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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 2154–2160

Polarization-dependent Talbot effect

Yunqing Lu, Changhe Zhou, Shunquan Wang, and Bo Wang  »View Author Affiliations


JOSA A, Vol. 23, Issue 9, pp. 2154-2160 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002154


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Abstract

The term “polarization-dependent Talbot effect” means that the Talbot self-imaging intensity of a high-density grating is different for TE and TM polarization modes. Numerical simulations with the finite-difference time-domain method show that the polarization dependence of the Talbot images is obvious for gratings with period d between 2 λ and 3 λ . Such a polarization-dependent difference for TE and TM polarization of a high-density grating of 630 lines mm (corresponding to d λ = 2.5 ) is verified through experiments with the scanning near-field optical microscopy technique, in which a He Ne laser is used as its polarization is changed from the TE mode to the TM mode. The polarization-dependent Talbot effect should help us to understand more clearly the diffraction behavior of a high-density grating in nano-optics and contribute to wide application of the Talbot effect.

© 2006 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: January 19, 2006
Revised Manuscript: March 26, 2006
Manuscript Accepted: March 31, 2006

Citation
Yunqing Lu, Changhe Zhou, Shunquan Wang, and Bo Wang, "Polarization-dependent Talbot effect," J. Opt. Soc. Am. A 23, 2154-2160 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2154


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References

  1. W. H. F. Talbot, "Facts relating to optical sciences. No. IV," Philos. Mag. 9, 401-407 (1836).
  2. A. W. Lohmann and J. A. Thomas, "Making an array illuminator based on the Talbot effect," Appl. Opt. 29, 4337-4340 (1990). [CrossRef] [PubMed]
  3. S. Nowak, C. Kurtsiefer, T. Pfau, and C. David, "High-order Talbot fringes for atomic matter waves," Opt. Lett. 22, 1430-1432 (1997). [CrossRef]
  4. C. Zhou, S. Stankovic, C. Denz, and T. Tschudi, "Phase codes of Talbot array illumination for encoding holographic multiplexing storage," Opt. Commun. 161, 209-211 (1999). [CrossRef]
  5. C. Zhou, W. Wang, E. Dai, and L. Liu, "Simple principles of the Talbot effect," Opt. Photon. News December 2004, pp. 46-50.
  6. C. Zhou, X. Zhao, L. Liu, "Rediscovering waveguide beam splitter/combiner," in Proc. SPIE 4904, 500-505 (2002). [CrossRef]
  7. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. AP-14, 302-307 (1966).
  8. A. Taflove and S. Hagness, Computational Electromagnetics: The Finite-Difference Time Domain Method, 2nd ed. (Artech, 2000).
  9. P. Wei, H. Chou, and Y. Chen, "Subwavelength focusing in the near field in mesoscale air-dielectric structures," Opt. Lett. 29, 433-435 (2004). [CrossRef] [PubMed]
  10. J. B. Judkins and R. W. Ziolkowski, "Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film gratings," J. Opt. Soc. Am. A 12, 1974-1983 (1995). [CrossRef]
  11. B. Lehner and K. Hingerl, "The finite difference time domain method as a numerical tool for studying the polarization optical response of rough surface," Thin Solid Films 455-456, 462-467 (2004). [CrossRef]
  12. E. Noponen and J. Turunen, "Electromagnetic theory of Talbot imaging," Opt. Commun. 98, 132-140 (1993). [CrossRef]
  13. Z. Bomzon, A. Niv, G. Biener, V. Kleiner, and E. Hasman, "Polarization Talbot self-imaging with computer-generated, space-variant subwavelength dielectric gratings," Appl. Opt. 41, 5218-5222 (2002). [CrossRef] [PubMed]
  14. I. I. Smolyaninov and C. C. Davis, "Apparent superresolution in near-field optical imaging of periodic gratings," Opt. Lett. 23, 1346-1347 (1998). [CrossRef]
  15. H. Ichikawa, "Electromagnetic analysis of diffraction gratings by the finite-difference time-domain method," J. Opt. Soc. Am. A 15, 152-157 (1998). [CrossRef]
  16. G. Mur, "Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations," IEEE Trans. Electromagn. Compat. 23, 377-382 (1981). [CrossRef]
  17. Y. Lu, C. Zhou, and H. Luo, "Talbot effect of a grating with different kinds of flaws," J. Opt. Soc. Am. A 22, 2662-2667 (2005). [CrossRef]
  18. Lord Rayleigh, "On copying diffraction-gratings, and on some phenomenon connected therewith," Philos. Mag. 11, 196-205 (1881).
  19. P. Wei, H. Chou, and W. Fann, "Optical near field in nanometallic slits," Opt. Express 10, 1418-1424 (2002). [PubMed]
  20. H. Luo, C. Zhou, H. Zou, and Y. Lu, "Talbot-SNOM method for non-contact evaluation of high-density gratings," Opt. Commun. 248, 97-103 (2005). [CrossRef]
  21. S. Wang, C. Zhou, H. Ru, and Y. Zhang, "Optimized condition for etching fused silica phase grating with inductively coupled plasma technology, " Appl. Opt. 44, 4429-4434 (2005). [CrossRef] [PubMed]
  22. S. Wang, C. Zhou, Y. Zhang, and H. Ru, "Deep etched high-density fused silica transmission gratings with high efficiency at wavelength of 1550nm," Appl. Opt. 45, 2567-2571 (2006). [CrossRef] [PubMed]
  23. L. Li, "New formulation of the Fourier modal method for crossed surface-relief gratings," J. Opt. Soc. Am. A 14, 2758-2767 (1997). [CrossRef]
  24. M. Moharam, E. Grann, D. Pommet, and T. Gaylord, "Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings," J. Opt. Soc. Am. A 12, 1068-1076 (1995). [CrossRef]
  25. S. Jeon, V. Malyarchuk, J. Rogers, and G. P. Wiederrecht, "Fabricating three-dimensional nanostructures using two photon lithography in a single exposure step," Opt. Express 14, 2300-2308 (2006). [CrossRef] [PubMed]

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