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The Modulation Transfer Function for a diffraction limited lens has been calculated for the cases of coherent, partially coherent, and incoherent illumination. These treatments have been based on mathematical transforms that are not necessarily well understood by the practicing optical engineer. Thus, while the results may be used daily, there is not a clear understanding of why the results are valid.
Vance J. Carpenter
"The ABBE Development Of Diffraction Limited MTF", Proc. SPIE 0013, Modulation Transfer Function, (1 September 1968); https://doi.org/10.1117/12.946749
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Vance J. Carpenter, "The ABBE Development Of Diffraction Limited MTF," Proc. SPIE 0013, Modulation Transfer Function, (1 September 1968); https://doi.org/10.1117/12.946749