Abstract
The imaging performance of tomographic deconvolution phase microscopy
can be described in terms of the phase optical transfer function
(POTF) which, in turn, depends on the illumination profile. To
facilitate the optimization of the illumination profile, an analytical
calculation method based on polynomial fitting is developed to
describe the POTF for general nonuniform axially symmetric
illumination. This is then applied to Gaussian and related profiles.
Compared to numerical integration methods that integrate over a series
of annuli, the present analytical method is much faster and is equally
accurate. Further, a “balanced distribution” criterion for the POTF
and a least-squares minimization are presented to optimize the
uniformity of the POTF. An optimum general profile is found
analytically by relaxed optimal search, and an optimum Gaussian
profile is found through a tree search. Numerical simulations confirm
the performance of these optimum profiles and support the balanced
distribution criterion introduced.
© 2021 Optical Society of
America
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Data Availability
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Code
1, Ref. [37].
37. J. Huang, Y. Bao, and T. K. Gaylord, “MATLAB codes of the algorithms
used,” figshare (2021),
https://doi.org/10.6084/m9.figshare.14173637.
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