Reinterpretation and improvement of Talbot array illuminators.
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.
Arrizón
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Instituto Nacional de Astrofísica, Optica y Electrónica, Apartado Postal 216, Puebla 72000, Puebla, México. Arrizon@inaoep.mx
Rojo-Velázquez
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