Strehl ratio as the Fourier transform of a probability density of error differences

Miguel A. Alonso*, G. W. Forbes

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)

    Abstract

    To give useful insight into the impact of mid-spatial frequency structure on optical performance, the Strehl ratio is shown to correspond to the Fourier transform of a simple statistical characterization of the aberration in the exit pupil. This statistical description is found simply by autocorrelating a histogram of the aberration values. In practice, the histogram itself can often be approximated by a convolution of underlying histograms associated with fabrication steps and, together with the final autocorrelation, it follows from the central limit theorem that the Strehl ratio as a function of the scale of the phase error is generally approximated well by a Gaussian.

    Original languageEnglish
    Pages (from-to)3735-3738
    Number of pages4
    JournalOptics Letters
    Volume41
    Issue number16
    DOIs
    Publication statusPublished - 15 Aug 2016

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