30 August 2006 Design and optimization of the cubic-phase pupil for the extension of the depth of field of task-based imaging systems
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Abstract
In this article we study the use of the cubic-phase pupil function for extension of the depth of field of task-based imaging systems. In task-based design problems the resolution of interest varies as a function of the object distance due to change in magnification. This introduces a new challenge in the design process. We discuss how the optimal design criterion of task-based imaging systems is fundamentally different from that of visual imaging systems and formulate the optimization problem. We discuss how the use of the cubic-phase pupil function changes the spectral signal-to-noise-ratio (SNR) and modulation transfer function (MTF) in the range of the depth of field in order to fulfill our design requirements. We introduce an approximation to the problem of maximizing SNR and show that it is amenable to analytic treatment. We derive an explicit expression for the optimized cubic-phase pupil function parameters for a general problem of this class, thus establishing an upper bound for the extension of the depth of field using cubic-phase Wavefront Coding.
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Saeed Bagheri, Saeed Bagheri, Paulo E. X. Silveira, Paulo E. X. Silveira, Ramkumar Narayanswamy, Ramkumar Narayanswamy, Daniela Pucci de Farias, Daniela Pucci de Farias, } "Design and optimization of the cubic-phase pupil for the extension of the depth of field of task-based imaging systems", Proc. SPIE 6311, Optical Information Systems IV, 63110R (30 August 2006); doi: 10.1117/12.681284; https://doi.org/10.1117/12.681284
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