Abstract

Using a single ultrashort optical pulse propagating through a short nonbirefringent single-mode optical fiber, we have observed degenerate-cross-phase modulation of the two orthogonal circularly polarized components of the pulse. The spectral broadening of the two polarization components in the single laser pulse is attributed to self-phase modulation (SPM), degenerate-cross-phase modulation (DXPM), and interference between SPM and DXPM.

© 1995 Optical Society of America

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References

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    [Crossref]
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    [Crossref]
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    [Crossref]

1994 (1)

1992 (2)

C. C. Yang, A. J. S. Wang, J. Opt. Soc. Am. B 9, 682 (1992).
[Crossref]

M. Sylla, P. X. Nguyen, D. Rouede, G. Rivoire, J. Appl. Phys. 71, 5318 (1992).
[Crossref]

1990 (1)

1988 (1)

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

1987 (1)

1986 (2)

1985 (1)

1984 (1)

1983 (1)

1979 (1)

1978 (1)

R. H. Stolen, Chinlon Lin, Phys. Rev. A 17, 1448 (1978).
[Crossref]

1974 (1)

E. P. Ippen, C. V. Shank, T. K. Gustafson, Appl. Phys. Lett. 33, 1765 (1974).

1970 (1)

R. R. Alfano, S. L. Shapiro, Phys. Rev. Lett. 24, 5841217 (1970).
[Crossref]

Agrawal, G. P.

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Orlando, Fla., 1989), Chap. 1, p. 15.

Alfano, R. R.

Q. Z. Wang, Q. D. Liu, D. Liu, P. P. Ho, R. R. Alfano, J. Opt. Soc. Am. B 11, 1084 (1994).
[Crossref]

Q. Z. Wang, P. P. Ho, R. R. Alfano, Opt. Lett. 15, 1023 (1990).
[Crossref] [PubMed]

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

R. R. Alfano, Q. X. Li, T. Jimbo, J. T. Manassah, P. P. Ho, Opt. Lett. 11, 626 (1986).
[Crossref] [PubMed]

H. E. Bates, R. R. Alfano, N. Schiller, Appl. Opt. 18, 947 (1979).
[Crossref] [PubMed]

R. R. Alfano, S. L. Shapiro, Phys. Rev. Lett. 24, 5841217 (1970).
[Crossref]

Q. D. Liu, J. T. Chen, Q. Z. Wang, P. P. Ho, R. R. Alfano, “Polarization stability of circularly polarized laser pulses propagating in nonbirefringent single-mode optical fibers,” IEEE Photon. Technol. Lett. (to be published).

Baldeck, P. L.

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

Bates, H. E.

Blow, K. J.

Chen, J. T.

Q. D. Liu, J. T. Chen, Q. Z. Wang, P. P. Ho, R. R. Alfano, “Polarization stability of circularly polarized laser pulses propagating in nonbirefringent single-mode optical fibers,” IEEE Photon. Technol. Lett. (to be published).

Crosignani, B.

Daino, B.

Doran, N. J.

Fork, R.

Gustafson, T. K.

E. P. Ippen, C. V. Shank, T. K. Gustafson, Appl. Phys. Lett. 33, 1765 (1974).

Hirlimann, C.

Ho, P. P.

Q. Z. Wang, Q. D. Liu, D. Liu, P. P. Ho, R. R. Alfano, J. Opt. Soc. Am. B 11, 1084 (1994).
[Crossref]

Q. Z. Wang, P. P. Ho, R. R. Alfano, Opt. Lett. 15, 1023 (1990).
[Crossref] [PubMed]

R. R. Alfano, Q. X. Li, T. Jimbo, J. T. Manassah, P. P. Ho, Opt. Lett. 11, 626 (1986).
[Crossref] [PubMed]

Q. D. Liu, J. T. Chen, Q. Z. Wang, P. P. Ho, R. R. Alfano, “Polarization stability of circularly polarized laser pulses propagating in nonbirefringent single-mode optical fibers,” IEEE Photon. Technol. Lett. (to be published).

Ippen, E. P.

E. P. Ippen, C. V. Shank, T. K. Gustafson, Appl. Phys. Lett. 33, 1765 (1974).

Islam, M. N.

Jimbo, T.

Li, Q. X.

Lin, Chinlon

R. H. Stolen, Chinlon Lin, Phys. Rev. A 17, 1448 (1978).
[Crossref]

Liu, D.

Liu, Q. D.

Q. Z. Wang, Q. D. Liu, D. Liu, P. P. Ho, R. R. Alfano, J. Opt. Soc. Am. B 11, 1084 (1994).
[Crossref]

Q. D. Liu, J. T. Chen, Q. Z. Wang, P. P. Ho, R. R. Alfano, “Polarization stability of circularly polarized laser pulses propagating in nonbirefringent single-mode optical fibers,” IEEE Photon. Technol. Lett. (to be published).

Manassah, J. T.

Mollenauer, L. F.

Nelson, B. P.

Nguyen, P. X.

M. Sylla, P. X. Nguyen, D. Rouede, G. Rivoire, J. Appl. Phys. 71, 5318 (1992).
[Crossref]

Porto, P. D.

Rivoire, G.

M. Sylla, P. X. Nguyen, D. Rouede, G. Rivoire, J. Appl. Phys. 71, 5318 (1992).
[Crossref]

Rouede, D.

M. Sylla, P. X. Nguyen, D. Rouede, G. Rivoire, J. Appl. Phys. 71, 5318 (1992).
[Crossref]

Schiller, N.

Shang, H. T.

Shank, C.

Shank, C. V.

E. P. Ippen, C. V. Shank, T. K. Gustafson, Appl. Phys. Lett. 33, 1765 (1974).

Shapiro, S. L.

R. R. Alfano, S. L. Shapiro, Phys. Rev. Lett. 24, 5841217 (1970).
[Crossref]

Shen, Y. R.

Simpson, J. R.

Stolen, R. H.

Sylla, M.

M. Sylla, P. X. Nguyen, D. Rouede, G. Rivoire, J. Appl. Phys. 71, 5318 (1992).
[Crossref]

Tomlinson, W. J.

Wang, A. J. S.

Wang, Q. Z.

Q. Z. Wang, Q. D. Liu, D. Liu, P. P. Ho, R. R. Alfano, J. Opt. Soc. Am. B 11, 1084 (1994).
[Crossref]

Q. Z. Wang, P. P. Ho, R. R. Alfano, Opt. Lett. 15, 1023 (1990).
[Crossref] [PubMed]

Q. D. Liu, J. T. Chen, Q. Z. Wang, P. P. Ho, R. R. Alfano, “Polarization stability of circularly polarized laser pulses propagating in nonbirefringent single-mode optical fibers,” IEEE Photon. Technol. Lett. (to be published).

Yang, C. C.

Yang, G.

Yen, R.

Appl. Opt. (1)

Appl. Phys. Lett. (2)

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Appl. Phys. Lett. 52, 1939 (1988).
[Crossref]

E. P. Ippen, C. V. Shank, T. K. Gustafson, Appl. Phys. Lett. 33, 1765 (1974).

J. Appl. Phys. (1)

M. Sylla, P. X. Nguyen, D. Rouede, G. Rivoire, J. Appl. Phys. 71, 5318 (1992).
[Crossref]

J. Opt. Soc. Am. B (3)

Opt. Lett. (6)

Phys. Rev. A (1)

R. H. Stolen, Chinlon Lin, Phys. Rev. A 17, 1448 (1978).
[Crossref]

Phys. Rev. Lett. (1)

R. R. Alfano, S. L. Shapiro, Phys. Rev. Lett. 24, 5841217 (1970).
[Crossref]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Orlando, Fla., 1989), Chap. 1, p. 15.

Q. D. Liu, J. T. Chen, Q. Z. Wang, P. P. Ho, R. R. Alfano, “Polarization stability of circularly polarized laser pulses propagating in nonbirefringent single-mode optical fibers,” IEEE Photon. Technol. Lett. (to be published).

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Figures (3)

Fig. 1
Fig. 1

(a) Experimental setup: P, polarizer; QWP’s, quarter-wave plates; L’s, microscope objectives; BDP, beam-displacing prism; S, slit of the spectrometer. (b) Normalized laser spectrum with bandwidth FWHM less than 0.03 nm.

Fig. 2
Fig. 2

Measured spectra of single 30-nJ elliptically polarized laser pulse with a duration of 30 ps propagating in a 1-m nonbirefringent single-mode optical fiber. The intensity ratio of the pump component to the probe was 100 to 1. (a), (b) Spectra of pump and probe components, respectively.

Fig. 3
Fig. 3

Theoretical calculation of SPM and DXPM spectra for a single elliptically polarized laser pulse at the same pulse energy of 30 nJ, n2 = 1.3 × 10−16 cm2/W, fiber length 1 m, and fiber core diameter 25 μm. The intensity ratio of pump to probe is 100 to 1. (a), (b) Spectra of pump and probe components, respectively. (c) Spectrum considering interference between the probe and a small portion (0.5%) of the pump.

Equations (3)

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E = E R + E L = ½ { e R A R ( r , z , t ) exp [ i ( ω t k z ) ] + e L A L ( r , z , t ) exp [ i ( ω t k z ) ] } + c . c . ,
A R z + 1 v g R A R t + i 2 k R ( 2 ) 2 A R t 2 = i ω n 2 c ( | A R | 2 + 4 3 | A L | 2 ) A R ,
A L z + 1 v g L A L t + i 2 k L ( 2 ) 2 A L t 2 = i ω n 2 c ( | A L | 2 + 4 3 | A R | 2 ) A L ,

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