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We reached this modification through a useful discussion with Jacob Politch of the Technion-Israel Institute of Technology. In working out the above result, we referred to A Short Table of Integrals, 4th edition, by B. 0. Peirce, revised by R. M. Foster (Ginn & Co., Boston, 1956).
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Zu Wen Chao, Jih Liang Chu, "Parameter Analysis For Frequency-Modulation Reticle Design," Opt. Eng. 28(12) 281316 (1 December 1989) https://doi.org/10.1117/12.7977150