ANALYSIS OF THE STREHL RATIO USING THE WIGNER DISTRIBUTION FUNCTION

The on-axis intensity distribution, or the Strehl ratio versus defocus , is described in a phase-space domain in terms of the Wigner distribu tion function. A coordinate transformation that is defined for a gener al annular aperture is employed to convert the pupil amplitude transmi ttance into a one-dimensional function. We show that the single displa y of the Wigner distribution function associated with this modified pu pil contains all the values of the Strehl ratio along the optical axis . The analysis is performed for two primary aberrations: coma and asti gmatism.