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The time-frequency integrals and the two-dimensional stationary phase method are applied to study the electromagnetic waves radiated by moving modulated sources in dispersive media. We show that such unified approach leads to explicit…

Quantum Physics · Physics 2012-12-11 Gennadiy Burlak , Vladimir Rabinovich

This paper presents a general framework for modeling dependence in multivariate time series. Its fundamental approach relies on decomposing each signal in a system into various frequency components and then studying the dependence…

Methodology · Statistics 2021-04-01 Hernando Ombao , Marco Pinto

We introduce methods for estimating the spectral density of a random field on a $d$-dimensional lattice from incomplete gridded data. Data are iteratively imputed onto an expanded lattice according to a model with a periodic covariance…

Methodology · Statistics 2019-08-12 Joseph Guinness

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

This article presents theoretical results for the dynamic response of periodically surface-modulated ferromagnetic thin films. For such system, the role of the periodic dipolar field induced by the modulation is addressed by using the…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 R. A. Gallardo , M. Langer , A. Roldán-Molina , T. Schneider , K. Lenz , J. Lindner , P. Landeros

We show that the spatial coherence of thermal radiation can be manipulated in time-modulated photonic systems supporting surface polaritons. We develop a fluctuational electrodynamics formalism for such systems to calculate the…

Optics · Physics 2023-03-01 Renwen Yu , Shanhui Fan

We analyse the constraints obtained from new atomic clock data on the possible time variation of the fine structure `constant' and the electron-proton mass ratio and show how they are strengthened when the seasonal variation of Sun's…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-25 Douglas J. Shaw , John D. Barrow

We investigate the influence of a time dependent, homogeneous electric field on scattering properties of non-interacting electrons in an arbitrary static potential. We develop a method to calculate the (Keldysh) Green's function in two…

Disordered Systems and Neural Networks · Physics 2009-10-30 Tobias Brandes

In this letter, we propose a magnet-less non-reciprocal isolating system based on time-varying metasurfaces. Two parallel time-varying metasurfaces, one for frequency up-conversion and one for down-conversion by the same amount, are used…

We experimentally demonstrate how to solve the phase problem of diffraction using multi-wave interference with standard diffraction experimental setups without the need for taking any auxiliary data. In particular, we show that the phases…

Optics · Physics 2021-05-04 M. Fally , Y. Tomita , A. Fimia , R. F. Madrigal , J. Guo , J. Kohlbrecher , J. Klepp

A body $\Theta$ containing two phases, which may form a periodic composite with microstructure much smaller that the body, or which may have structure on a length scale comparable to the body, is subjected to slowly time varying boundary…

Mathematical Physics · Physics 2023-04-26 Ornella Mattei , Graeme W. Milton , Mihai Putinar

In this paper we study the variational method and integral equation methods for a conical diffraction problem for imperfectly conducting gratings modeled by the impedance boundary value problem of the Helmholtz equation in periodic…

Numerical Analysis · Mathematics 2025-08-05 Guanghui Hu , Jiayi Zhang , Linlin Zhu

We have studied the optical properties of gratings micro-fabricated into semiconductor wafers, which can be used for simplifying cold-atom experiments. The study entailed characterisation of diffraction efficiency as a function of coating,…

Atomic Physics · Physics 2016-06-14 James P. McGilligan , Paul F. Griffin , Erling Riis , Aidan S. Arnold

An embedding method for solving the time-dependent Schr\"odinger equation is developed using the Dirac-Frenkel variational principle. Embedding allows the time-evolution of the wavefunction to be calculated explicitly in a limited region of…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. E. Inglesfield

The Smith Purcell effect, observed when an electron beam passes in the vicinity of a periodic structure, is a promising platform for the generation of electromagnetic radiation in previously-unreachable spectral ranges. However, most of the…

Simultaneous manipulation of charge and spin density distributions in materials is the key element required in spintronics applications. Here we study the formation of coupled spin and charge densities arising in scattering of electrons by…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 S. Wolski , V. K. Dugaev , E. Ya. Sherman

X-ray imaging has conventionally relied upon attenuation to provide contrast. In recent years, two complementary modalities have been added; phase contrast and dark-field x-ray imaging, capturing weakly attenuating and sub-pixel sample…

Optics · Physics 2021-11-16 Kaye S. Morgan , David M. Paganin

An efficient method for frequency domain analysis of 2D cross-field devices is presented. This work was done to analyze and design high efficiency magnetrons. Arbitrary device-geometries are described by a piecewise planar boundary. The…

Accelerator Physics · Physics 2007-05-23 Valery A. Dolgashev , Sami G. Tantawi

Diffraction of multi-level atoms by an evanescent wave reflective diffraction grating is modeled by numerically solving the time-dependent Schr\"{o}dinger equation. We are able to explain the diffraction observed in experiments with…

atom-ph · Physics 2009-10-28 D. Gordon , C. M. Savage

The study of wave propagation and scattering in time-dependent materials is a rapidly growing field of research. Whereas for 1D applications there is a simple relation between the wave equations for space-dependent and time-dependent…

Applied Physics · Physics 2025-02-07 Kees Wapenaar