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Image construction: optimum amplitude and phase masks in photolithography

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Abstract

It is desired to preprocess an input image so that when it is distorted by an imaging system a prescribed output image is produced. The system of interest is a linear shift-invariant bandlimited system followed by an absolute value squaring operation and a hardlimiter. This is the system that represents coherent image formation using a high-contrast printer. A complex-valued solution is found using an iterative method which employs alternating projections, first onto the set of bandlimited functions, then onto the set of functions whose magnitudes are above and below the desired theshold. Enlarging the class of allowed inputs to include complex-valued signals, instead of real-valued signals, widens the domain of possible solutions to include solutions for problems with smaller –bandwidth products.

© 1985 Optical Society of America

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