in an Optical Fiber Having Arbitrary Refractive-Index Profile

Kazuo HOTATE; Takanori OKOSHI

A Formula Giving Cutoff Frequencies of Modes in an Optical Fiber Having Arbitrary Refractive-Index Profile

Kazuo HOTATE, Takanori OKOSHI

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A general formula giving cutoff frequencies of modes in an optical fiber having an arbitrary refractive-index profile is derived from the stationary expression of the propagation constant. It is found that the cutoff frequency is inversely proportional to the square root of the overlap integral of the refactive-index and mode-power profiles. From this general formula, an approximate formula for actual calculation is derived, which is relatively accurate when applied to lower order modes. The single-mode condition (cutoff frequency of LP₁₁ mode) can be calculated with a good accuracy using this approximate formula. The single-mode limits computed for some practical nonuniform-core profiles show good agreement with rigorous values.

Publication: IEICE TRANSACTIONS on transactions Vol.E62-E No.1 pp.1-6

Publication Date: 1979/01/25

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Type of Manuscript: PAPER

Category: Optical and Quantum Electronics

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Kazuo HOTATE
Takanori OKOSHI

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Kazuo HOTATE, Takanori OKOSHI, "A Formula Giving Cutoff Frequencies of Modes in an Optical Fiber Having Arbitrary Refractive-Index Profile" in IEICE TRANSACTIONS on transactions, vol. E62-E, no. 1, pp. 1-6, January 1979, doi: .
Abstract: A general formula giving cutoff frequencies of modes in an optical fiber having an arbitrary refractive-index profile is derived from the stationary expression of the propagation constant. It is found that the cutoff frequency is inversely proportional to the square root of the overlap integral of the refactive-index and mode-power profiles. From this general formula, an approximate formula for actual calculation is derived, which is relatively accurate when applied to lower order modes. The single-mode condition (cutoff frequency of LP₁₁ mode) can be calculated with a good accuracy using this approximate formula. The single-mode limits computed for some practical nonuniform-core profiles show good agreement with rigorous values.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e62-e_1_1/_p

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@ARTICLE{e62-e_1_1,
author={Kazuo HOTATE, Takanori OKOSHI, },
journal={IEICE TRANSACTIONS on transactions},
title={A Formula Giving Cutoff Frequencies of Modes in an Optical Fiber Having Arbitrary Refractive-Index Profile},
year={1979},
volume={E62-E},
number={1},
pages={1-6},
abstract={A general formula giving cutoff frequencies of modes in an optical fiber having an arbitrary refractive-index profile is derived from the stationary expression of the propagation constant. It is found that the cutoff frequency is inversely proportional to the square root of the overlap integral of the refactive-index and mode-power profiles. From this general formula, an approximate formula for actual calculation is derived, which is relatively accurate when applied to lower order modes. The single-mode condition (cutoff frequency of LP₁₁ mode) can be calculated with a good accuracy using this approximate formula. The single-mode limits computed for some practical nonuniform-core profiles show good agreement with rigorous values.},
keywords={},
doi={},
ISSN={},
month={January},}

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TY - JOUR
TI - A Formula Giving Cutoff Frequencies of Modes in an Optical Fiber Having Arbitrary Refractive-Index Profile
T2 - IEICE TRANSACTIONS on transactions
SP - 1
EP - 6
AU - Kazuo HOTATE
AU - Takanori OKOSHI
PY - 1979
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E62-E
IS - 1
JA - IEICE TRANSACTIONS on transactions
Y1 - January 1979
AB - A general formula giving cutoff frequencies of modes in an optical fiber having an arbitrary refractive-index profile is derived from the stationary expression of the propagation constant. It is found that the cutoff frequency is inversely proportional to the square root of the overlap integral of the refactive-index and mode-power profiles. From this general formula, an approximate formula for actual calculation is derived, which is relatively accurate when applied to lower order modes. The single-mode condition (cutoff frequency of LP₁₁ mode) can be calculated with a good accuracy using this approximate formula. The single-mode limits computed for some practical nonuniform-core profiles show good agreement with rigorous values.
ER -