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Applied Optics
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Applied Optics
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Spatiotemporal change of sky polarization during the total solar eclipse on 29 March 2006 in Turkey: polarization patterns of the eclipsed sky observed by full-sky imaging polarimetry
Brigitta Sipo?z, Ram?eged?Gy? Kriska, G?r Horv?
Using 180° field-of-view (full-sky) imaging polarimetry, we measured the spatiotemporal change of the polarization of skylight during the total solar eclipse on 29 March 2006 in Turkey. We present our observations here on the temporal variation of the celestial patterns of the degree p and ... [Appl. Opt. 47, H1-H10 (2008)]
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Geometric optics and rainbows: generalization of a result by Huygens
John A. Adam
In 1652 Huygens derived a formula specifying the rainbow angle for the primary bow (k = 1) in terms of the refractive index only. A generalization of this result for any k ? 1 is outlined, along with an alternative representation. The details of the derivation can be found in (Adam, ... [Appl. Opt. 47, H11-H13 (2008)]
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Visibility of stars, halos, and rainbows during solar eclipses
Gunther P. K?n, Claudia Hinz
The visibility of stars, planets, diffraction coronas, halos, and rainbows during the partial and total phases of a solar eclipse is studied. The limiting magnitude during various stages of the partial phase is presented. The sky radiance during totality with respect to noneclipse conditions is ... [Appl. Opt. 47, H14-H24 (2008)]
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Influence of atmospheric and sea-surface corrections on retrieval of bottom depth and reflectance using a semi-analytical model: a case study in Kaneohe Bay, Hawaii
James A. Goodman, ZhongPing Lee, Susan L. Ustin
Hyperspectral instruments provide the spectral detail necessary for extracting multiple layers of information from inherently complex coastal environments. We evaluate the performance of a semi-analytical optimization model for deriving bathymetry, benthic reflectance, and water optical properties ... [Appl. Opt. 47, F1-F11 (2008)]
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Quantitative comparison of quadratic covariance-based anomalous change detectors
James Theiler
Simulations applied to hyperspectral imagery from the AVIRIS sensor are employed to quantitatively evaluate the performance of anomalous change detection algorithms. The evaluation methodology reflects the aim of these algorithms, which is to distinguish actual anomalous changes in a pair of images ... [Appl. Opt. 47, F12-F26 (2008)]
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Compact matrix formalism for phase space analysis of complex optical systems
Detlef-Matthias Smilgies
Phase space analysis is a powerful approximate scheme for the analysis of complex optical systems. The matrix formalism introduced makes it possible to determine all important beam characteristics as a function of the distance from the source. An algebraic approach comprising matrix transformations ... [Appl. Opt. 47, E106-E115 (2008)]
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Extending the possibilities in phase space analysis of synchrotron radiation x-ray optics
Claudio Ferrero, Detlef-Matthias Smilgies, Christian Riekel, Gilles Gatta, Peter Daly
A simple analytical approach to phase space analysis of the performance of x-ray optical setups (beamlines) combining several elements in position-angle-wavelength space is presented. The mathematical description of a large class of optical elements commonly used on synchrotron beamlines has been ... [Appl. Opt. 47, E116-E124 (2008)]
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Efficient reconstruction of two-dimensional complex amplitudes utilizing the
redundancy of the ambiguity function
Xiyuan Liu, Christian Hruscha, Karl-Heinz Brenner
In a previous paper [Opt. Commun.225, 19-30 (2003)] we presented a method to
reconstruct two-dimensional complex amplitudes by using the ambiguity function of
one-dimensional intensity scans, obtained from two optical setups involving cylindrical
lenses. We ... [Appl. Opt. 47, E1-E7 (2008)]
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Complex signal representation, Mandel's theorem, and spiral phase quadrature transform
Kedar Khare
Complex (or analytic) signal representation as introduced by Gabor plays an important role in optical signal processing and in coherence theory of optical fields. Several definitions for extending the notion of complex signal representation to two dimensions have appeared in the literature. These ... [Appl. Opt. 47, E8-E12 (2008)]
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Unifying distribution functions: some lesser known distributions
J. R. Moya-Cessa, H. Moya-Cessa, L. R. Berriel-Valdos, O. Aguilar-Loreto, P. Barberis-Blostein
We show that there is a way to unify distribution functions that describe simultaneously a classical signal in space and (spatial) frequency and position and momentum for a quantum system. Probably the most well known of them is the Wigner distribution function. We show how to unify functions of ... [Appl. Opt. 47, E13-E18 (2008)]
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