Abstract
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
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