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Photons preferentially Compton scatter perpendicular to the plane of polarisation. This property can be exploited to design instruments to measure the linear polarisation of hard X-rays ($\sim$10 - 100 keV). Photons may undergo two…

Instrumentation and Detectors · Physics 2023-01-25 Ettore Del Monte , Sergio Fabiani , Mark Pearce

It is shown that quantitative information on spatial correlations in a system of polarizable particles can be extracted directly from its experimentally measurable optical spectra. For a collection of metallic nanoparticles (NPs), it is…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 R. M. S. Pereira , P. Pereira , G. Smirnov , M. I. Vasilevskiy

Intensity minima and maxima of speckle patterns obtained behind a diffuser are experimentally interchanged by applying a spiral phase delay of charge $\pm 1$ to the impinging coherent beam. This transform arises from the intuitive…

Optics · Physics 2017-02-01 Jérôme Gateau , Hervé Rigneault , Marc Guillon

We consider nearest neighbor spacing distributions of composite ensembles of levels. These are obtained by combining independently unfolded sequences of levels containing only few levels each. Two problems arise in the spectral analysis of…

Data Analysis, Statistics and Probability · Physics 2009-11-07 A. Y. Abul-Magd , H. L. Harney , M. H. Simbel , H. A. Weidenmueller

Photon coincidence spectroscopy is a promising technique for probing the nonlinear regime of cavity quantum electrodynamics in the optical domain, however its accuracy is mitigated by two factors: higher-order photon correlations, which…

Quantum Physics · Physics 2009-09-25 L. Horvath , B. C. Sanders

Large-scale quantum systems require optical coherence between distant quantum devices, necessitating spectral indistinguishability. Scalable solid-state platforms offer promising routes to this goal. However, environmental disorders,…

Quantifying coherence has received increasing attention, and considerable work has been directed towards finding coherence measures. While various coherence measures have been proposed in theory, an important issue following is how to…

Quantum Physics · Physics 2018-05-02 Da-Jian Zhang , C. L. Liu , Xiao-Dong Yu , D. M. Tong

Another way to evaluate the spectral-correlation properties of thermal fields of solids is suggested. Such a method takes into account detailed structure of the interface transition layer separating one bulk region from those of the vacuum…

Quantum Physics · Physics 2015-06-15 Illarion Dorofeyev

Sphere packings are essential to the development of physical models for powders, composite materials, and the atomic structure of the liquid state. There is a strong scientific need to be able to assess the fit of packing models to data,…

Methodology · Statistics 2009-10-31 Jeffrey Picka

For light fields, the coherence in longitudinal direction is governed by both the frequency spectra and angular spectra they possess. In this work, we develop and report a theoretical formulation to demonstrate the effect of the angular…

Optics · Physics 2019-09-04 Bhaskar Kanseri , Gaytri Arya

It is known that a spatially partially coherent light field produces better imaging contrast compared to a spatially coherent field and that the contrast increases as the spatial coherence length of the field becomes smaller. The transverse…

We study theoretically the mutual information between reflected and transmitted speckle patterns produced by wave scattering from disordered media. The mutual information between the two speckle images recorded on an array of N detection…

Disordered Systems and Neural Networks · Physics 2018-02-21 N. Fayard , A. Goetschy , R. Pierrat , R. Carminati

Line-by-line calculations are becoming the standard procedure for carrying spectral simulations. However, it is important to insure the accuracy of such spectral simulations through the choice of adapted models for the simulation of key…

Optics · Physics 2007-05-23 M. Lino da Silva

When methods of moments are used for identification of power spectral densities, a model is matched to estimated second order statistics such as, e.g., covariance estimates. If the estimates are good there is an infinite family of power…

Optimization and Control · Mathematics 2011-04-12 Per Enqvist

A physical law is represented by the probability distribution of a measured variable. The probability density is described by measured data using an estimator whose kernel is the instrument scattering function. The experimental information…

Data Analysis, Statistics and Probability · Physics 2015-05-13 I. Grabec

A general theoretical framework is developed for interpreting spectropolarimetric observations of optically thin emission line scattering from small dust particles. Spatially integrated and spatially resolved line profiles of both scattered…

Astrophysics · Physics 2009-10-22 W. J. Henney

We consider uniform moment convergence of lag-window spectral density estimates for univariate and multivariate stationary processes. Optimal rates of convergence are obtained under mild and easily verifiable conditions. Our theory…

Methodology · Statistics 2015-05-15 Wei Biao Wu , Paolo Zaffaroni

Consistency is an extension to generalized synchronization which quantifies the degree of functional dependency of a driven nonlinear system to its input. We apply this concept to echo-state networks, which are an artificial-neural network…

Dynamical Systems · Mathematics 2019-02-20 Thomas Lymburn , Alexander Khor , Thomas Stemler , Débora C. Corrêa , Michael Small , Thomas Jüngling

Linear stability analysis of speckle pattern resulting from multiple, diffuse scattering of coherent light waves in random media with intensity-dependent refractive index (noninstantaneous Kerr nonlinearity) is performed. The speckle…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov

The experimental check of two--mode Robertson uncertainty relations and inequalities for highest quadrature moments is suggested by using homodyne photon detection. The relation between optical tomograms and symplectic tomograms is used to…

Quantum Physics · Physics 2015-06-04 V. I. Man'ko , G. Marmo , A. Simoni , F. Ventriglia