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A generic novel model governing optical pulse propagation in a nonlinear dispersive amplifying medium with asymmetric (linear spectral slope) gain is introduced. We examine the properties of asymmetric optical pulses formed in such…

We present an analytical approach to the theory of nonlinear propagation in gases of femtosecond optical pulses with broad-band spectrum . The vector character of the nonlinear third-order polarization of the electrical field in air is…

Optics · Physics 2015-07-19 Lubomir M. Kovachev

Any optical structure possesses resonance modes and its response to an excitation can be decomposed onto the quasinormal and numerical modes of discretized Maxwell's operator. In this paper, we consider a dielectric permittivity that is a…

Computational Physics · Physics 2020-07-15 Alexandre Gras , Philippe Lalanne , Marc Duruflé

We develop a self-consistent Maxwell-Bloch formalism for the interaction of X-rays with two-dimensional crystalline materials by incorporating the Bloch theorem and Coulomb many-body interaction. This formalism is illustrated for graphene,…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Dominik Christiansen , Malte Selig , Jens Biegert , Andreas Knorr

We focus on the propagation properties of a single-cycle laser pulse through a two-level medium by numerically solving the full-wave Maxwell-Bloch equations. The counter-rotating terms in the spontaneous emission damping are included such…

Optics · Physics 2015-06-05 Ni Cui , Mihai A. Macovei

Propagation of extremely short electromagnetic pulses in a homogeneous doubly-resonant medium is considered in the framework of the total Maxwell-Duffing-Lorentz model, where the Duffing oscillators (anharmonic oscillators with cubic…

Pattern Formation and Solitons · Physics 2008-12-31 Y. Frenkel , I. Gabitov , A. Maimistov , V. Roytburd

We use a conceptually new approach to theoretical modeling of self-focusing in which we integrated diffractive and geometrical optics in order to explain and predict emission of white light and colored rings observed in ultrashort laser…

Optics · Physics 2014-04-02 V. V. Semak , M. N. Shneider

Out-of-plane gap solitons in 2D photonic crystals are optical beams localized in the plane of periodicity of the medium and delocalized in the orthogonal direction, in which they propagate with a nonzero velocity. We study such gap solitons…

Pattern Formation and Solitons · Physics 2012-02-17 Tomas Dohnal , Willy Doerfler

High harmonic generation in solids provides us compact and coherent UV sources. Our simulations illustrate abnormal harmonic yield dependence on the intensity of driving or pre-excitation pulses. A multielectron interference model is…

Optics · Physics 2020-01-01 Ling-Jie Lü , Xue-Bin Bian

The Maxwell equations for the electromagnetic potential, supplemented by the Lorenz gauge condition, are decoupled and solved exactly in de Sitter space-time studied in static spherical coordinates. There is no source besides the…

General Relativity and Quantum Cosmology · Physics 2009-12-17 Donato Bini , Giampiero Esposito , Roberto Valentino Montaquila

In Maxwell's classical theory of electrodynamics the fields are frequently expressed by potentials in order to facilitate the solution of the first order system of equations. This method obscures, however, that there exists an inconsistency…

General Physics · Physics 2016-10-04 Wolfgang Engelhardt

I derive unidirectional wave equations for fields propagating in materials with both electric and magnetic dispersion and nonlinearity. The derivation imposes no conditions on the pulse profile except that the material modulates the…

Optics · Physics 2014-08-04 Paul Kinsler

Propagation of ultrashort optical pulses in a dense resonant medium is considered in the semiclassical limit. In our analysis, we place emphasis on several main points. First, we study transformations of spectra in the process of pulse…

Optics · Physics 2011-07-20 Denis Novitsky

A new formulation of the Maxwell equations based on two vector and two scalar potentials is proposed. The use of these potentials allows the electromagnetic field equations to be written in the form of a hyperbolic system. In contrast to…

Classical Physics · Physics 2012-06-05 Alexey N. Kudryavtsev , Sergey I. Trashkeev

An improved formulation of the one-step model of photoemission from crystal surfaces is proposed which overcomes different limitations of the original theory. Considering the results of an electronic-structure calculation, the electronic…

Strongly Correlated Electrons · Physics 2015-06-25 C. Meyer , M. Potthoff , W. Nolting , G. Borstel , J. Braun

We describe similariton pulse propagation in double-doped optical fibers with the aid of self-similarity analysis of the cubic-quintic nonlinear Schr\"odinger equation with varying dispersion, nonlinearity, gain or absorption, and nonlinear…

Pattern Formation and Solitons · Physics 2011-07-13 Thokala Soloman Raju

Modern laser sources nowadays deliver ultrashort light pulses reaching few cycles in duration, high energies beyond the Joule level and peak powers exceeding several terawatt (TW). When such pulses propagate through optically-transparent…

Optics · Physics 2007-09-27 L. Berge , S. Skupin , R. Nuter , J. Kasparian , J. -P. Wolf

We introduce a new system of surface integral equations for Maxwell's transmission problem in three dimensions. This system has two remarkable features, both of which we prove. First, it is well-posed at all frequencies. Second, the…

Numerical Analysis · Mathematics 2024-09-13 Mahadevan Ganesh , Stuart C. Hawkins , Darko Volkov

Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the…

Optics · Physics 2009-11-10 Diana C. Skigin

Natural optical activity is the paradigmatic example of an effect originating in the weak spatial inhomogeneity of the electromagnetic field on the atomic scale. In molecules, such effects are well described by the multipole theory of…

Materials Science · Physics 2023-05-31 Óscar Pozo , Ivo Souza