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Applied Optics

Applied Optics


  • Vol. 41, Iss. 25 — Sep. 1, 2002
  • pp: 5218–5222

Polarization Talbot self-imaging with computer-generated, space-variant subwavelength dielectric gratings

Ze’ev Bomzon, Avi Niv, Gabriel Biener, Vladimir Kleiner, and Erez Hasman  »View Author Affiliations

Applied Optics, Vol. 41, Issue 25, pp. 5218-5222 (2002)

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Self-imaging of a periodic space-variant polarized field is demonstrated. The field is created by use of space-variant subwavelength dielectric gratings. Our observations include self-imaging of the fields at the Talbot planes as well as the translation of incident polarization variation into intensity modulation at certain planes. We demonstrate the formation of a one-dimensional nondiffracting beam with uniform intensity and a nontrivial polarization structure.

© 2002 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(110.6760) Imaging systems : Talbot and self-imaging effects
(260.5430) Physical optics : Polarization
(350.1370) Other areas of optics : Berry's phase
(350.5500) Other areas of optics : Propagation

Original Manuscript: March 6, 2002
Revised Manuscript: May 20, 2002
Published: September 1, 2002

Ze’ev Bomzon, Avi Niv, Gabriel Biener, Vladimir Kleiner, and Erez Hasman, "Polarization Talbot self-imaging with computer-generated, space-variant subwavelength dielectric gratings," Appl. Opt. 41, 5218-5222 (2002)

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  1. See, for example, J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), p. 87.
  2. Ch. Siegel, F. Lowenthal, J. E. Balmer, “A wavefront sensor based on the fractional Talbot effect,” Opt. Commun. 194, 265–275 (2001). [CrossRef]
  3. H. L. Kung, A. Bhatnagar, D. A. B. Miller, “Transform spectrometer based on measuring the periodicity of Talbot self-images,” Opt. Lett. 26, 1645–1647 (2001). [CrossRef]
  4. M. Wrage, P. Glas, D. Fischer, M. Leitner, D. Vysotsky, A. P. Napartovich, “Phase locking in a multicore fiber laser by means of a Talbot resonator,” Opt. Lett. 25, 1436–1438 (2000). [CrossRef]
  5. V. A. Arrizón, E. Tepchin, M. Ortiz-Gutierrez, A. W. Lohmann, “Fresnel diffraction at ¼ of the Talbot distance of an anistropic grating,” Opt. Commun. 127, 171–175 (1996). [CrossRef]
  6. H. J. Rabal, W. D. Furlan, E. E. Sicre, “Talbot interferometry with anistropic gratings,” Opt. Commun. 57, 81–83 (1986). [CrossRef]
  7. Z. Bomzon, G. Biener, V. Kleiner, E. Hasman, “Real time analysis of partially polarized light with a space-variant subwavelength dielectric grating,” Opt. Lett. 27, 285–287 (2002). [CrossRef]
  8. Z. Bomzon, V. Kleiner, E. Hasman, “Pancharatnam–Berry phase in space-variant polarization-manipulations with subwavelength gratings,” Opt. Lett. 26, 1424–1426 (2001). [CrossRef]
  9. Z. Bomzon, G. Biener, V. Kleiner, E. Hasman, “Space-variant Pancharatnam–Berry phase optical elements with computer-generated subwavelength gratings,” Opt. Lett.1141–1143 (2002). [CrossRef]
  10. The Fresnel approximation for the propagation of a scalar wave is defined as E(x, y, z) = F-1HF[E(x, y, z = 0)], where E(x, y, z) is a scalar wave function, F denotes a spatial Fourier transform, H(fx, z) = exp(i2πz/λ)exp(-iπλzfx2) is the Fresnel transfer function, and fx denotes spatial frequency. See, for example, Ref. 1.
  11. Z. Bomzon, V. Kleiner, E. Hasman, “Space-variant polarization state manipulation with computer-generated subwavelength metal-stripe gratings,” Opt. Commun. 192, 169–181 (2001). [CrossRef]
  12. Stokes parameters are used to define the polarization state. They are S0 = |Ex|2 + |Ey|2, S1 = |Ex|2 - |Ey|2, S2 = ExEy* + EyEx*, and S3 = i(ExEy* - EyEx*), where Ex and Ey are the Cartesian components of the electromagnetic field. S0 is the intensity of the field, whereas S1 … S3 define the polarization ellipse. See, for example, C. Brosseau, Polarized Light, A Statistical Optics Approach (Wiley, New York, 1998).
  13. E. Collett, Polarized Light (Marcel Dekker, New York, 1993).

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