Abstract

We have obtained the polarization dependence of ultrafast nonlinear refraction by measuring the orientational dependence of self-phase modulation and cross-phase modulation in an Al0.18Ga0.82As waveguide at a frequency just beneath the two-photon absorption edge. It was found that nonlinear refraction exhibits a considerable anisotropy in accordance with theoretical calculations for GaAs. It was also found, as predicted, that perpendicular cross-phase modulation behaves differently from the isotropic Kleinmann result appropriate to silica fibers.

© 1995 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
    [CrossRef]
  2. K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
    [CrossRef]
  3. J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
    [CrossRef]
  4. D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 50, 4622 (1994).
    [CrossRef]
  5. A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
    [CrossRef]
  6. D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 49, 2418 (1994).
    [CrossRef]
  7. D. C. Hutchings, B. S. Wherrett, “Theory of the anisotropy of ultrafast nonlinear refraction in zincblende semiconductors,” submitted toPhys. Rev. B.
  8. A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).
  9. D. C. Hutchings, B. S. Wherrett, Opt. Commun. 111, 507 (1994).
    [CrossRef]
  10. A. Villeneuve, J. U. Kang, G. I. Stegeman, J. S. Aitchison, D. C. Hutchings, in Quantum Optics and Laser Science, Vol. 16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper QWD29.
  11. W. A. Schroeder, D. S. McCallum, D. R. Harken, M. D. Dvorak, D. R. Andersen, A. L. Smirl, B. S. Wherrett, J. Opt. Soc. Am. B 12, 401 (1995).
    [CrossRef]

1995 (1)

1994 (3)

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 49, 2418 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Opt. Commun. 111, 507 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 50, 4622 (1994).
[CrossRef]

1993 (1)

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

1992 (2)

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
[CrossRef]

1991 (1)

J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
[CrossRef]

Aitchison, J. S.

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
[CrossRef]

J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
[CrossRef]

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

A. Villeneuve, J. U. Kang, G. I. Stegeman, J. S. Aitchison, D. C. Hutchings, in Quantum Optics and Laser Science, Vol. 16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper QWD29.

Al-Hemyari, K.

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
[CrossRef]

Andersen, D. R.

Dvorak, M. D.

Grant, R. S.

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
[CrossRef]

Harken, D. R.

Hutchings, D. C.

D. C. Hutchings, B. S. Wherrett, Opt. Commun. 111, 507 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 50, 4622 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 49, 2418 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, “Theory of the anisotropy of ultrafast nonlinear refraction in zincblende semiconductors,” submitted toPhys. Rev. B.

A. Villeneuve, J. U. Kang, G. I. Stegeman, J. S. Aitchison, D. C. Hutchings, in Quantum Optics and Laser Science, Vol. 16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper QWD29.

Ironside, C. N.

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
[CrossRef]

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
[CrossRef]

Kang, J. U.

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

A. Villeneuve, J. U. Kang, G. I. Stegeman, J. S. Aitchison, D. C. Hutchings, in Quantum Optics and Laser Science, Vol. 16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper QWD29.

Kean, A. H.

J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
[CrossRef]

Kennedy, G. T.

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

McCallum, D. S.

Schroeder, W. A.

Sibbett, W.

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
[CrossRef]

Smirl, A. L.

Stegeman, G. I.

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
[CrossRef]

A. Villeneuve, J. U. Kang, G. I. Stegeman, J. S. Aitchison, D. C. Hutchings, in Quantum Optics and Laser Science, Vol. 16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper QWD29.

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

Tapella, R.

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

Trevino, C.

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

Villeneuve, A.

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
[CrossRef]

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

A. Villeneuve, J. U. Kang, G. I. Stegeman, J. S. Aitchison, D. C. Hutchings, in Quantum Optics and Laser Science, Vol. 16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper QWD29.

Vögele, B.

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

Wherrett, B. S.

W. A. Schroeder, D. S. McCallum, D. R. Harken, M. D. Dvorak, D. R. Andersen, A. L. Smirl, B. S. Wherrett, J. Opt. Soc. Am. B 12, 401 (1995).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Opt. Commun. 111, 507 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 49, 2418 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 50, 4622 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, “Theory of the anisotropy of ultrafast nonlinear refraction in zincblende semiconductors,” submitted toPhys. Rev. B.

Electron. Lett. (4)

J. S. Aitchison, A. H. Kean, C. N. Ironside, A. Villeneuve, G. I. Stegeman, Electron. Lett. 27, 1709 (1991).
[CrossRef]

K. Al-Hemyari, J. S. Aitchison, C. N. Ironside, G. T. Kennedy, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1090 (1992).
[CrossRef]

J. S. Aitchison, K. Al-Hemyari, C. N. Ironside, R. S. Grant, W. Sibbett, Electron. Lett. 28, 1879 (1992).
[CrossRef]

A. Villeneuve, K. Al-Hemyari, J. U. Kang, C. N. Ironside, J. S. Aitchison, G. I. Stegeman, Electron. Lett. 29, 721 (1993).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

D. C. Hutchings, B. S. Wherrett, Opt. Commun. 111, 507 (1994).
[CrossRef]

Phys. Rev. B (2)

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 49, 2418 (1994).
[CrossRef]

D. C. Hutchings, B. S. Wherrett, Phys. Rev. B 50, 4622 (1994).
[CrossRef]

Other (3)

D. C. Hutchings, B. S. Wherrett, “Theory of the anisotropy of ultrafast nonlinear refraction in zincblende semiconductors,” submitted toPhys. Rev. B.

A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, G. I. Stegeman, “New waveguide design for minimum nonlinear effective area and switching energy in AlGaAs at half the band gap,” Electron. Lett. (to be published).

A. Villeneuve, J. U. Kang, G. I. Stegeman, J. S. Aitchison, D. C. Hutchings, in Quantum Optics and Laser Science, Vol. 16 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), paper QWD29.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (1)

Fig. 1
Fig. 1

Orientational dependence of n2 (scaled to n 2 L [ 001 ] in Al0.18Ga0.82As based on the experimental results obtained in this Letter. For linear polarization the variation is shown with respect to the polarization vector direction, and for circular polarization the variation is shown with respect to the propagation direction.

Tables (1)

Tables Icon

Table 1 Average Transmitted Power Levels To Yield the Same Degree of Spectral Broadening

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

n 2 L [ 001 ] = 3 4 0 c n 0 2 χ x x x x ,
δ = χ x x x x + χ x x y y - 2 χ x y x y 2 χ x x x x = n 2 L [ 001 ] - n 2 C ( k | | [ 100 ] ) n 2 L [ 001 ] ,
σ = χ x x x x + χ x x y y + 2 χ x y x y χ x x x x = 2 n 2 L [ 001 ] - n 2 L [ 011 ] n 2 L [ 001 ] ,
Δ n SPM L = n 2 L [ 001 ] I e [ 1 + σ ( i e i 4 - 1 ) ] ,
Δ n XPM = n 2 L [ 001 ] I e [ 1 - δ + σ ( 2 i e i 2 p i 2 - ½ ) ] ,

Metrics