Maréchal intensity criteria modified for circular apertures with nonuniform intensity transmission: Dini series approach.
Starting with the Dini expansion of a wave aberration function, a relationship is derived between the Marechal evaluation of the Strehl definition (MESD) for uniformly illuminated aperture and the MESD for an aperture with nonuniform intensity transmission. The result is particularly useful for rapid evaluation of the far-field peak-intensity degradation due to aberrations and in problems connected with aberration balancing techniques, as well as for the estimation of optical system performance when the aperture intensity distribution is varied.
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Institute for Precise and Optical Instruments Design, Warsaw Technical University, Warsaw, Poland.