G Rojo-Velázquez

Publications (2)2.97 Total impact

• Article: Fractional Talbot field and of finite gratings: compact analytical formulation.

  V Arrizón, G Rojo-Velázquez
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  ABSTRACT: We present a compact analytical formulation for the fractional Talbot effect at the paraxial domain of a finite grating. Our results show that laterally shifted distorted images of the grating basic cell form the Fresnel field at a fractional Talbot plane of the grating. Our formulas give the positions of those images and show that they are given by the convolution of the nondistorted cells (modulated by a quadratic phase factor) with the Fourier transform of the finite-grating pupil.
  Journal of the Optical Society of America A 07/2001; 18(6):1252-6. · 1.56 Impact Factor
• Article: Reinterpretation and improvement of Talbot array illuminators.

  V Arrizón, G Rojo-Velázquez
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  ABSTRACT: We show that the transmittance of a finite Talbot array illuminator (TAI) can be expressed by the phase distribution of a pixelated lens, modulated by a discrete phase grating (G). Thus the TAI reconstruction field is given by the convolution of the grating's Fourier transform, with the point-spread function of the pixelated lens. On the basis of this approach we propose a method to improve the performance of a finite TAI by modifying the basic cell of the grating factor G.
  Applied Optics 10/2000; 39(26):4794-801. · 1.41 Impact Factor