Abstract

The nonlinear change of the dielectric constant (Kerr effect) in a glass fiber can be utilized to self-confine optical pulses in a multimode fiber at wavelengths longer than 1.3 μm. The range of the deviation in the group velocity Δνg of the different modes to be confined is given by Δνg2/νg2 ≤ 2(∂νg/∂f × f/νg)n2/n0|E|2, where f and νg are the frequency and the group velocity, respectively, of the mode; n0 and n2 (= 3 × 10−22 m2/V2) are the linear and nonlinear indices of refraction; and E is the peak electric field averaged over the cross sections of the fiber.

© 1980 Optical Society of America

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References

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  1. D. Gloge, E. A. J. Marcatili, “Multimode theory of graded-core fibers,” Bell Syst. Tech. J. 52, 1563 (1973).
  2. A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23, 142 (1973).
    [Crossref]
  3. A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, New York, 1975), p. 194.
  4. L. F. Mollenauer, R. H. Stolen, to be published.
  5. R. H. Stolen, “Phase-matched stimulated four photon mixing in silica fiber waveguides,” IEEE J. Quantum Electron. QE-11, 100 (1975).
    [Crossref]
  6. E. P. Ippen, R. H. Stolen, “Stimulated Brillouin scattering in optical fibers,” Appl. Phys. Lett. 21, 539 (1972).
    [Crossref]
  7. A. Hasegawa, “Dynamics of ensemble of plane waves in nonlinear dispersive media,” Phys. Fluids 18, 77 (1975).
    [Crossref]
  8. A. Hasegawa, “Envelope soliton of random phase waves,” Phys. Fluids 20, 2155 (1977).
    [Crossref]

1977 (1)

A. Hasegawa, “Envelope soliton of random phase waves,” Phys. Fluids 20, 2155 (1977).
[Crossref]

1975 (2)

A. Hasegawa, “Dynamics of ensemble of plane waves in nonlinear dispersive media,” Phys. Fluids 18, 77 (1975).
[Crossref]

R. H. Stolen, “Phase-matched stimulated four photon mixing in silica fiber waveguides,” IEEE J. Quantum Electron. QE-11, 100 (1975).
[Crossref]

1973 (2)

D. Gloge, E. A. J. Marcatili, “Multimode theory of graded-core fibers,” Bell Syst. Tech. J. 52, 1563 (1973).

A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23, 142 (1973).
[Crossref]

1972 (1)

E. P. Ippen, R. H. Stolen, “Stimulated Brillouin scattering in optical fibers,” Appl. Phys. Lett. 21, 539 (1972).
[Crossref]

Gloge, D.

D. Gloge, E. A. J. Marcatili, “Multimode theory of graded-core fibers,” Bell Syst. Tech. J. 52, 1563 (1973).

Hasegawa, A.

A. Hasegawa, “Envelope soliton of random phase waves,” Phys. Fluids 20, 2155 (1977).
[Crossref]

A. Hasegawa, “Dynamics of ensemble of plane waves in nonlinear dispersive media,” Phys. Fluids 18, 77 (1975).
[Crossref]

A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23, 142 (1973).
[Crossref]

A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, New York, 1975), p. 194.

Ippen, E. P.

E. P. Ippen, R. H. Stolen, “Stimulated Brillouin scattering in optical fibers,” Appl. Phys. Lett. 21, 539 (1972).
[Crossref]

Marcatili, E. A. J.

D. Gloge, E. A. J. Marcatili, “Multimode theory of graded-core fibers,” Bell Syst. Tech. J. 52, 1563 (1973).

Mollenauer, L. F.

L. F. Mollenauer, R. H. Stolen, to be published.

Stolen, R. H.

R. H. Stolen, “Phase-matched stimulated four photon mixing in silica fiber waveguides,” IEEE J. Quantum Electron. QE-11, 100 (1975).
[Crossref]

E. P. Ippen, R. H. Stolen, “Stimulated Brillouin scattering in optical fibers,” Appl. Phys. Lett. 21, 539 (1972).
[Crossref]

L. F. Mollenauer, R. H. Stolen, to be published.

Tappert, F.

A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23, 142 (1973).
[Crossref]

Appl. Phys. Lett. (2)

A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23, 142 (1973).
[Crossref]

E. P. Ippen, R. H. Stolen, “Stimulated Brillouin scattering in optical fibers,” Appl. Phys. Lett. 21, 539 (1972).
[Crossref]

Bell Syst. Tech. J. (1)

D. Gloge, E. A. J. Marcatili, “Multimode theory of graded-core fibers,” Bell Syst. Tech. J. 52, 1563 (1973).

IEEE J. Quantum Electron. (1)

R. H. Stolen, “Phase-matched stimulated four photon mixing in silica fiber waveguides,” IEEE J. Quantum Electron. QE-11, 100 (1975).
[Crossref]

Phys. Fluids (2)

A. Hasegawa, “Dynamics of ensemble of plane waves in nonlinear dispersive media,” Phys. Fluids 18, 77 (1975).
[Crossref]

A. Hasegawa, “Envelope soliton of random phase waves,” Phys. Fluids 20, 2155 (1977).
[Crossref]

Other (2)

A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, New York, 1975), p. 194.

L. F. Mollenauer, R. H. Stolen, to be published.

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Equations (10)

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E s 2 = n 0 2 ω k 2 ( α ω 0 n 2 ν g 2 τ 0 2 ) 1 ,
i ( ϕ j t + ν g j ϕ j x ) + 1 2 ν g j k j 2 ϕ j x 2 + α n 2 ω j n 0 | ϕ | 2 ϕ j = 0 ,
| ϕ | 2 = j | ϕ j | 2
H = ν g j p j + 1 2 ν g j k j p j 2 α n 2 ω j n 0 | ϕ | 2 ,
x ˙ j = H p j = ν g j + ν g j k j p j
p ˙ j = H x j = α n 2 ω j n 0 x j | ϕ | 2 .
1 2 m j ( ν g j ν 0 ) 2 V
( ν g j ν 0 ) 2 2 ( ν g j k j α n 2 ω j n 0 | ϕ | 2 ) .
ω ν g k = ω ν g f f k = ν g f f ν g ν g 2 ,
( ν g j ν 0 ν g j ) 2 2 ( ν g j f f ν g j ) α n 2 n 0 | ϕ | 2 .

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