The lensing behavior of sinusoidal phase gratings is studied in the limit of large phase amplitudes Φ. The resulting asymptotic expressions are compared with the exact results and are shown to represent excellent approximations even for moderate values of Φ. They are well suited to a quantitative description of focusing imperfections caused by the strong spherical aberrations encountered in this type of microlens array.
© 2004 Optical Society of America
(050.1950) Diffraction and gratings : Diffraction gratings
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(080.1510) Geometric optics : Propagation methods
(110.2760) Imaging systems : Gradient-index lenses
Bernd Rohwedder and Pablo Barberis-Blostein, "Asymptotic focusing properties of a sinusoidal phase grating," J. Opt. Soc. Am. A 21, 2366-2374 (2004)