It is shown that under very general conditions monochromatic scalar wave fields that have a focus in the sense of geometrical optics possess some simple symmetry properties with respect to the focus. Certain well-known but poorly understood symmetry properties of the three-dimensional amplitude distribution and phase distribution in the focal region of a uniform converging spherical wave diffracted at a circular aperture are found to be immediate consequences of our results.
© 1980 Optical Society of America
Original Manuscript: February 7, 1980
Published: June 1, 1980
E. Collett and E. Wolf, "Symmetry properties of focused fields," Opt. Lett. 5, 264-266 (1980)