Changes in the kurtosis parameter of super-Gaussian beams passing through a spherically aberrated lens

Based on the Collins formula and irradiance moments definition, the propagation of the kurtosis parameter of super-Gaussian beams through a spherically aberrated lens is studied. Detailed numerical results are given. It is shown that, as compared with aberration-free super-Gaussian beams, the profile of spherically aberrated super-Gaussian beams can be leptokurtic, mesokurtic or platykurtic, depending on the aberration and propagation distance. The results for the spherically aberrated Gaussian beams can be dealt with as a special case treated in this paper. Finally, the advantage of our method is pointed out.     

Anomale änderungen physikalischer Eigenschaften beim heterogenen Zerfall übersättigter Fe-Ni-Cu-Legierungen

Zusammenfassung Einige charakteristische ?nderungen physikalischer Werkstoffeigenschaften beim heterogenen Zerfall übers?ttigter Mischkristalle werden am Beispiel der fl?chenzentrierten Eisen-Nickel-Kupfer-Legierungen beschrieben. Bei der Behandlung des Einflusses der Ausscheidungsvorg?nge auf die Rekristallisationserscheinungen tritt die Bedeutung des übers?ttigungsgrades der zerfallenden festen L?sung für den Ablauf dieser Zustands?nderungen besonders klar zutage. Kritische Stadien der Ausscheidung und der Koagulation der heterogenen Phasen sind bei diesen Legierungen für die Erzeugung besonders hochwertiger magnetischer Eigenschaften verantwortlich. Der vorliegende Bericht wurde von Herrn Prof., Dr. Wo. Ostwald angeregt. Für das diesem Arbeitsgebiet entgegengebrachte Interesse m?chte ich Herrn Prof. Ostwald meinen besten Dank aussprechen.     

Linear demosaicing inspired by the human visual system.

There is an analogy between single-chip color cameras and the human visual system in that these two systems acquire only one limited wavelength sensitivity band per spatial location. We have exploited this analogy, defining a model that characterizes a one-color per spatial position image as a coding into luminance and chrominance of the corresponding three colors per spatial position image. Luminance is defined with full spatial resolution while chrominance contains subsampled opponent colors. Moreover, luminance and chrominance follow a particular arrangement in the Fourier domain, allowing for demosaicing by spatial frequency filtering. This model shows that visual artifacts after demosaicing are due to aliasing between luminance and chrominance and could be solved using a preprocessing filter. This approach also gives new insights for the representation of single-color per spatial location images and enables formal and controllable procedures to design demosaicing algorithms that perform well compared to concurrent approaches, as demonstrated by experiments.     

Diffraction coefficients related to cylindrically curved soft-hard surfaces

An asymptotic solution to the problem of the diffraction of high-frequency waves by the edge of a cylindrically curved surface whose convex and concave faces present soft and hard boundary conditions is obtained. The results permit us to define new diffraction coefficients related to this kind of mixed boundary conditions. When the radius of the curvature becomes infinitely large, the edgediffraction coefficient reduces to this known for the softhard half-plane.     

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