Abstract

The ability to predict the light propagation characteristics in various practical multimode guiding structures is very important in optical fiber communications and in optical image transfer. The usual mode-by-mode analysis is impractical when the guiding structure is capable of supporting hundreds or thousands of modes. In this study a numerical technique is described which is capable of providing useful data on the propagation characteristics of optical multimode guiding structures whose index of refraction variation may be quite arbitrary. As a specific example, the problem of infinite or truncated Gaussian beam propagation in a radially inhomogeneous fiber with parabolic index profile is solved. The numerical results for the infinite Gaussian beam case are compared with exact analytical data and they are in complete agreement.

© 1978 Optical Society of America

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  1. S. E. Miller, E. A. J. Marcatili, and T. Li, Proc. IEEE 61, 1703 (1973).
  2. E. A. J. Marcatili, Bell. Syst. Tech. J. 48, 2071 (1969); J. E. Goell, ibid., 48, 2133 (1969).
  3. I. G. Dil and H. Blok, Opto-Electronics 5, 415 (1973); P. J. B. Clarricoats and K. B. Chan, Electronics Lett. 6, 694 (1970).
  4. C. Yeh and G. Lindgren, Appl. Opt. 16, (1977) (to be published).
  5. C. Yeh, S. B. Dong, and W. Oliver, J. Appl. Phys. 46, 2125 (1975).
  6. L. W. Casperson, Appl. Opt. 12, 2434 (1973).
  7. H. Kita, I. Kotano, T. Uchida, and M. Furukawa, J. Am. Ceram. Soc. 54, 321 (1971).
  8. W. A. Gambling and H. Matsumura, Opto-Electronics 5, 429 (1973).
  9. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961).
  10. J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, New York, 1968).
  11. M. K. Barnoski, M. D. Rourke, S. M. Jensen, and H. R. Friedrick, "Coupling Components for Single Optical Fibers," presented at IEDM meeting, Washington, D. C., December, 1976 (unpublished).

Barnoski, M. K.

M. K. Barnoski, M. D. Rourke, S. M. Jensen, and H. R. Friedrick, "Coupling Components for Single Optical Fibers," presented at IEDM meeting, Washington, D. C., December, 1976 (unpublished).

Blok, H.

I. G. Dil and H. Blok, Opto-Electronics 5, 415 (1973); P. J. B. Clarricoats and K. B. Chan, Electronics Lett. 6, 694 (1970).

Casperson, L. W.

L. W. Casperson, Appl. Opt. 12, 2434 (1973).

Dil, I. G.

I. G. Dil and H. Blok, Opto-Electronics 5, 415 (1973); P. J. B. Clarricoats and K. B. Chan, Electronics Lett. 6, 694 (1970).

Dong, S. B.

C. Yeh, S. B. Dong, and W. Oliver, J. Appl. Phys. 46, 2125 (1975).

Friedrick, H. R.

M. K. Barnoski, M. D. Rourke, S. M. Jensen, and H. R. Friedrick, "Coupling Components for Single Optical Fibers," presented at IEDM meeting, Washington, D. C., December, 1976 (unpublished).

Furukawa, M.

H. Kita, I. Kotano, T. Uchida, and M. Furukawa, J. Am. Ceram. Soc. 54, 321 (1971).

Gambling, W. A.

W. A. Gambling and H. Matsumura, Opto-Electronics 5, 429 (1973).

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, New York, 1968).

Jensen, S. M.

M. K. Barnoski, M. D. Rourke, S. M. Jensen, and H. R. Friedrick, "Coupling Components for Single Optical Fibers," presented at IEDM meeting, Washington, D. C., December, 1976 (unpublished).

Kita, H.

H. Kita, I. Kotano, T. Uchida, and M. Furukawa, J. Am. Ceram. Soc. 54, 321 (1971).

Kotano, I.

H. Kita, I. Kotano, T. Uchida, and M. Furukawa, J. Am. Ceram. Soc. 54, 321 (1971).

Li, T.

S. E. Miller, E. A. J. Marcatili, and T. Li, Proc. IEEE 61, 1703 (1973).

Lindgren, G.

C. Yeh and G. Lindgren, Appl. Opt. 16, (1977) (to be published).

Marcatili, E. A. J.

E. A. J. Marcatili, Bell. Syst. Tech. J. 48, 2071 (1969); J. E. Goell, ibid., 48, 2133 (1969).

S. E. Miller, E. A. J. Marcatili, and T. Li, Proc. IEEE 61, 1703 (1973).

Matsumura, H.

W. A. Gambling and H. Matsumura, Opto-Electronics 5, 429 (1973).

Miller, S. E.

S. E. Miller, E. A. J. Marcatili, and T. Li, Proc. IEEE 61, 1703 (1973).

Oliver, W.

C. Yeh, S. B. Dong, and W. Oliver, J. Appl. Phys. 46, 2125 (1975).

Rourke, M. D.

M. K. Barnoski, M. D. Rourke, S. M. Jensen, and H. R. Friedrick, "Coupling Components for Single Optical Fibers," presented at IEDM meeting, Washington, D. C., December, 1976 (unpublished).

Tatarski, V. I.

V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961).

Uchida, T.

H. Kita, I. Kotano, T. Uchida, and M. Furukawa, J. Am. Ceram. Soc. 54, 321 (1971).

Yeh, C.

C. Yeh, S. B. Dong, and W. Oliver, J. Appl. Phys. 46, 2125 (1975).

C. Yeh and G. Lindgren, Appl. Opt. 16, (1977) (to be published).

Other

S. E. Miller, E. A. J. Marcatili, and T. Li, Proc. IEEE 61, 1703 (1973).

E. A. J. Marcatili, Bell. Syst. Tech. J. 48, 2071 (1969); J. E. Goell, ibid., 48, 2133 (1969).

I. G. Dil and H. Blok, Opto-Electronics 5, 415 (1973); P. J. B. Clarricoats and K. B. Chan, Electronics Lett. 6, 694 (1970).

C. Yeh and G. Lindgren, Appl. Opt. 16, (1977) (to be published).

C. Yeh, S. B. Dong, and W. Oliver, J. Appl. Phys. 46, 2125 (1975).

L. W. Casperson, Appl. Opt. 12, 2434 (1973).

H. Kita, I. Kotano, T. Uchida, and M. Furukawa, J. Am. Ceram. Soc. 54, 321 (1971).

W. A. Gambling and H. Matsumura, Opto-Electronics 5, 429 (1973).

V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961).

J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, New York, 1968).

M. K. Barnoski, M. D. Rourke, S. M. Jensen, and H. R. Friedrick, "Coupling Components for Single Optical Fibers," presented at IEDM meeting, Washington, D. C., December, 1976 (unpublished).

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