A new formulation of the sampling theorem for circular apertures is proposed that uses a Dini series approach instead of a Fourier–Bessel one. The results obtained are especially convenient for the fast evaluation of point-spread functions: even the case of thin-ring aperture is not troublesome.
© 1981 Optical Society of America
Original Manuscript: August 31, 1981
Published: December 1, 1981
Stanisław Szapiel, "Sampling theorem for rotationally symmetric systems based on Dini expansion," Opt. Lett. 6, 604-606 (1981)