Abstract

The transfer of information in fibers with a large dispersion of the first order is accomplished by a temporal analog of the self-imaging effect. The simulation of signal propagation in a single-mode fiber is considered by using the analogous Fresnel diffraction experiment.

© 1981 Optical Society of America

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  1. F. P. Kapron and D. B. Keck, "Pulse transmission through a dielectric optical waveguide," Appl. Opt. 10, 1519–1523 (1971).
  2. L. Jeunhomme, M. Fraise, and J. P. Pocholle, "Propagation model for long step-index optical fibers," Appl. Opt. 15, 3040–3046 (1976).
  3. M. Miyagi and S. Nishida, "Pulse spreading in a single-mode fiber due to third-order dispersion," Appl. Opt. 18, 678–682 (1979).
  4. M. Miyagi and S. Nishida, "Pulse spreading in a single-mode optical fiber due to third-order dispersion effect of optical source bandwidth," Appl. Opt. 18, 2237–2240 (1979).
  5. D. Marcuse, "Pulse distortion in single-mode fibers," Appl. Opt. 19, 1653–1660 (1980).
  6. K. Thyagarajan and A. K. Ghatak, "Pulse broadening in optical fibers," Appl. Opt. 16, 2583–2585 (1977).
  7. K. Jurgensen, "Gaussian pulse transmission through monomode fibers," Appl. Opt. 17, 2412–2415 (1978).
  8. W. A. Gambling, T. Matsumura, and C. M. Radgate, "Zero mode dispersion in single mode fibers," Electron. Lett. 14, 618–620 (1978).
  9. L. Smith and E. Snitzer, "Dispersion minimization in dielectric waveguides," Appl. Opt. 12, 1592–1599 (1973).
  10. See P. K. Tien, "Integrated optics and new wave phenomena in optical waveguides," Rev. Mod. Phys. 49, 361–420 (1977), in which the planar waves are called the surface waves.
  11. T. Jannson and J. Sochacki, "Primary aberrations of thin planar surface lenses," J. Opt. Soc. Am. 70, 1079–1084 (1980).
  12. Such a wave may also propagate in air or in a plane waveguide as a linear planar wave (see, e.g., Ref. 11).
  13. The case of an inhomogeneous 1D medium, i.e., n = n(z), may be interesting, but practical realization would be rather difficult.
  14. J. T. Winthrop and C. R. Worthington, "Theory of Fresnel images. I. Plane periodic objects in monochromatic light," J. Opt. Soc. Am. 55, 373–381 (1965).
  15. It may be interesting that for the air, treated here as a homogeneous medium, Λ is of the order of 10-5 µm.
  16. A. Sommerfeld, Optics (Academic, New York, 1954), Chap. 35E.
  17. See, for example, E. Janke, F. Emde, and F. Losch, Tafeln hoherer Funktionen (Teubner Verlagsgesellschaft, Stuttgart, 1960), Chap. VII.
  18. See, for example, Ref. 16, Chap. 39.
  19. In Ref. 11, there is an error in the sign of Eq. (8); also there is a small error in Eq.(6) of Ref. 18.
  20. We use here z¯, ω˜, λ˜, etc. because the symbols z, ω, and λ were reserved for the description of the signal in a fiber.
  21. T. Jannson and R. Janicki, "An eigenvalue formulation of inverse theory of scalar diffraction," Optik 56, 429–441 (1980), Eq. (39).

1980

1979

1978

K. Jurgensen, "Gaussian pulse transmission through monomode fibers," Appl. Opt. 17, 2412–2415 (1978).

W. A. Gambling, T. Matsumura, and C. M. Radgate, "Zero mode dispersion in single mode fibers," Electron. Lett. 14, 618–620 (1978).

1977

See P. K. Tien, "Integrated optics and new wave phenomena in optical waveguides," Rev. Mod. Phys. 49, 361–420 (1977), in which the planar waves are called the surface waves.

K. Thyagarajan and A. K. Ghatak, "Pulse broadening in optical fibers," Appl. Opt. 16, 2583–2585 (1977).

1976

1973

1971

1965

Emde, F.

See, for example, E. Janke, F. Emde, and F. Losch, Tafeln hoherer Funktionen (Teubner Verlagsgesellschaft, Stuttgart, 1960), Chap. VII.

Fraise, M.

Gambling, W. A.

W. A. Gambling, T. Matsumura, and C. M. Radgate, "Zero mode dispersion in single mode fibers," Electron. Lett. 14, 618–620 (1978).

Ghatak, A. K.

Janicki, R.

T. Jannson and R. Janicki, "An eigenvalue formulation of inverse theory of scalar diffraction," Optik 56, 429–441 (1980), Eq. (39).

Janke, E.

See, for example, E. Janke, F. Emde, and F. Losch, Tafeln hoherer Funktionen (Teubner Verlagsgesellschaft, Stuttgart, 1960), Chap. VII.

Jannson, T.

T. Jannson and R. Janicki, "An eigenvalue formulation of inverse theory of scalar diffraction," Optik 56, 429–441 (1980), Eq. (39).

T. Jannson and J. Sochacki, "Primary aberrations of thin planar surface lenses," J. Opt. Soc. Am. 70, 1079–1084 (1980).

Jeunhomme, L.

Jurgensen, K.

Kapron, F. P.

Keck, D. B.

Losch, F.

See, for example, E. Janke, F. Emde, and F. Losch, Tafeln hoherer Funktionen (Teubner Verlagsgesellschaft, Stuttgart, 1960), Chap. VII.

Marcuse, D.

Matsumura, T.

W. A. Gambling, T. Matsumura, and C. M. Radgate, "Zero mode dispersion in single mode fibers," Electron. Lett. 14, 618–620 (1978).

Miyagi, M.

Nishida, S.

Pocholle, J. P.

Radgate, C. M.

W. A. Gambling, T. Matsumura, and C. M. Radgate, "Zero mode dispersion in single mode fibers," Electron. Lett. 14, 618–620 (1978).

Smith, L.

Snitzer, E.

Sochacki, J.

Sommerfeld, A.

A. Sommerfeld, Optics (Academic, New York, 1954), Chap. 35E.

Thyagarajan, K.

Tien, P. K.

See P. K. Tien, "Integrated optics and new wave phenomena in optical waveguides," Rev. Mod. Phys. 49, 361–420 (1977), in which the planar waves are called the surface waves.

Winthrop, J. T.

Worthington, C. R.

Appl. Opt.

Electron. Lett.

W. A. Gambling, T. Matsumura, and C. M. Radgate, "Zero mode dispersion in single mode fibers," Electron. Lett. 14, 618–620 (1978).

J. Opt. Soc. Am.

Optik

T. Jannson and R. Janicki, "An eigenvalue formulation of inverse theory of scalar diffraction," Optik 56, 429–441 (1980), Eq. (39).

Rev. Mod. Phys.

See P. K. Tien, "Integrated optics and new wave phenomena in optical waveguides," Rev. Mod. Phys. 49, 361–420 (1977), in which the planar waves are called the surface waves.

Other

Such a wave may also propagate in air or in a plane waveguide as a linear planar wave (see, e.g., Ref. 11).

The case of an inhomogeneous 1D medium, i.e., n = n(z), may be interesting, but practical realization would be rather difficult.

It may be interesting that for the air, treated here as a homogeneous medium, Λ is of the order of 10-5 µm.

A. Sommerfeld, Optics (Academic, New York, 1954), Chap. 35E.

See, for example, E. Janke, F. Emde, and F. Losch, Tafeln hoherer Funktionen (Teubner Verlagsgesellschaft, Stuttgart, 1960), Chap. VII.

See, for example, Ref. 16, Chap. 39.

In Ref. 11, there is an error in the sign of Eq. (8); also there is a small error in Eq.(6) of Ref. 18.

We use here z¯, ω˜, λ˜, etc. because the symbols z, ω, and λ were reserved for the description of the signal in a fiber.

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