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The discrete Fourier transform is approximated by summing over part of the terms with corresponding weights. The approximation reduces significantly the requirement for computer memory storage and enhances the numerical computation…

Strongly Correlated Electrons · Physics 2015-03-19 Xin-Zhong Yan

Efficient Green's function evaluation in layered media is a holy-grail of wave theory in general and for electromagnetics in particular. While there is a very large amount of knowledge in this context with vast literature, there are yet…

Computational Physics · Physics 2023-01-04 Yakir Hadad

We study coherent synchrotron radiation (CSR) in a perfectly conducting vacuum chamber of rectangular cross section, in a formalism allowing an arbitrary sequence of bends and straight sections. We apply the paraxial method in the frequency…

Accelerator Physics · Physics 2016-06-09 Robert L. Warnock , David A. Bizzozero

This paper examines the radiative transfer of synchrotron radiation in the presence of a magnetic field configuration resulting from the compression of a highly disordered magnetic field. It is shown that, provided Faraday rotation and…

High Energy Astrophysical Phenomena · Physics 2015-06-22 T. V. Cawthorne , P. A. Hughes

Undulator radiation from synchrotron light sources must be transported down a beamline from the source to the sample. A partially coherent photon beam may be represented in phase space using a Wigner function, and its transport may use some…

Accelerator Physics · Physics 2021-01-26 Boaz Nash , Nicholas Goldring , Jonathan Edelen , Stephen Webb , Rafael Celestre

Relativistic electrons accelerated by both the first-order and the second-order Fermi accelerations in some synchrotron sources have a hybrid shape of thermal and nonthermal energy distribution. This particle acceleration result is…

High Energy Astrophysical Phenomena · Physics 2018-03-14 Jirong Mao , Jiancheng Wang

We consider the maximum of the Wigner distribution (WD) of synchrotron radiation (SR) fields as a possible definition of SR source brightness. Such figure of merit was originally introduced in the SR community by Kim. The brightness defined…

Accelerator Physics · Physics 2014-07-18 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin

We present a theoretical study on the radiative self-polarization of a high-energy electron beam propagating perpendicular to a strong magnetic field. Recently, a similar setup has been proposed as a source of polarized electron and photon…

High Energy Physics - Phenomenology · Physics 2026-04-30 O. Novak , M. Diachenko , R. Kholodov

In this manuscript, we develop an efficient algorithm to evaluate the azimuthal Fourier components of the Green's function for the Helmholtz equation in cylindrical coordinates. A computationally efficient algorithm for this modal Green's…

Numerical Analysis · Mathematics 2022-10-05 James Garritano , Yuval Kluger , Vladimir Rokhlin , Kirill Serkh

An understanding of collective effects is of fundamental importance for the design and optimisation of the performance of modern accelerators. In particular, the design of an accelerator with strict requirements on the beam quality, such as…

We investigate the radiation from a charged particle rotating around a dielectric cylinder with a negative real part of dielectric permittivity. For the general case of frequency dispersion in dielectric permittivity, expressions are…

The calculation of quasi-particle spectra based on the GW approximation is extended to systems of hundreds of atoms, thus expanding the size range of current approaches by more than one order of magnitude. This is achieved through an…

Materials Science · Physics 2008-11-11 P. Umari , Geoffrey Stenuit , Stefano Baroni

In a previous paper, the convergence of the effective field theory approach of Furnstahl, Serot and Tang to the nuclear many-body problem was studied by applying it to selected doubly-magic, and neighboring single-particle and single-hole,…

Nuclear Theory · Physics 2007-05-23 M. A. Huertas

Unresolved spatially-random microstructure, in an illuminated sample, can lead to position-dependent blur when an image of that sample is formed. For a small propagation distance, between the exit surface of the sample and the entrance…

Optics · Physics 2023-08-09 David M. Paganin , Daniele Pelliccia , Kaye S. Morgan

For an exact quantitative description of spectral properties of synchrotron radiation (SR), the concept of effective width of the spectrum is introduced. In the most interesting case, which corresponds to the ultrarelativistic limit of SR,…

Quantum Physics · Physics 2016-01-20 V. G. Bagrov , D. M. Gitman , A. D. Levin , A. S. Loginov , A. D. Saprykin

The electromagnetic (EM) radiation force-per-length exerted on a pair of electrically-conducting cylindrical particles of circular and non-circular cross-sections is examined using a formal semi-analytical method based on boundary matching…

Classical Physics · Physics 2018-10-09 F. G. Mitri

To describe longitudinal fine structure like microbunching within a particle beam, a classical approach is to define a bunching factor which is the Fourier transform of the particle longitudinal density distribution. Such a 1D definition of…

Accelerator Physics · Physics 2025-11-12 Xiujie Deng

Both the standard theory of thermal radio emission and the synchrotron theory encounter some difficulties. The most crucial for the former one is nonpossibility to explain the radio spectrum of Venus in the decimeter range (Ksanfomality…

Astrophysics · Physics 2007-05-23 F. V. Prigara

One-dimensional semiconductors are characterized by strongly bound excitons. Therefore, the Frenkel regime of excitons localized within a few unit cells is readily reached and traditional Wannier exciton models become inadequate. In the…

Mesoscale and Nanoscale Physics · Physics 2026-01-15 Thomas Garm Pedersen

This paper presents a full-spectrum Green function methodology (which is valid, in particular, at and around Wood-anomaly frequencies) for evaluation of scattering by periodic arrays of cylinders of arbitrary cross section-with application…

Numerical Analysis · Mathematics 2017-04-12 Oscar P. Bruno , Agustin G. Fernandez-Lado