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The three-dimensional transfer function and phase space mappings

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Abstract: For paraxial wave-fields in two dimensions, it is known that the defocused OTF is given by a section through the ambiguity function. This is no longer true for high aperture fields. It is shown that there is a simple relationship, even for high aperture fields, between the two-dimensional (one transverse and one longitudinal) generalized OTF and the spectral correlation function. The connection with the Wigner distribution function is also discussed. The generalization to three-dimensional wavefields is also considered.

Keywords: OTF, phase retrieval; Transforms, Wigner distribution function; ambiguity function; diffraction; phase space representations; propagation

Document Type: Original Article


Affiliations: Physical Optics Department, School of Physics, University of Sydney, NSW 2006, Australia

Publication date: 2001-05-01

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