Nodal-line dynamics via exact polynomial solutions for coherent waves traversing aberrated imaging systems
David M. Paganin, Mario A. Beltran, Timothy C. Petersen

TL;DR
This paper derives exact polynomial solutions for 2D coherent fields passing through aberrated imaging systems, enabling detailed modeling of nodal-line dynamics in such optical systems.
Contribution
It introduces a novel method for obtaining exact polynomial solutions to model nodal-line behavior in aberrated imaging systems.
Findings
Exact polynomial solutions for coherent fields are derived.
The solutions effectively model nodal-line dynamics.
Applicable to arbitrary aberrated shift-invariant systems.
Abstract
We obtain exact polynomial solutions for two-dimensional coherent complex scalar fields propagating through arbitrary aberrated shift-invariant linear imaging systems. These are used to model nodal-line dynamics of coherent fields output by such systems.
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