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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.41.005218


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Abstract

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

Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-25-5218


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References

  1. See, for example, J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), p. 87.
  2. Ch. Siegel, F. Lowenthal, and J. E. Balmer, “A wavefront sensor based on the fractional Talbot effect,” Opt. Commun. 194, 265–275 (2001).
  3. H. L. Kung, A. Bhatnagar, and D. A. B. Miller, “Transform spectrometer based on measuring the periodicity of Talbot self-images,” Opt. Lett. 26, 1645–1647 (2001).
  4. M. Wrage, P. Glas, D. Fischer, M. Leitner, D. Vysotsky, and A. P. Napartovich, “Phase locking in a multicore fiber laser by means of a Talbot resonator,” Opt. Lett. 25, 1436–1438 (2000).
  5. V. A. Arrizón, E. Tepchin, M. Ortiz-Gutierrez, and A. W. Lohmann, “Fresnel diffraction at 1/4 of the Talbot distance of an anistropic grating,” Opt. Commun. 127, 171–175 (1996).
  6. H. J. Rabal, W. D. Furlan, and E. E. Sicre, “Talbot interferometry with anistropic gratings,” Opt. Commun. 57, 81–83 (1986).
  7. Z. Bomzon, G. Biener, V. Kleiner, and E. Hasman, “Real time analysis of partially polarized light with a space-variant subwavelength dielectric grating,” Opt. Lett. 27, 285–287 (2002).
  8. Z. Bomzon, V. Kleiner, and E. Hasman, “Pancharatnam-Berry phase in space-variant polarization-manipulations with subwavelength gratings,” Opt. Lett. 26, 1424–1426 (2001).
  9. Z. Bomzon, G. Biener, V. Kleiner, and E. Hasman, “Space-variant Pancharatnam-Berry phase optical elements with computer-generated subwavelength gratings,” Opt. Lett. 1141–1143 (2002).
  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, and E. Hasman, “Space-variant polarization state manipulation with computer-generated subwavelength metal-stripe gratings,” Opt. Commun. 192, 169–181 (2001).
  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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