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Proceedings Paper

Design and optimization of the cubic-phase pupil for the extension of the depth of field of task-based imaging systems
Author(s): Saeed Bagheri; Paulo E. X. Silveira; Ramkumar Narayanswamy; Daniela Pucci de Farias
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Paper 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.

Paper Details

Date Published: 30 August 2006
PDF: 10 pages
Proc. SPIE 6311, Optical Information Systems IV, 63110R (30 August 2006); doi: 10.1117/12.681284
Show Author Affiliations
Saeed Bagheri, Massachusetts Institute of Technology (United States)
Paulo E. X. Silveira, CDM Optics, Inc. (United States)
Ramkumar Narayanswamy, CDM Optics, Inc. (United States)
Daniela Pucci de Farias, Massachusetts Institute of Technology (United States)


Published in SPIE Proceedings Vol. 6311:
Optical Information Systems IV
Bahram Javidi; Demetri Psaltis; H. John Caulfield, Editor(s)

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