OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 21, Iss. 2 — Feb. 1, 2004
  • pp: 187–192

Influence of imperfections in gradient-index waveguides on Talbot effects

Kaicheng Zhu and Huiqin Tang  »View Author Affiliations

JOSA A, Vol. 21, Issue 2, pp. 187-192 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (166 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



On the basis of the unitary transformation and the Lie algebra decomposition technology widely used in quantum mechanics, we obtain the analytical propagator for light beams propagating through an imperfect gradient-index (GRIN) waveguide. The results show that, unlike in the straight GRIN waveguide widely studied, in an imperfect GRIN waveguide, self-imagining phenomena can result in two new effects: one is a phase shift including a global one and a local one, in which the local one results in a change of direction of the light beam propagating through the imperfect GRIN waveguide; the other is a transverse shift of self-image. The transverse deviation occurring in the imperfect GRIN waveguide is also calculated.

© 2004 Optical Society of America

OCIS Codes
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(110.0110) Imaging systems : Imaging systems

Original Manuscript: May 27, 2003
Revised Manuscript: September 26, 2003
Manuscript Accepted: October 14, 2003
Published: February 1, 2004

Kaicheng Zhu and Huiqin Tang, "Influence of imperfections in gradient-index waveguides on Talbot effects," J. Opt. Soc. Am. A 21, 187-192 (2004)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Graded index fibers, Wigner distribution functions and the fractional Fourier transform,” Appl. Opt. 33, 6188–6193 (1994). [CrossRef] [PubMed]
  2. G. S. Agarwal, “Talbot effect in a quadratic index medium,” Opt. Commun. 119, 30–32 (1995). [CrossRef]
  3. L. Yu, M. C. Huang, L. Q. Wu, Y. Y. Lu, W. D. Huang, M. Z. Chen, Z. Z. Zhu, “Fractional Fourier transform and the elliptic gradient-index medium,” Opt. Commun. 152, 23–25 (1998). [CrossRef]
  4. M. T. Flores-Arias, C. Bao, M. V. Perez, C. Gómez-Reino, “Talbot effect in a tapered gradient-index medium for nonuniform and uniform illumination,” J. Opt. Soc. Am. A 16, 2439–2446 (1999). [CrossRef]
  5. C. Gómez-Reino, M. T. Flores-Arias, M. V. Perez, C. Bao, “Fractional and integer Talbot effect for off-axis illumination and for finite object dimension in tapered GRIN media,” Opt. Commun. 183, 365–376 (2000). [CrossRef]
  6. M. T. Flores-Arias, C. R. Fernandez-Pousa, M. V. Perez, C. Bao, C. Gómez-Reino, “Fractional Talbot effect in a tapered gradient-index medium: unit cell,” J. Opt. Soc. Am. A 17, 1007–1011 (2000). [CrossRef]
  7. X. Prieto, C. Montero, J. Liñares, “Three-step diffused surface waveguides for fabricating and designing integrated optical components,” J. Mod. Opt. 42, 2519–2163 (1995). [CrossRef]
  8. J. Arnaud, Beam and Fiber Optics (Academic, New York, 1976), pp. 79–81.
  9. A. A. Tovar, L. W. Casperson, “Generalized beam matrices: Gaussian beam propagation in misaligned complex optical systems,” J. Opt. Soc. Am. A 12, 1522–1533 (1995). [CrossRef]
  10. A. A. Tovar, L. W. Casperson, “Generalized beam matrices: II. Mode selection in lasers and periodic misaligned complex optical systems,” J. Opt. Soc. Am. A 13, 90–96 (1996). [CrossRef]
  11. K. C. Zhu, X. M. Sun, X. W. Wang, H. Q. Tang, Y. Y. Peng, “Paraxial propagation of Gaussian beam through curved transverse parabolic graded-index waveguides,” Opt. Commun. 221, 1–7 (2003). [CrossRef]
  12. H. Guo, T. C. Liu, X. Fu, W. Hu, S. Yu, “Beam propagation of x rays in a laser-produced plasma and a modified relation of interferometry in measuring the electron density,” Phys. Rev. E 63, 066401 (2001). [CrossRef]
  13. G. Dattoli, S. Solimeno, A. Torre, “Algebraic time-order techniques and harmonic oscillator with time-dependent frequency,” Phys. Rev. A 34, 2646–2653 (1986). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited