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The values of the signal-to-noise ratio are determined, at which the method of processing X-ray diffraction data reveals reflections with intensity less than the noise component of the background. The possibilities of the method are…

Combinatorics, like computer science, often has to deal with large objects of unspecified (or unusable) structure. One powerful way to deal with such an arbitrary object is to decompose it into more usable components. In particular, it has…

Combinatorics · Mathematics 2011-11-10 Terence Tao

The phenomenon of wave packet diffraction in space and time is described. It consists in a diffraction pattern whose spatial location progresses with time. The pattern is produced by wave packet quantum scattering off an attractive or…

Quantum Physics · Physics 2008-11-26 G. Kälbermann

The integration of machine learning techniques in materials discovery has become prominent in materials science research and has been accompanied by an increasing trend towards open-source data and tools to propel the field. Despite the…

Materials Science · Physics 2026-05-27 Daniel Persaud , Logan Ward , Jason Hattrick-Simpers

In this work, we present a detailed procedure of computer implementation of the laws of refraction and reflection on an arbitrary surface with rotational symmetry with respect to the propagation axis. The goal is to facilitate the…

Optics · Physics 2025-01-07 J. E. Gómez-Correa , A. L. Padilla-Ortiz , S. Chávez-Cerda

Optical spectroscopy is an important and widely used technique, for instance, to characterize new materials and to identify unknown compounds. Spectra are typically reported as a function of the wavelength of light, yet the information…

Optics · Physics 2026-05-06 Erik F. Woering , Richard Hildner

The idea that one can build a solid-state device that lets heat flow more easily in one way than in the other, forming a heat valve, is counter-intuitive. However the design of a thermal rectifier can be easily understood from the basic…

Materials Science · Physics 2007-05-23 Michel Peyrard

Surface topography dictates the deterministic functionality of diffraction by a surface. In order to maximize the efficiency with which a diffractive optical component, such as a grating or a diffractive lens, directs light into a chosen…

The refraction is theoretically considered of ultimately short pulses at interface of two dielectrics that contains a thin film of nonlinear metamaterial. For the model of metamaterial composed of nanoparticles and magnetic nanocircuits…

Pattern Formation and Solitons · Physics 2009-11-13 Sergei Elyutin , Sergei Ozhenko , Andrei Maimistov

Ideal absorption describes a particular means of optimizing light-matter interactions with a host of potential applications. This work presents new analytic formulas and describes semi-analytical methods for the design of electric or…

Optics · Physics 2014-10-08 Victor Grigoriev , Nicolas Bonod , Jerome Wenger , Brian Stout

Negative refraction is demonstrated in one-dimensional (1D) dielectric photonic crystals (PCs) at microwave frequencies. Focusing by plano-concave lens made of 1D PC due to negative refraction is also demonstrated. The frequency-dependent…

Other Condensed Matter · Physics 2009-11-11 P. Vodo , W. T. Lu , Y. Huang , S. Sridhar

By suitably generalizing the Fourier constraint projection in the difference map phasing algorithm, an object can be reconstructed from its diffraction pattern even when the latter has been incoherently averaged over a discrete group of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Veit Elser

To derive a program for a given specification R means to find an artifact P that satisfies two conditions: P is executable in some programming language; and P is correct with respect to R. Refinement-based program derivation achieves this…

Software Engineering · Computer Science 2018-10-24 Marwa Benabdelali , Lamia Labed Jilani , Wided Ghardallou , Ali Mili

From the fundamental requirement of causality, we derive a rigorous criterion of negative refraction (left-handedness). This criterion imposes the lower limits on the electric and magnetic losses in the region of the negative refraction. If…

Materials Science · Physics 2007-05-23 Mark I. Stockman

In this work, we propose the generation of diffraction resistant beams by using a parabolic reflector and a source of spherical waves positioned at a point slightly displaced from its focus (away from the reflector). In our analysis,…

The path tracing method generates incoherent rays by randomly sampling directions. This randomness makes it unsuitable for modern processor architectures that rely on coherence to achieve optimal performance. Many efforts have been made to…

Graphics · Computer Science 2023-10-12 Fengqi Liu , Zaonan Tan , Weilai Xiang , Chenhao Lu , Dan Li , Xu Gong , Yulong Shi , Songnan Shi , Qilong Kou , Bo Hu

The refractive index of single microparticles is derived from precise measurement and rigorous modeling of the stiffness of a laser trap. We demonstrate the method for particles of four different materials with diameters from 1.6 to 5.2…

High-throughput synthesis of solution-processable structurally variable small-molecule semiconductors is both an opportunity and a challenge. A large number of diverse molecules provide a possibility for quick material discovery and machine…

Invisibility cloaking imposes strict conditions on the refractive index profiles of cloaking media that must be satisfied to successfully hide an object. The first experimental demonstrations of cloaking used artificial metamaterials to…

Optics · Physics 2012-06-19 Darran F. Milne , Natalia Korolkova

Many signals in Nature, technology and experiment have a multi-component structure. By spectral decomposition and projection on the eigenvectors of a family of unitary operators, a robust method is developed to decompose a signals in its…

Plasma Physics · Physics 2015-05-13 Francoise Briolle , Ricardo Lima , Vladimir I. Man'ko , R. Vilela Mendes