Journal ArticleDOI
Phase-space representations as a tool for the evaluation of the polychromatic OTF
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In this article, the ambiguity function of the generalized pupil function of an optical system is a display of all the monochromatic OTFs with the longitudinal chromatic aberration as variable.About:
This article is published in Optics Communications.The article was published on 1993-02-15. It has received 15 citations till now. The article focuses on the topics: Pupil function & Wigner distribution function.read more
Citations
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Journal ArticleDOI
Wigner distribution function for paraxial polychromatic optics
TL;DR: In this article, a Wigner distribution function of position, momentum and wavelength is defined for one-and two-Gaussian polychromatic wavefields. But the definition is based on the Heisenberg-Weyl group.
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Phase pupil functions for focal-depth enhancement derived from a Wigner distribution function.
TL;DR: A method for obtaining phase-retardation functions, which give rise to an increase of the image focal depth, is proposed, where the Wigner distribution function corresponding to a specific aperture that has an associated small depth of focus is conveniently sheared in the phase-space domain to generate a new WignER distribution function.
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Analysis of the Strehl ratio using the Wigner distribution function
TL;DR: In this article, a coordinate transformation that is defined for a general annular aperture is employed to convert the pupil amplitude transmittance into a one-dimensional function and it is shown that the single display of the Wigner distribution function associated with this modified pupil contains all the values of the Strehl ratio along the optical axis.
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Polychromatic axial behavior of aberrated optical systems: Wigner distribution function approach.
TL;DR: A new method is proposed for the computation of the tristimuli values that correspond to the impulse response along the optical axis provided by an imaging optical system working under polychromatic illumination that shows that all the monochromatic irradiance distributions can be obtained from the Wigner distribution function associated with a certain version of the pupil function of the system.
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Analysis of the irradiance along different paths in the image space using the Wigner distribution function
TL;DR: In this article, the intensity distribution along different paths in the image space of an optical system is described in a two-dimensional phase-space domain in terms of the Wigner distribution function.
References
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Journal ArticleDOI
The ambiguity function as a polar display of the OTF
TL;DR: In this article, it was shown that the Ambiguity function of the generalized pupil function of an optical system is a polar display of the optical transfer function with the focus error as variable.
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Ambiguity function as a design tool for high focal depth
TL;DR: The optical transfer functions for variable focus error are contained as a single picture representation in the ambiguity function that is associated with the pupil function, which is shown to be useful for designing pupil functions that increase the depth of focus.
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Misfocus tolerance seen by simple inspection of the ambiguity function.
TL;DR: This work compares the tolerance to defocus of a transparent but finite extended pupil and a pupil with a central obscuration to show the effect of focus error.
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Phase-space representation of the Strehl ratio: ambiguity function
TL;DR: In this article, the Fourier spectrum of the Strehl ratio versus defocus for variable spherical aberration can be analyzed from a single picture using a phase-space representation: Woodward's ambiguity function.
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Calculation of Axial Polychromatic Optical Transfer Function
TL;DR: In this article, a computer program has been developed and calculated results are compared with measurements, and the formulae necessary to extend from the monochromatic to the polychromatic OTF are developed for the axial case.