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The spread of valence band Wannier functions in semiconductors and insulators is a characteristic property that gives a rough estimation of how insulating is the material. We elaborate that the gauge-invariant part of the spread can be…

Materials Science · Physics 2024-10-29 Luis F. Cárdenas-Castillo , Shuai Zhang , Denis Kochan , Fernando L. Freire , Wei Chen

We present a simple and robust approach to reduce laser speckle, which has limited the adoption of lasers in imaging and display applications. We use colloidal solutions that can quickly reduce speckle contrast due to the Brownian motion of…

Optics · Physics 2017-03-30 Brandon Redding , Graham Allen , Eric R. Dufresne , Hui Cao

The common and traditional method for dispersion compensation in optical domain is concatenating the transmit optical fiber by a compensating optical fiber having high-negative dispersion coefficient. In this paper, we take an opposite…

Information Theory · Computer Science 2016-09-06 Mohammad Hadi , Farokh Marvasti , Mohammad Reza Pakravan

A general method is presented to unfold band structures of first-principles super-cell calculations with proper spectral weight, allowing easier visualization of the electronic structure and the degree of broken translational symmetry. The…

Materials Science · Physics 2010-06-29 Wei Ku , Tom Berlijn , Chi-Cheng Lee

We investigate an interpolation/extrapolation method that, given scattered observations of the Fourier transform, approximates its inverse. The interpolation algorithm takes advantage of modelling the available data via a shape-driven…

Numerical Analysis · Mathematics 2021-09-22 Emma Perracchione , Anna Maria Massone , Michele Piana

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding…

Materials Science · Physics 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation. After presenting the natural extension of cubic splines to the Wasserstein space, we…

Optimization and Control · Mathematics 2018-07-27 Jean-David Benamou , Thomas Gallouët , François-Xavier Vialard

Interference is the mechanism through which waves can be structured into the most fascinating patterns. While for sensing, imaging, trapping, or in fundamental investigations, structured waves play nowadays an important role and are…

The purpose of this paper is to investigate the scattering by a nonlinear crystal whose depth is about the wavelength of the impinging field. More precisely, an infinite nonlinear slab is illuminated by an incident field which is the sum of…

Optics · Physics 2010-11-22 Pierre Godard , Frederic Zolla , Andre Nicolet

The ill-posed problem of phase retrieval in optics, using one or more intensity measurements, has a multitude of applications using electromagnetic or matter waves. Many phase retrieval algorithms are computed on pixel arrays using discrete…

Image and Video Processing · Electrical Eng. & Systems 2022-09-21 J. A. Pollock , K. S. Morgan , L. C. P. Croton , M. K. Croughan , G. Ruben , N. Yagi , H. Sekiguchi , M. J. Kitchen

A computational method to obtain optical conductivities from first principles is presented. It exploits a relation between the conductivity and the complex dielectric function, which is constructed from the full electronic band structure…

Materials Science · Physics 2011-09-14 Arno Schindlmayr

We develop two new ideas for interpolation on $\mathbb{S}^2$. In this first part, we will introduce a simple interpolation method named \textit{Spherical Interpolation of orDER} $n$ (SIDER-$n$) that gives a $C^{n}$ interpolant given $n \geq…

Numerical Analysis · Mathematics 2022-12-06 Ki Wai Fong , Shingyu Leung

Orbital magnetic susceptibility involves rich physics such as interband effects despite of its conceptual simplicity. In order to appreciate the rich physics related to the orbital magnetic susceptibility, it is essential to derive a…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Toshikaze Kariyado , Hiroyasu Matsuura , Masao Ogata

We study the effect of spatial dispersion of crystal modes on optical properties such as the reflectivity $R$. As an example for isotropic media, we investigate the simplest model for phonons in ionic crystals and compare with previous…

Optics · Physics 2009-11-10 I. Kaelin , Ch. Helm , G. Blatter

Understanding how laser light scatters from realistic mirror surfaces is crucial for the design, com- missioning and operation of precision interferometers, such as the current and next generation of gravitational-wave detectors. Numerical…

Optics · Physics 2016-01-20 Daniel Brown , Rory Smith , Andreas Freise

This paper presents an applied analysis of local and global methods, with a focus on the Horn-Schunck algorithm for optical flow computation. We explore the theoretical and practical aspects of local approaches, such as the Lucas-Kanade…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Haytham Ziani

We report a new computational method based on the recursive Green's function technique for calculation of light propagation in photonic crystal structures. The advantage of this method in comparison to the conventional finite-difference…

Optics · Physics 2009-11-11 A. I. Rahachou , I. V. Zozoulenko

We discuss a method for determining the optimally-localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid. By ``generalized Wannier functions'' we mean a set of localized orthonormal…

Materials Science · Physics 2009-10-30 Nicola Marzari , David Vanderbilt

We present VIINTER, a method for view interpolation by interpolating the implicit neural representation (INR) of the captured images. We leverage the learned code vector associated with each image and interpolate between these codes to…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Brandon Yushan Feng , Susmija Jabbireddy , Amitabh Varshney

Nonlinear optical responses are becoming increasingly relevant for characterizing the symmetries and quantum geometry of electronic phases in materials. Here, we develop an expanded diagrammatic scheme for calculating spatially dispersive…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Steven Gassner , Eugene J. Mele
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