Abstract

A vector wave analysis is presented of a multimode optical fiber with an <i>a</i>-power law index profile that includes an additional fourth-order term. By optimizing <i>a</i> and the coefficient of the fourth-order term, the ultimate limit of the width of the impulse response is derived. The effect of the second-order material dispersion of the refractive index is completely compensated by the fourth-order term in the index distribution. As a result, the rms width of the impulse response is reduced to 20 ps/km, one-fifth of the value achievable with the ordinary <i>a</i>-power distribution, even if all modes carry equal power and there is no mode coupling. For a fiber whose normalized frequency is less than 40, the ultimate width of the impulse response is determined by the term with the gradient of the square of the index or ▽<i>n</i><sup>2</sup> in the wave equation.

© 1978 Optical Society of America

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  1. Y. Suematsu and K. Iga, J. Institute of Electronics and Communication Engineers of Japan 49, 59 (1966).
  2. S. Kawakami and J. Nishizawa, IEEE Trans. Microwave Theory Tech. MTT-16, 814 (1968).
  3. Y. Suematsu and K. Furuya, Institute of Electronics and Communication Engineers of Japan Trans. 54-B, 325 (1971).
  4. D. Gloge and E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1973).
  5. T. Okoshi and K. Okamoto, IEEE Trans. Microwave Theory Tech. MTT-22, 938 (1974).
  6. R. Olshansky and K. B. Keck, Appl. Opt. 15, 48 (1976).
  7. J. A. Arnaud, Electron. Lett. 12, 167 (1976).
  8. R. Bouillie, A. Cozannet, K. H. Steiner, and M. Treheux, Appl. Opt. 13, 1045 (1974).
  9. Y. Suematsu and K. Furuya, IECE Trans. 57-C, 289 (1974).
  10. M. Matsuhara, J. Opt. Soc. Am. 63, 135 (1973).
  11. D. Marcuse, IEEE J. Quantum Electron. QE-9, 958 (1973).
  12. Y. Miyazaki, AEU 29, 205 (1975).
  13. K. Furuya, Y. Suematsu, T. Tanaka, and S. Ishikawa, IEEE-MTT-S 2.5, International Microwave Symposium, Cherry Hill, New Jersey, June (1976).
  14. K. Okamoto and T. Okoshi, IEEE Trans. Microwave Theory Tech. MTT-24, 416 (1976).
  15. N. S. Kapany and J. J. Burke, Optical Waveguides, Quantum Electronics-Principles and Application (Academic, New York, 1971), p. 90.
  16. Y. Suematsu and Y. Fukinuki, J. Institute of Electronics and Communication Engineers of Japan 48, 1684 (1965).
  17. T. Tanaka and Y. Suematsu, Institute of Electronics and Communication Engineers of Japan Trans. E-59, 1 (1976).
  18. D. Gloge, Appl. Opt. 10, 2252 (1971).
  19. E. A. J. Marcatili, Bell Syst. Tech. J. 56, 49 (1977).

Arnaud, J. A.

J. A. Arnaud, Electron. Lett. 12, 167 (1976).

Bouillie, R.

R. Bouillie, A. Cozannet, K. H. Steiner, and M. Treheux, Appl. Opt. 13, 1045 (1974).

Burke, J. J.

N. S. Kapany and J. J. Burke, Optical Waveguides, Quantum Electronics-Principles and Application (Academic, New York, 1971), p. 90.

Cozannet, A.

R. Bouillie, A. Cozannet, K. H. Steiner, and M. Treheux, Appl. Opt. 13, 1045 (1974).

Fukinuki, Y.

Y. Suematsu and Y. Fukinuki, J. Institute of Electronics and Communication Engineers of Japan 48, 1684 (1965).

Furuya, K.

Y. Suematsu and K. Furuya, IECE Trans. 57-C, 289 (1974).

K. Furuya, Y. Suematsu, T. Tanaka, and S. Ishikawa, IEEE-MTT-S 2.5, International Microwave Symposium, Cherry Hill, New Jersey, June (1976).

Y. Suematsu and K. Furuya, Institute of Electronics and Communication Engineers of Japan Trans. 54-B, 325 (1971).

Gloge, D.

D. Gloge and E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1973).

D. Gloge, Appl. Opt. 10, 2252 (1971).

Iga, K.

Y. Suematsu and K. Iga, J. Institute of Electronics and Communication Engineers of Japan 49, 59 (1966).

Ishikawa, S.

K. Furuya, Y. Suematsu, T. Tanaka, and S. Ishikawa, IEEE-MTT-S 2.5, International Microwave Symposium, Cherry Hill, New Jersey, June (1976).

Kapany, N. S.

N. S. Kapany and J. J. Burke, Optical Waveguides, Quantum Electronics-Principles and Application (Academic, New York, 1971), p. 90.

Kawakami, S.

S. Kawakami and J. Nishizawa, IEEE Trans. Microwave Theory Tech. MTT-16, 814 (1968).

Keck, K. B.

R. Olshansky and K. B. Keck, Appl. Opt. 15, 48 (1976).

Marcatili, E. A. J.

D. Gloge and E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1973).

E. A. J. Marcatili, Bell Syst. Tech. J. 56, 49 (1977).

Marcuse, D.

D. Marcuse, IEEE J. Quantum Electron. QE-9, 958 (1973).

Matsuhara, M.

M. Matsuhara, J. Opt. Soc. Am. 63, 135 (1973).

Miyazaki, Y.

Y. Miyazaki, AEU 29, 205 (1975).

Nishizawa, J.

S. Kawakami and J. Nishizawa, IEEE Trans. Microwave Theory Tech. MTT-16, 814 (1968).

Okamoto, K.

T. Okoshi and K. Okamoto, IEEE Trans. Microwave Theory Tech. MTT-22, 938 (1974).

K. Okamoto and T. Okoshi, IEEE Trans. Microwave Theory Tech. MTT-24, 416 (1976).

Okoshi, T.

K. Okamoto and T. Okoshi, IEEE Trans. Microwave Theory Tech. MTT-24, 416 (1976).

T. Okoshi and K. Okamoto, IEEE Trans. Microwave Theory Tech. MTT-22, 938 (1974).

Olshansky, R.

R. Olshansky and K. B. Keck, Appl. Opt. 15, 48 (1976).

Steiner, K. H.

R. Bouillie, A. Cozannet, K. H. Steiner, and M. Treheux, Appl. Opt. 13, 1045 (1974).

Suematsu, Y.

Y. Suematsu and K. Iga, J. Institute of Electronics and Communication Engineers of Japan 49, 59 (1966).

Y. Suematsu and K. Furuya, Institute of Electronics and Communication Engineers of Japan Trans. 54-B, 325 (1971).

K. Furuya, Y. Suematsu, T. Tanaka, and S. Ishikawa, IEEE-MTT-S 2.5, International Microwave Symposium, Cherry Hill, New Jersey, June (1976).

Y. Suematsu and K. Furuya, IECE Trans. 57-C, 289 (1974).

Y. Suematsu and Y. Fukinuki, J. Institute of Electronics and Communication Engineers of Japan 48, 1684 (1965).

T. Tanaka and Y. Suematsu, Institute of Electronics and Communication Engineers of Japan Trans. E-59, 1 (1976).

Tanaka, T.

T. Tanaka and Y. Suematsu, Institute of Electronics and Communication Engineers of Japan Trans. E-59, 1 (1976).

K. Furuya, Y. Suematsu, T. Tanaka, and S. Ishikawa, IEEE-MTT-S 2.5, International Microwave Symposium, Cherry Hill, New Jersey, June (1976).

Treheux, M.

R. Bouillie, A. Cozannet, K. H. Steiner, and M. Treheux, Appl. Opt. 13, 1045 (1974).

Other (19)

Y. Suematsu and K. Iga, J. Institute of Electronics and Communication Engineers of Japan 49, 59 (1966).

S. Kawakami and J. Nishizawa, IEEE Trans. Microwave Theory Tech. MTT-16, 814 (1968).

Y. Suematsu and K. Furuya, Institute of Electronics and Communication Engineers of Japan Trans. 54-B, 325 (1971).

D. Gloge and E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1973).

T. Okoshi and K. Okamoto, IEEE Trans. Microwave Theory Tech. MTT-22, 938 (1974).

R. Olshansky and K. B. Keck, Appl. Opt. 15, 48 (1976).

J. A. Arnaud, Electron. Lett. 12, 167 (1976).

R. Bouillie, A. Cozannet, K. H. Steiner, and M. Treheux, Appl. Opt. 13, 1045 (1974).

Y. Suematsu and K. Furuya, IECE Trans. 57-C, 289 (1974).

M. Matsuhara, J. Opt. Soc. Am. 63, 135 (1973).

D. Marcuse, IEEE J. Quantum Electron. QE-9, 958 (1973).

Y. Miyazaki, AEU 29, 205 (1975).

K. Furuya, Y. Suematsu, T. Tanaka, and S. Ishikawa, IEEE-MTT-S 2.5, International Microwave Symposium, Cherry Hill, New Jersey, June (1976).

K. Okamoto and T. Okoshi, IEEE Trans. Microwave Theory Tech. MTT-24, 416 (1976).

N. S. Kapany and J. J. Burke, Optical Waveguides, Quantum Electronics-Principles and Application (Academic, New York, 1971), p. 90.

Y. Suematsu and Y. Fukinuki, J. Institute of Electronics and Communication Engineers of Japan 48, 1684 (1965).

T. Tanaka and Y. Suematsu, Institute of Electronics and Communication Engineers of Japan Trans. E-59, 1 (1976).

D. Gloge, Appl. Opt. 10, 2252 (1971).

E. A. J. Marcatili, Bell Syst. Tech. J. 56, 49 (1977).

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