Diffraction Theory of the Aberrations of a Slit Aperture

Abstract
The aberrations of a slit aperture are classified in terms of Legendre polynomials instead of the usual power series. An expression is obtained for the Strehl criterion in the presence of all aberrations, provided they are small. Power-series expansions are developed for the point spread function for a single aberration. Finally, the Maréchal balancing theory is studied and shown to lead to the same aberration polynomials.

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