TITLE

Three-dimensional theory of weakly nonlinear Compton scattering

AUTHOR(S)
Albert, F.; Anderson, S. G.; Gibson, D. J.; Marsh, R. A.; Siders, C. W.; Barty, C. P. J.; Hartemann, F. V.
PUB. DATE
January 2011
SOURCE
Physics of Plasmas;Jan2011, Vol. 18 Issue 1, p013108
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Nonlinear effects are known to occur in light sources when the wiggler parameter, or normalized 4-potential, [formula], approaches unity. In this paper, it is shown that nonlinear spectral features can appear at arbitrarily low values of A if the fractional bandwidth of the undulator, Δ[lowercase_phi_synonym]-1, is sufficiently small and satisfies the condition A2Δ[lowercase_phi_synonym]∼1. Consequences for the spectral brightness of Compton scattering light sources are outlined. Compton and Thomson scattering theories are compared with the Klein-Nishina cross-section formula to highlight differences in the case of narrow band gamma-ray operation. A weakly nonlinear Compton scattering theory is developed in one (plane wave) and three (local plane wave approximation) dimensions. Analytical models are presented and benchmarked against numerical calculations solving the Lorentz force equation with a fourth-order Runge-Kutta algorithm. Finally, narrow band gamma-ray spectra are calculated for realistic laser and electron beams.
ACCESSION #
57679383

 

Related Articles

  • Analytical evaluation of jamming transition problem. Ganji, S.S.; Barari, A.; Najafi, M.; Domairry, G. // Canadian Journal of Physics;Jun2011, Vol. 89 Issue 6, p729 

    This paper applies two powerful analytical approximation methods to the jamming transition problem (JTP) of traffic flow networks. The governing equations are modeled on the Lorentz system and take the form of a nonlinear nonconservative oscillator. We describe and implement the homotopy...

  • SOLUTION OF NONLINEAR OSCILLATORS WITH FRACTIONAL NONLINEARITIES BY USING THE MODIFIED DIFFERENTIAL TRANSFORMATION METHOD. MERDAN, Mehmet; GÖKDOĞAN, Ahmet // Mathematical & Computational Applications;Aug2011, Vol. 16 Issue 3, p761 

    In this paper, an aproximate analytical method called the differential transform method (DTM) is used as a tool to give approximate solutions of nonlinear oscillators with fractional nonlinearites. The differential transformation method is described in a nuthsell. DTM can simply be applied to...

  • Approximation methods for second order nonlinear polylocal problems. Pop, Daniel N.; Trîmbiţaş, Radu T. // Studia Universitatis Babes-Bolyai, Mathematica;2011, Vol. 56 Issue 2, p515 

    Consider the problem: y′ (x) + f(x, y) = 0, x ε [0, 1] y(a) = α y(b) = β, a, b ε (0, 1). This is not a two-point boundary value problem since a, b 2 (0, 1). It is possible to solve this problem by dividing it into the three problems: a two-point boundary value problem (BVP) on...

  • Numerical study of Peakons and k-Solitons of the Camassa-Holm and Holm-Hone equations. Popov, S. // Computational Mathematics & Mathematical Physics;Jul2011, Vol. 51 Issue 7, p1231 

    The spectral Fourier and Runge-Kutta methods are used to study the Camassa-Holm and Holm-Hone equations numerically. Numerical results for problems with initial data leading to the generation and interaction of peakons and k-solitons are discussed.

  • He's Homotopy Method for Flow of a Conducting Fluid through a Porous Medium. Gherjalar, Hesamoddin Derili; Arzhang, Asghar; Sadeghi, Kimia; Arjmand, Neda // Journal of Applied Sciences Research;Nov2011, Vol. 7 Issue 11, p1795 

    In the present work an approximate solution is presented for Couette flow through a porous saturated parallel plates channel subjected to the Lorentz force for an electrically conducting fluid. Applying Homotopy Perturbation Method (HPM), dimensionless velocity profile has been obtained for a...

  • Study of Atomic Hydrogen in Brazilian Rubellite by EPR Spectroscopy. Isotani, S.; Pontuschka, W. M. // Physical Review & Research International;2014, Vol. 4 Issue 1, p30 

    Aims: The Electron Paramagnetic Resonance (EPR) absorption study of atomic hydrogen is an useful tool that offers perhaps the first direct experimental method to study the distribution of local ring structures in glasses and in other amorphous materials. Study Design: In the present work we...

  • Quadratic and homogeneous Hamilton-Poisson systems on A*3,6,-1. Aron, Anania; Craioveanu, Mircea; Pop, Camelia; Puta, Mircea // Balkan Journal of Geometry & Its Applications;2010, Vol. 15 Issue 1, p1 

    Let A3,6,-1 be the real Lie algebra of type (VI), the real parameter being equal to -1, in the Bianchi classification of the 3-dimensional real Lie algebras, and A*3,6,-1 the dual of the real vector space A3,6,-1. The dynamics associated to a quadratic and homogeneous Hamilton- Poisson system on...

  • Polarized seismic and solitary waves run-up at the sea bed. Dennis, L. C.C.; Zainal, A. A.; Faisal, S. Y. // AIP Conference Proceedings;Sep2012, Vol. 1482 Issue 1, p103 

    The polarization effects in hydrodynamics are studied. Hydrodynamic equation for the nonlinear wave is used along with the polarized solitary waves and seismic waves act as initial waves. The model is then solved by Fourier spectral and Runge-Kutta 4 methods, and the surface plot is drawn. The...

  • Effective computation of optimal stability polynomials. Bogatyr�v, Andrei // Calcolo;Dec2004, Vol. 41 Issue 4, p247 

    The construction of stable explicit multistage Runge-Kutta methods in 1950-1960 stumbled over a certain extremal problem for polynomials. The solution to this problem is known as the optimal stability polynomial and its computation is notoriously difficult. We propose a new method for the...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics