Coherent modes of X-ray beams emitted by undulators in new storage rings

Synchrotron radiation emitted by electrons passing through an undulator placed in a storage ring is decomposed in coherent modes. The case of ultimate storage rings where the electron emittance is comparable to the emittance of the photon fan is analyzed by means of the cross spectral density and the coherent mode spectrum. The proposed method permits naturally the statistical analysis and propagation of the cross spectral density along the beamline optics. The coherence properties of the X-ray beam at any point of the beamline are completely given in terms of the eigenvalues and coherent modes of the cross spectral density.Comment: 5 pages, 6 Figures, 17 reference

About the coherent fraction of synchrotron emission

Coherent fraction is a concept widely used in the synchrotron radiation community. Here I discuss the meaning of coherent fraction, an accurate way to define it, and the different formulations found in literature to calculate it. After several comparisons using values from the present and future ESRF lattices, an approximated way to quickly compute it is proposed.Comment: 6 pages, 3 figures, to be submitted to Journal of Synchrotron Radiatio

Weighted Kernel regression

In the fixed design regression model, additional weights are considered for the Nadaraya--Watson and Gasser--M\"uller kernel estimators. We study their asymptotic behavior and the relationships between new and classical estimators. For a simple family of weights, and considering the IMSE as global loss criterion, we show some possible theoretical advantages. An empirical study illustrates the performance of the weighted estimators in finite samples.Asymptotic behavior, fixed design, nonparametric regression, smoothing

Let Me Whisper

Man and woman dancing next to palm tree; Palm trees and moon in backgroundhttps://scholarsjunction.msstate.edu/cht-sheet-music/7986/thumbnail.jp

El proyecto educativo del andalucismo histórico (1915-1923): una propuesta pedagógica alternativa

El andalucismo cultural de finales del XIX y comienzos del XX consigue articularse como alternativa política en el espectro ideológico de Andalucía con el liderazgo de Blas Infante y, fundamentalmente, tras la publicación de su obra Ideal Andaluz en 1915. Entre las tesis programáticas enunciadas en este y sucesivos libros, se encuentran numerosas propuestas sobre enseñanza. Es tal la relevancia que se otorga a la educación que este mismo autor publica, en 1921, una obra titulada La Dictadura Pedagógica.Esta comunicación es resultado del proyecto de investigación denominado “Influencia de las ideas sobre el Estado en la configuración del moderno sistema educativo (1900-1931)”, (IP Isabel Grana Gil), perteneciente al I Plan Propio de Investigación y Transferencia. Ayudas para el fomento de proyectos de investigación en Ciencias Sociales y Jurídicas, Humanidades, Arquitectura y Bellas Artes de la Universidad de Málaga. ORCID: https://orcid.org/0000-0002-0993-4809.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

Studies for Type-I, type-II and Type-III Intermittencies.

There are several topics in fluid mechanics where the intermittency phenomenon appears, such as in Lorenz systems, Rayleigh-Bénard convection, DNLS equation and turbulence. The correct evaluation of the intermittency phenomenon contributes to a better prediction and a proper description of these topics. We summarized here a new method we have recently proposed to evaluate the reinjection probability function for type-II and type-III intermittencies. The new reinjection probability density (RPD) has been observed in the broad class of maps, as we have checked by both numerical simulations and analytical studies. For type-II and type-III intermittencies, we presented a new one-parameter family of functions describing the reinjection probability, being the usual type-II uniform reinjection probability a particular case of our RPD. For the type-III case, a new two-parameter family of RPD has been found from which one can derive the lower bound of reinjection (LBR). By extending the preceding analysis of type-II and type-III intermittencies, we give here a new RPD for the type-I case, from which we also derive the densities of the laminar phase lengths and the new characteristic relations