2016
Alonso, Miguel A.; Forbes, G. W.
Strehl ratio as the Fourier transform of a probability density of error differences Journal Article
In: Optics Letters, vol. 41, no. 16, pp. 3735-3738, 2016.
Abstract | Links | BibTeX | Tags: CeFO, Mid-Spatial Frequency error, Strehl ratio
@article{Alonso2016,
title = {Strehl ratio as the Fourier transform of a probability density of error differences},
author = {Miguel A. Alonso and G.W. Forbes},
editor = {OSA},
doi = {10.1364/OL.41.003735},
year = {2016},
date = {2016-08-04},
urldate = {2016-08-04},
journal = {Optics Letters},
volume = {41},
number = {16},
pages = {3735-3738},
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.},
keywords = {CeFO, Mid-Spatial Frequency error, Strehl ratio},
pubstate = {published},
tppubtype = {article}
}
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.