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Defocus sensitivity optimization using the defocus Taylor expansion of the optical transfer function

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Abstract

The Taylor expansion of the incoherent optical transfer function with respect to defocus is a valuable tool in the design and analysis of computational imaging systems. It efficiently describes the behavior of the system near best focus and beyond. Formulas for computing the coefficients in this expansion are derived and shown to be amenable to efficient digital calculation. Their application to the design of phase masks for systems insensitive to defocus aberrations and for systems that estimate object range are explored.

© 2008 Optical Society of America

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