We outline an approach for the calculation of the mean focal length of an aberrated lens and provide closed-form solutions that show that the focal length of the lens is dependent on the presence of defocus, x-astigmatism, and spherical aberration. The results are applicable to Gaussian beams in the presence of arbitrary-sized apertures. The theoretical results are confirmed experimentally, showing excellent agreement. As the final results are in algebraic form, the theory may readily be applied in the laboratory if the aberration coefficients of the lens are known.
© 2011 Optical Society of America
Original Manuscript: March 17, 2011
Revised Manuscript: April 20, 2011
Manuscript Accepted: April 21, 2011
Published: June 23, 2011
Cosmas Mafusire and Andrew Forbes, "Mean focal length of an aberrated lens," J. Opt. Soc. Am. A 28, 1403-1409 (2011)