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Waves in excitable media can be treated by a simple geometric theory. The propagation velocity is assumed known and evolution of wave fronts is determined by elementary physical principles (Fermat's principle, Huygens' principle). Based on…

斑图形成与孤子 · 物理学 2007-05-23 Kristof Kaly-Kullai

The mathematical similarities between non-relativistic wavefunction propagation in quantum mechanics and image propagation in scalar diffraction theory are used to develop a novel understanding of time and paths through spacetime as a…

量子物理 · 物理学 2021-03-08 Sky Nelson-Isaacs

A path integral formalism for non-equilibrium systems is proposed based on a manifold of quasi-equilibrium densities. A generalized Boltzmann principle is used to weight manifold paths with the exponential of minus the information…

数学物理 · 物理学 2015-03-17 Richard Kleeman

We focus on non-stationary Maxwell equations defined on a regular patch of elements as considered in the isogeometric analysis (IGA). We apply the time-integration scheme following the ideas developed by the finite difference community [M.…

数值分析 · 数学 2021-07-20 Maciej Paszynski , Marcin Los , Judit Munoz-Matute

A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric object. The formulation provides unique solutions for all…

计算物理 · 物理学 2020-02-18 Johan Helsing , Anders Karlsson

We study quantum state tomography, entanglement detection, and channel noise reconstruction of propagating quantum microwaves via dual-path methods. The presented schemes make use of the following key elements: propagation channels, beam…

量子物理 · 物理学 2014-01-09 R. Di Candia , E. P. Menzel , L. Zhong , F. Deppe , A. Marx , R. Gross , E. Solano

A method is shown for preventing temporal broadening of ultrafast optical pulses in highly dispersive and fluctuating media for arbitrary signal-pulse profiles. Pulse pairs, consisting of a strong-field control-pulse and a weak-field…

光学 · 物理学 2021-11-17 Haider Zia

The applied method of the amplitude envelopes give us the possibility to describe a new class of amplitude equations governing the propagation of optical pulses in media with dispersion, dispersionless media and vacuum. We normalized these…

斑图形成与孤子 · 物理学 2007-05-23 Lubomir M. Kovachev

The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz…

计算物理 · 物理学 2017-10-11 Evert Klaseboer , Shahrokh Sepehrirahnama , Derek Y. C. Chan

We present a numerical approach to efficiently calculate spin-wave dispersions and spatial mode profiles in magnetic waveguides of arbitrarily shaped cross section with any non-collinear equilibrium magnetization which is translationally…

介观与纳米尺度物理 · 物理学 2024-06-12 Lukas Körber , Gwendolyn Quasebarth , Andreas Otto , Attila Kákay

We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model and several boundary conditions modelling wave injection…

偏微分方程分析 · 数学 2015-02-04 Aurore Back , Takashi Hattori , Simon Labrunie , Jean-Rodolphe Roche , Pierre Bertrand

This paper develops an efficient Monte Carlo interior penalty discontinuous Galerkin method for electromagnetic wave propagation in random media. This method is based on a multi-modes expansion of the solution to the time-harmonic random…

数值分析 · 数学 2018-06-15 Xiaobing Feng , Junshan Lin , Cody Lorton

If we use the path integral approach, we can write quantum electrodynamics (QED) in a way that is manifestly relativistic. However the path integrals are confined to paths that are on mass-shell. What happens if we extend QED by computing…

量子物理 · 物理学 2023-05-23 John Ashmead

An efficient algorithm for time propagation of the time-dependent Kohn-Sham equations is presented. The algorithm is based on dividing the Hamiltonian into small time steps and assuming that it is constant over these steps. This allows for…

计算物理 · 物理学 2014-12-03 J. K. Dewhurst , K. Krieger , S. Sharma , E. K. U. Gross

The present study deals with total internal reflection of a plane electromagnetic wave at an infinite plane boundary between a transparent medium and an amplifying or attenuating lower-index medium. Solutions of Maxwell's equations are…

光学 · 物理学 2023-06-13 Takeyuki Kobayashi

We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigroup theory. A passitivity assumption guarantees the…

偏微分方程分析 · 数学 2020-04-22 Serge Nicaise , Cristina Pignotti

We theoretically study the propagation through a resonant absorbing medium of a time-dependent perturbation modulating the amplitude of a continuous wave (cw). Modeling the medium as a system of two-level atoms and linearizing the…

光学 · 物理学 2010-09-13 Bruno Macke , Bernard Ségard

This paper proposes a frequency/time hybrid integral-equation method for the time dependent wave equation in two and three-dimensional spatial domains. Relying on Fourier Transformation in time, the method utilizes a fixed…

数值分析 · 数学 2020-04-30 Thomas G. Anderson , Oscar P. Bruno , Mark Lyon

We develop a compact perturbative series for accoustic wave propagation in a medium with a non Gaussian stochastic speed of sound. We use Martin - Siggia and Rose auxiliary field techniques to render the classical wave propagation problem…

经典物理 · 物理学 2015-06-19 Mariano Franco , Esteban Calzetta

Characterizing electromagnetic wave propagation in nonlinear and inhomogeneous media is of great interest from both theoretical and practical perspectives, even though it is extremely complicated. In fact, it is still an unresolved issue to…

经典物理 · 物理学 2017-04-28 Liang Hu , Xiao Zhang , Dazhi Zhao , MaoKang Luo