Dy. Jiang et Jj. Stamnes, FOCUSING AT LOW FRESNEL NUMBERS IN THE PRESENCE OF CYLINDRICAL OR SPHERICAL-ABERRATION, Pure and applied optics, 6(1), 1997, pp. 85-96
In this paper we discuss focusing of two-dimensional and three-dimensi
onal scalar waves at low Fresnel numbers in the presence of cylindrica
l or spherical aberration. We show that a larger maximum axial intensi
ty than in the aberration-free case can be obtained with a positive cy
lindrical or spherical aberration. Also, we give a physical explanatio
n of this unexpected result.