Expressions for describing Gaussian beams focused by a lens with spherical aberration have been derived. Numerical results show that, when the coefficient of the spherical aberration is negative, one can obtain flattened laser irradiance at two positions along the focused field. The larger the coefficient of negative spherical aberration, the larger the flatness is. The effect of the Fresnel number of the focusing lens on the flattened laser irradiance is also investigated.
© 1998 Optical Society of America
Original Manuscript: October 8, 1997
Revised Manuscript: March 12, 1998
Published: July 1, 1998
Jixiong Pu and Huihua Zhang, "Aberrated lenses for generating flattened laser irradiance," Appl. Opt. 37, 4200-4205 (1998)