Abstract

The cutoff problem of TE modes of a radially inhomogeneous optical fiber is transformed into an integral equation by using a Sturm-Liouville-type boundary problem. Three types of approximate formulas for calculating the cutoff frequency of the TE<sub>0 1</sub> mode are derived by calculating the eigen-value of this integral equation. The comparison of the cutoff frequencies calculated by means of these formulas with some exact values indicates that the third approximate formula gives the best accuracy (within 10 <sup>-3</sup>%) and requires only a few seconds of computation time. The effect of the center dip on the cutoff frequency is investigated. The single-mode condition of single-mode fibers with any arbitrary refractive index profile can be obtained with high accuracy.

© 1980 Optical Society of America

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  2. K. Iga, Y. Kokubun, and H. Ono, "A design and experiment for group-delay-difference-free dual mode optical fibers," paper of TGOQE, IECE Japan, No. OQE78-36 (1978).
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1979

K. Hotate and T. Okoshi, "A formula giving cutoff frequencies of modes in an optical fiber having arbitrary refractive-index profile," Trans. IECE Jpn. E62, 1–6 (1979).

1978

K. Iga, Y. Kokubun, and H. Ono, "A design and experiment for group-delay-difference-free dual mode optical fibers," paper of TGOQE, IECE Japan, No. OQE78-36 (1978).

A. Kumar, R. Chanda, R. A. Sammut, and A. K. Ghatak, "Cutoff frequencies of a parabolic-core W-type fiber," Electron. Lett. 14, 676–678 (1978).

1977

W. A. Gambling, P. N. Payne, and H. Matsumura, "Cutoff frequency in radially inhomogeneous single-mode fibre," Electron. Lett. 13, 139–140 (1977).

W. A. Gambling, P. N. Payne, and H. Matsumura, "Effect of dip in the refractive index on the cutoff frequency of a single-mode fiber," Electron. Lett. 13, 174–175 (1977).

J. Sakai and T. Kimura, "Large-core broadband optical fibers," Opt. Lett. 1, 169–171 (1977).

T. I. Lukowsky and F. P. Kapron, "Parabolic fiber cutoffs: A comparison of theories," J. Opt. Soc. Am. 67, 1185–1187 (1977).

1976

S. Kawakami, S. Nishida, and M. Sumi, "Transmission characteristics of W-type optical fibers," Proc. IEE 123, 586–590 (1976).

1961

Chanda, R.

A. Kumar, R. Chanda, R. A. Sammut, and A. K. Ghatak, "Cutoff frequencies of a parabolic-core W-type fiber," Electron. Lett. 14, 676–678 (1978).

Gambling, W. A.

W. A. Gambling, P. N. Payne, and H. Matsumura, "Effect of dip in the refractive index on the cutoff frequency of a single-mode fiber," Electron. Lett. 13, 174–175 (1977).

W. A. Gambling, P. N. Payne, and H. Matsumura, "Cutoff frequency in radially inhomogeneous single-mode fibre," Electron. Lett. 13, 139–140 (1977).

Ghatak, A. K.

A. Kumar, R. Chanda, R. A. Sammut, and A. K. Ghatak, "Cutoff frequencies of a parabolic-core W-type fiber," Electron. Lett. 14, 676–678 (1978).

Hotate, K.

K. Hotate and T. Okoshi, "A formula giving cutoff frequencies of modes in an optical fiber having arbitrary refractive-index profile," Trans. IECE Jpn. E62, 1–6 (1979).

Iga, K.

K. Iga, Y. Kokubun, and H. Ono, "A design and experiment for group-delay-difference-free dual mode optical fibers," paper of TGOQE, IECE Japan, No. OQE78-36 (1978).

Kapron, F. P.

Kawakami, S.

S. Kawakami, S. Nishida, and M. Sumi, "Transmission characteristics of W-type optical fibers," Proc. IEE 123, 586–590 (1976).

Kimura, T.

Kokubun, Y.

K. Iga, Y. Kokubun, and H. Ono, "A design and experiment for group-delay-difference-free dual mode optical fibers," paper of TGOQE, IECE Japan, No. OQE78-36 (1978).

Kondo, J.

J. Kondo, Integral Equations and their Applications (Corona, Tokyo, 1959) (in Japanese).

Kumar, A.

A. Kumar, R. Chanda, R. A. Sammut, and A. K. Ghatak, "Cutoff frequencies of a parabolic-core W-type fiber," Electron. Lett. 14, 676–678 (1978).

Lukowsky, T. I.

Matsumura, H.

W. A. Gambling, P. N. Payne, and H. Matsumura, "Cutoff frequency in radially inhomogeneous single-mode fibre," Electron. Lett. 13, 139–140 (1977).

W. A. Gambling, P. N. Payne, and H. Matsumura, "Effect of dip in the refractive index on the cutoff frequency of a single-mode fiber," Electron. Lett. 13, 174–175 (1977).

Nishida, S.

S. Kawakami, S. Nishida, and M. Sumi, "Transmission characteristics of W-type optical fibers," Proc. IEE 123, 586–590 (1976).

Okoshi, T.

K. Hotate and T. Okoshi, "A formula giving cutoff frequencies of modes in an optical fiber having arbitrary refractive-index profile," Trans. IECE Jpn. E62, 1–6 (1979).

Ono, H.

K. Iga, Y. Kokubun, and H. Ono, "A design and experiment for group-delay-difference-free dual mode optical fibers," paper of TGOQE, IECE Japan, No. OQE78-36 (1978).

Payne, P. N.

W. A. Gambling, P. N. Payne, and H. Matsumura, "Effect of dip in the refractive index on the cutoff frequency of a single-mode fiber," Electron. Lett. 13, 174–175 (1977).

W. A. Gambling, P. N. Payne, and H. Matsumura, "Cutoff frequency in radially inhomogeneous single-mode fibre," Electron. Lett. 13, 139–140 (1977).

Sakai, J.

Sammut, R. A.

A. Kumar, R. Chanda, R. A. Sammut, and A. K. Ghatak, "Cutoff frequencies of a parabolic-core W-type fiber," Electron. Lett. 14, 676–678 (1978).

Snitzer, E.

Sumi, M.

S. Kawakami, S. Nishida, and M. Sumi, "Transmission characteristics of W-type optical fibers," Proc. IEE 123, 586–590 (1976).

Electron. Lett.

A. Kumar, R. Chanda, R. A. Sammut, and A. K. Ghatak, "Cutoff frequencies of a parabolic-core W-type fiber," Electron. Lett. 14, 676–678 (1978).

W. A. Gambling, P. N. Payne, and H. Matsumura, "Cutoff frequency in radially inhomogeneous single-mode fibre," Electron. Lett. 13, 139–140 (1977).

W. A. Gambling, P. N. Payne, and H. Matsumura, "Effect of dip in the refractive index on the cutoff frequency of a single-mode fiber," Electron. Lett. 13, 174–175 (1977).

J. Opt. Soc. Am.

Opt. Lett.

Trans. IECE Jpn.

K. Hotate and T. Okoshi, "A formula giving cutoff frequencies of modes in an optical fiber having arbitrary refractive-index profile," Trans. IECE Jpn. E62, 1–6 (1979).

Other

J. Kondo, Integral Equations and their Applications (Corona, Tokyo, 1959) (in Japanese).

K. Iga, Y. Kokubun, and H. Ono, "A design and experiment for group-delay-difference-free dual mode optical fibers," paper of TGOQE, IECE Japan, No. OQE78-36 (1978).

S. Kawakami, S. Nishida, and M. Sumi, "Transmission characteristics of W-type optical fibers," Proc. IEE 123, 586–590 (1976).

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