The number of phase levels of a Talbot array illuminator is an important factor in the estimation of practical fabrication complexity and cost. We show that the number (<i>L</i>) of phase levels of a Talbot array illuminator has a simple relationship to the prime number. When there is an alternative π-phase modulation in the output array, the relations are similar.
© 2001 Optical Society of America
(050.1380) Diffraction and gratings : Binary optics
(050.1950) Diffraction and gratings : Diffraction gratings
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
Changhe Zhou, Huaisheng Wang, Shuai Zhao, Peng Xi, and Liren Liu, "Number of Phase Levels of a Talbot Array Illuminator," Appl. Opt. 40, 607-613 (2001)