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Maxwell's equations for propagation of electromagnetic waves in dispersive and absorptive (passive) media are represented in the form of the Schr\"odinger equation $i\partial \Psi/\partial t = {H}\Psi$, where ${H}$ is a linear differential…

Computational Physics · Physics 2009-11-11 Andrei G. Borisov , Sergei V. Shabanov

For autonomous systems it is well known how to extract tunneling probabilities from wavepacket calculations. Here we present a corresponding approach for periodically time-dependent Hamiltonians, valid at all frequencies, field strengths,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Frank Grossmann

Laser-plasma proton acceleration was investigated in the Target Normal Sheath Acceleration (TNSA) regime using a novel gas-foil target. The target is designed for reaching higher laser intensity at the foil plane owing to relativistic…

We derive an extension of the standard time dependent WKB theory which can be applied to propagate coherent states and other strongly localised states for long times. It allows in particular to give a uniform description of the…

Mathematical Physics · Physics 2015-06-03 Roman Schubert , Raul O. Vallejos , Fabricio Toscano

WavePacket is an open-source program package for numeric simulations in quantum dynamics. It can solve time-independent or time-dependent linear Schr\"odinger and Liouville-von Neumann-equations in one or more dimensions. Also coupled…

Quantum Physics · Physics 2023-02-09 Burkhard Schmidt , Carsten Hartmann

A set of mode-coupled excitation equations for the slowly-growing amplitudes of dielectric waveguide eigenmodes is derived as a description of the electromagnetic signal field of a high-gain free-electron laser, or FEL, including the…

Optics · Physics 2009-11-13 Erik Hemsing , Avraham Gover , James Rosenzweig

Intense laser-driven proton pulses, inherently broadband and highly divergent, pose a challenge to established beamline concepts on the path to application-adapted irradiation field formation, particularly for 3D. Here we experimentally…

We extend the $t-z$ mapping formalism of time-dependent paraxial optics by identifying configurations displaying a synthetic magnetic vector potential, leading to a non-trivial band topology in propagating geometries. We consider an…

Discrete flow mapping was recently introduced as an efficient ray based method determining wave energy distributions in complex built up structures. Wave energy densities are transported along ray trajectories through polygonal mesh…

Computational Physics · Physics 2016-12-21 Janis Bajars , David Chappell , Niels Sondergaard , Gregor Tanner

We assess the suitability of quantum and semiclassical initial value representations, exemplified by the coupled coherent states (CCS) method and the Herman Kluk (HK) propagator, respectively, for modeling the dynamics of an electronic wave…

Atomic Physics · Physics 2015-06-19 C. Zagoya , J. Wu , M. Ronto , D. V. Shalashilin , C. Figueira de Morisson Faria

In this paper, we study the synthesis of Gegenbauer processes using the wavelet packets transform. In order to simulate a 1-factor Gegenbauer process, we introduce an original algorithm, inspired by the one proposed by Coifman and…

Statistics Theory · Mathematics 2016-08-16 Jérôme Collet , Jalal Fadili

Coherent manipulation of quantum states of light is key to photonic quantum information processing. In this Letter, we show that a passive two-level nonlinearity suffices to implement non-Gaussian quantum operations on propagating field…

Quantum Physics · Physics 2024-09-06 Mads M. Lund , Fan Yang , Victor Rueskov Christiansen , Danil Kornovan , Klaus Mølmer

The interaction of a multi-Petawatt, pancake-shaped laser pulse with an unmagnetized plasma is studied analytically and numerically in the regime of fully relativistic electron jitter velocities and in the context of the laser wakefield…

Plasma Physics · Physics 2014-07-31 Dušan Jovanović , Renato Fedele , Milivoj Belić , Sergio De Nicola

We propose a quantum algorithm that simulates the propagation of a light field through a weakly inhomogeneous medium. The wave equation in the paraxial approximation in inhomogeneous material takes the form of the Schr\"odinger equation…

Quantum Physics · Physics 2026-04-01 Siavash Davani , Martin Gärttner , Falk Eilenberger

Recently, two novel techniques for the extraction of the phase-shift map (Tomassini {\it et.~al.}, Applied Optics {\bf 40} 35 (2001)) and the electronic density map estimation (Tomassini P. and Giulietti A., Optics Communication {\bf 199},…

Plasma Physics · Physics 2009-11-07 P. Tomassini , A. Giulietti , D. Giulietti , L. A. Gizzi , M. Borghesi , M. Galimberti , R. Numico

We simulate EM pulse propagation along the nonuniform earth surface using so called time-domain parabolic equation. To solve it by finite differences, we introduce a time-domain analog of the impedance boundary condition and a nonlocal BC…

Numerical Analysis · Mathematics 2007-05-23 Alexei V. Popov , Vladimir V. Kopeikin

We present new electromagnetic plasma wavepacket solutions that propagates in one time and one space coordinates. Differently to the usual plane wave solution, which is written in terms of separation of variables, all our solutions are…

Plasma Physics · Physics 2026-01-27 Felipe A. Asenjo , Swadesh M. Mahajan

An electromagnetic wave-packet propagating in a linear, homogeneous, and isotropic medium changes shape while its envelope travels with different velocities at different points in spacetime. In general, a wave-packet can be described as a…

Optics · Physics 2020-08-26 Masud Mansuripur

Non-dispersive wave packet for massless fermions is formulated on the basis of squeezed coherent states that are put in a form of common eigenfunction for the Hamiltonian and the helicity operator, starting from the Dirac equation. The wave…

High Energy Physics - Phenomenology · Physics 2012-01-09 Kelin Wang , Zexian Cao

This report is a self-contained and comprehensive review of the physics of propagating pulses of high-intensity high-energy particle beams in pre-existing or self-generated plasmas. Consideration is given to beams of electrons, protons,…

Plasma Physics · Physics 2009-01-11 Andre Gsponer