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13 November 2014 Effects of lens aberrations in phase space
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Phase space distributions such as the Wigner Distribution Function are very powerful tools to characterize the behavior of optical beams propagating in various optical systems. For instance, it is well known that when a beam passes through an ideal thin lens, the associated Wigner distribution function experiences a shear along the frequency axes. However, practical optical systems are not ideal. One must take the lens aberrations into account when analyzing and designing an optical system, in particular for imaging and metrology applications. In this paper, we present a theoretical and numerical study of how the Wigner Distribution Function evolves when a beam passes through a thin lens with aberrations characterized by the Zernike polynomials. The result shows that a deformation effect occurs in the Wigner distribution function when aberrations present. Thus the design of optical imaging and metrology systems is to reduce or eliminate the deformation from phase space optics point of view.
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Guohai Li and Guohai Situ "Effects of lens aberrations in phase space", Proc. SPIE 9276, Optical Metrology and Inspection for Industrial Applications III, 927613 (13 November 2014);


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