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 (<i>G</i>). 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 <i>G</i>.
© 2000 Optical Society of America
(050.1970) Diffraction and gratings : Diffractive optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(200.4650) Optics in computing : Optical interconnects
Victor Arrizón and G. Rojo-Velázquez, "Reinterpretation and Improvement of Talbot Array Illuminators," Appl. Opt. 39, 4794-4801 (2000)