Imaging properties of a birefringent lens, in which the fast (or the slow) axis is distributed in the radial direction whereas magnitude of birefringence varies as a quadratic function of the pupil radius, are investigated by calculating a point-spread function. It is found that the point image is analytically described by using the Lommel function as well as the zero-order Bessel function, and a localized intensity null surrounded by bright regions in all directions can be realized at a geometrical focus under certain conditions. The magnitude of birefringence that is tolerable in image formations is also discussed, assuming that the lens is applied to microlithography.
© 2002 Optical Society of America
(110.2990) Imaging systems : Image formation theory
(110.3000) Imaging systems : Image quality assessment
(110.3960) Imaging systems : Microlithography
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization
Yasuyuki Unno, "Point-spread function for a rotationally symmetric birefringent lens," J. Opt. Soc. Am. A 19, 781-791 (2002)