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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 5 — Feb. 28, 2011
  • pp: 4583–4594

Jones matrix treatment for optical Fourier processors with structured polarization

Ignacio Moreno, Claudio Iemmi, Juan Campos, and Maria J. Yzuel  »View Author Affiliations

Optics Express, Vol. 19, Issue 5, pp. 4583-4594 (2011)

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We present a Jones matrix method useful to analyze coherent optical Fourier processors employing structured polarization. The proposed method is a generalization of the standard classical optical Fourier transform processor, but considering vectorial spatial functions with two complex components corresponding to two orthogonal linear polarizations. As a result we derive a Jones matrix that describes the polarization output in terms of two vectorial functions defining respectively the structured polarization input and the generalized polarization impulse response. We apply the method to show and analyze an experiment in which a regular scalar diffraction grating is converted into equivalent polarization diffraction gratings by means of an appropriate polarization filtering. The technique is further demonstrated to generate arbitrary structured polarizations. Excellent experimental results are presented.

© 2011 OSA

OCIS Codes
(230.6120) Optical devices : Spatial light modulators
(260.5430) Physical optics : Polarization
(070.2615) Fourier optics and signal processing : Frequency filtering

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: November 9, 2010
Revised Manuscript: January 1, 2011
Manuscript Accepted: January 25, 2011
Published: February 24, 2011

Ignacio Moreno, Claudio Iemmi, Juan Campos, and Maria J. Yzuel, "Jones matrix treatment for optical Fourier processors with structured polarization," Opt. Express 19, 4583-4594 (2011)

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