Abstract

The intensity-dependent refractive index leads to an instability in the polarization state of an intense light beam oriented along the fast axis of a birefringent nonlinear medium. Depending on initial conditions, the spatial evolution of the polarization state can be oscillatory or rotatory, in a manner analogous to the motion of a nonlinear pendulum.

© 1986 Optical Society of America

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References

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  1. K. Kitayama, Y. Kimura, S. Seikai, Appl. Phys. Lett. 46, 317 (1985).
    [CrossRef]
  2. B. Nikolaus, D. Grischkowsky, A. C. Balant, Opt. Lett. 8, 189 (1983).
    [CrossRef] [PubMed]
  3. R. H. Stolen, J. Botineau, A. Ashkin, Opt. Lett. 7, 512 (1982).
    [CrossRef] [PubMed]
  4. H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
    [CrossRef]
  5. P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
    [CrossRef]
  6. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975); R. Ulrich, Opt. Lett. 1, 109 (1977).
    [CrossRef] [PubMed]
  7. N. Minorsky, Nonlinear Oscillations (Van Nostrand, Princeton, N.J., 1962); J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
    [CrossRef] [PubMed]
  8. L. F. Mollenauer, R. H. Stolen, Opt. Lett. 9, 13 (1984).
    [CrossRef] [PubMed]

1985 (2)

K. Kitayama, Y. Kimura, S. Seikai, Appl. Phys. Lett. 46, 317 (1985).
[CrossRef]

H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
[CrossRef]

1984 (1)

1983 (1)

1982 (1)

1964 (1)

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[CrossRef]

Ashkin, A.

Balant, A. C.

Born, M.

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975); R. Ulrich, Opt. Lett. 1, 109 (1977).
[CrossRef] [PubMed]

Botineau, J.

Grischkowsky, D.

Kimura, Y.

K. Kitayama, Y. Kimura, S. Seikai, Appl. Phys. Lett. 46, 317 (1985).
[CrossRef]

Kitayama, K.

K. Kitayama, Y. Kimura, S. Seikai, Appl. Phys. Lett. 46, 317 (1985).
[CrossRef]

Maker, P. D.

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[CrossRef]

Minorsky, N.

N. Minorsky, Nonlinear Oscillations (Van Nostrand, Princeton, N.J., 1962); J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
[CrossRef] [PubMed]

Mollenauer, L. F.

Nikolaus, B.

Savage, C. M.

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[CrossRef]

Seikai, S.

K. Kitayama, Y. Kimura, S. Seikai, Appl. Phys. Lett. 46, 317 (1985).
[CrossRef]

Stolen, R. H.

Terhune, R. W.

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[CrossRef]

Winful, H. G.

H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
[CrossRef]

Wolf, E.

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975); R. Ulrich, Opt. Lett. 1, 109 (1977).
[CrossRef] [PubMed]

Appl. Phys. Lett. (2)

H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
[CrossRef]

K. Kitayama, Y. Kimura, S. Seikai, Appl. Phys. Lett. 46, 317 (1985).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. Lett. (1)

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[CrossRef]

Other (2)

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975); R. Ulrich, Opt. Lett. 1, 109 (1977).
[CrossRef] [PubMed]

N. Minorsky, Nonlinear Oscillations (Van Nostrand, Princeton, N.J., 1962); J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Phase-plane trajectories of the polarization state. (a) Low input power (p ≪ 1). (b) High input power (p = 3). The input power is normalized by the critical power Pc. Points labeled S are unstable saddle points.

Fig. 2
Fig. 2

Transmission of a birefringent fiber and crossed polarizer combination as a function of the normalized input power for different input angles. Here κL = π.

Fig. 3
Fig. 3

Change of beat length owing to intense beam oriented along the fast axis (solid line) or along the slow axis (dashed line).

Equations (7)

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d c + / d z = i κ c - + i β c - 2 c + ,
d c - / d z = i κ c + + i β c + 2 c - .
d 2 c ± / d z 2 + κ 2 c ± = 0 ,
u ( z ) = ½ ( p - { 2 [ q - Re ( q ) ] } 1 / 2 c n ( x m ) ) ,
x = 2 κ z q 1 / 2 + K ( m ) ,
m = ½ [ 1 - Re ( q ) / q ] .
L p / L 0 = 2 K ( m ) / π [ 1 + p 2 + 2 p cos ( 2 θ 0 ) ] 1 / 4 .

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