The Strehl ratio for imaging systems with circular and annular pupils aberrated by primary aberrations is considered in terms of the variance σΦ<sup>2</sup>, of the phase aberration across the pupil. Classical as well as balanced (Zernike) aberrations are considered. By comparing the actual numerical results with the approximate ones, we find that exp(-σΦ<sup>2</sup>) gives a better approximation for the Strehl ratio than does the Maréchal formula. Whereas the Maréchal formula underestimates the Strehl ratio, exp(-σΦ<sup>2</sup>) generally overestimates it, especially for annular pupils with a large obscuration.
© 1983 Optical Society of America
Virendra N. Mahajan, "Strehl ratio for primary aberrations in terms of their aberration variance," J. Opt. Soc. Am. 73, 860-861 (1983)
J. Opt. Soc. Am.
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