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The versatility of optics enables the design of a wide range of elegant beam instrumentation. Multiple properties of particle beams can be precisely measured by various optical techniques, which include: direct sampling of optical radiation…

Accelerator Physics · Physics 2020-07-23 Stephen Gibson

Complex-linearization of a class of systems of second order ordinary differential equations (ODEs) has already been studied with complex symmetry analysis. Linearization of this class has been achieved earlier by complex method, however,…

Classical Analysis and ODEs · Mathematics 2016-10-31 Hina M. Dutt , M. Safdar

We compute the linear optical properties of different reconstructions of the clean and hydrogenated Si(100) surface within DFT-LDA, using norm-conserving pseudopotentials. The equilibrium atomic geometries of the surfaces, determined from…

Materials Science · Physics 2009-10-31 Maurizia Palummo , Giovanni Onida , Rodolfo Del Sole , Bernardo Mendoza

A microscopic theory for the luminescence of ordered semiconductors is modified to describe photoluminescence of strongly disordered semiconductors. The approach includes both diagonal disorder and the many-body Coulomb interaction. As a…

Disordered Systems and Neural Networks · Physics 2007-08-22 P. Bozsoki , M. Kira , W. Hoyer , T. Meier , I. Varga , P. Thomas , S. W. Koch

For a nonlinear ordinary differential equation with time delay, the differentiation of the solution with respect to the delay is investigated. Special emphasis is laid on the second-order derivative. The results are applied to an associated…

Optimization and Control · Mathematics 2024-05-24 Karl Kunisch , Fredi Troeltzsch

The linear response theory is used to describe magnetoresistance oscillations of short-period unilateral superlattices with strong modulation (or alternatively arrays of coupled quantum wires). The semiclassical description of this system…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Karel Vyborny , Ludvik Smrcka , Rainer A. Deutschmann

We study optical responses of Leggett modes in multiband superconductors in the linear response regime. The Leggett mode is a collective mode unique to multiband superconductors that arises from relative phase fluctuations of…

Strongly Correlated Electrons · Physics 2022-04-12 Takumi Kamatani , Sota Kitamura , Naoto Tsuji , Ryo Shimano , Takahiro Morimoto

Quantifying materials' dynamical responses to external electromagnetic fields is central to understanding their physical properties. Here we present an implementation of the density functional perturbation theory for the computation of…

Materials Science · Physics 2023-01-03 Xiaoqiang Liu , Yihao Lin , Ji Feng

Raman spectroscopy is frequently used to identify composition, structure and layer thickness of 2D materials. Here, we describe an efficient first-principles workflow for calculating resonant first-order Raman spectra of solids within…

Materials Science · Physics 2020-07-15 A. Taghizadeh , U. Leffers , T. G. Pedersen , K. S. Thygesen

We explore the electrodynamic coupling between a plane wave and an infinite two-dimensional periodic lattice of magneto-electric point scatterers, deriving a semi-analytical theory with consistent treatment of radiation damping,…

Optics · Physics 2013-12-16 Per Lunnemann , Ivana Sersic , A. Femius Koenderink

We study optical manifestations of multigap band topology in multiband superconductors with a nontrivial topological Euler class. We introduce a set of lattice models for non-Abelian superconductors with the Euler invariant signified by a…

Superconductivity · Physics 2025-08-12 Chun Wang Chau , Wojciech J. Jankowski , Robert-Jan Slager

Experimental measurements of the second order susceptibilities for the second harmonic generation are reported for YAl3(BO3)4 (YAB) single crystals for the two principal tensor components xyz and yyy. First principles calculation of the…

Materials Science · Physics 2008-05-13 Ali H. Reshak , S. Auluck , A. Majchrowski , I. V. Kityk

Some properties of global solution of scalar Riccati equation are studied. On the basis of these properties using the Whiburn's and Leighton - Nehary's theorems some oscillatory and criteria are proved for second order linear systems of…

Classical Analysis and ODEs · Mathematics 2021-04-13 G. A. Grigorian

Complete characterization of a multimode optical process has paved the way for understanding complex optical phenomena, leading to the development of novel optical technologies. Until now, however, characterizations have mainly focused on a…

Quantum Physics · Physics 2026-05-13 Geunhee Gwak , Chan Roh , Young-Do Yoon , M. S. Kim , Young-Sik Ra

Linear and nonlinear optical absorption coefficients of the two-dimensional semiconductor ring in the perpendicular magnetic field $\bf B$ are calculated within independent electron approximation. Characteristic feature of the energy…

Mesoscale and Nanoscale Physics · Physics 2014-03-03 O. Olendski , T. Barakat

A next-to-leading order correction to the high-energy factorization limit of radiation spectrum from an ultrarelativistic electron scattering in an external field is evaluated. Generally, it does not express through scattering…

High Energy Physics - Phenomenology · Physics 2017-10-25 M. V. Bondarenco

The angular spectrum theory is applied to the nonlinear harmonic generation process in optical superlattices. Several explicit and analytical structure functions are deduced to design optical superlattices for various purposes. Employing…

Linear response methods applied to electron systems often display a level of accuracy which is notable when viewed in terms of the strengths of perturbing interactions. Neglect of higher response terms is in fact justifiable in many cases…

Materials Science · Physics 2016-08-31 A. A. Louis , N. W. Ashcroft

Two-dimensional Dirac materials with a flat band have been demonstrated to possess a plethora of unusual electronic properties, but the optical properties of these materials are less studied. Utilizing $\alpha$-$\mathcal{T}_3$ lattice as a…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Chen-Di Han , Ying-Cheng Lai

In this work, the difficulties inherent to perturbative calculations in the velocity gauge are addressed. In particular, it is shown how calculations of nonlinear optical responses in the independent particle approximation can be done to…