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A new model is presented for simulating coherent synchrotron radiation (CSR) in one dimension. The method is based on convolving an integrated Green function (IGF) with the longitudinal charge density. Since it is based on an IGF, the…

Accelerator Physics · Physics 2012-02-27 Robert D. Ryne , Bruce Carlsten , Ji Qiang , Nikolai Yampolsky

To study the characteristics of synchrotron radiation in magnetic fields of accelerators first the author was necessary to obtain a continuous solutions of Hill's equation. For this purpose the gradient or the components of magnetic field…

Accelerator Physics · Physics 2015-06-01 Oleg Shishanin

A measurement of the synchrotron self-absorption flux and frequency provides tight constraints on the physical size of the source and a robust lower limit on its energy. This lower limit is also a good estimate of the magnetic field and…

High Energy Astrophysical Phenomena · Physics 2013-07-23 Rodolfo Barniol Duran , Ehud Nakar , Tsvi Piran

The shearing sheet is a model dynamical system that is used to study the small-scale dynamics of astrophysical disks. Numerical simulations of particle trajectories in the shearing sheet usually employ the leapfrog integrator, but this…

Earth and Planetary Astrophysics · Physics 2011-06-17 Hanno Rein , Scott Tremaine

Dependable numerical results from long-time simulations require stable numerical integration schemes. For Hamiltonian systems, this is achieved with symplectic integrators, which conserve the symplectic condition and exactly solve for the…

Plasma Physics · Physics 2015-06-17 Stephen D. Webb

This report documents the development of a versatile model for longitudinal gradient bending magnets (LGB's) and its implementation in particle tracking simulations. The model presented below may be used to represent an arbitrary magnetic…

Accelerator Physics · Physics 2015-10-27 Noah Bittermann

Polarimetric images of accreting black holes encode important information about laws of strong gravity and relativistic motions of matter. Recent advancements in instrumentation enabled such studies in two objects: supermassive black holes…

High Energy Astrophysical Phenomena · Physics 2025-01-29 Alexandra Veledina , Matthieu Pélissier

Synchrotron radiation with the characteristic of high brilliance, high level of polarization, high collimation, low emittance and wide tunability in energy has been used as a standard source in metrology(1, 2). For a decade, lots of…

Instrumentation and Detectors · Physics 2019-08-17 LI Hua-Peng , Kun Tang , Yi-Dong Zhao , Lei Zheng , Shu-Hu Liu , Xiao-Liang Zhao , Ya-Shuai Zhao

Research on actinide materials, both basic and applied, has been greatly advanced by the general techniques available from high-intensity photon beams from x-ray synchrotron sources. The most important single reason is that such x-ray…

Materials Science · Physics 2023-03-15 R. Caciuffo , G. H. Lander , G. van der Laan

In this work, we present a symplectic integration scheme to numerically compute space debris motion. Such an integrator is particularly suitable to obtain reliable trajectories of objects lying on high orbits, especially geostationary ones.…

Earth and Planetary Astrophysics · Physics 2015-06-03 Ch. Hubaux , A. Lemaître , N. Delsate , T. Carletti

Synchrotron radiation of relativistic electrons in storage rings naturally leads to the process of damping of betatron oscillations. Damping time and transverse beam emittance can be reduced by wigglers or undulators while the beam…

Accelerator Physics · Physics 2016-11-22 Nickolai Muchnoi

Improved understanding of the dynamics of runaway electrons can be obtained by measurement and interpretation of their synchrotron radiation emission. Models for synchrotron radiation emitted by relativistic electrons are well established,…

A techniques, describing electron dynamics for magnetic models closed to cyclical accelerators, is developed and applied to the analysis of electromagnetic radiation emitted by charged particles. Formulas for the angular characteristics of…

Accelerator Physics · Physics 2018-11-27 Oleg Shishanin

We introduce a new application of measuring symplectic generators to characterize and control the linear betatron coupling in storage rings. From synchronized and consecutive BPM (Beam Position Monitor) turn-by-turn (TbT) readings,…

Accelerator Physics · Physics 2017-06-20 Yongjun Li , Lingyun Yang , Weixing Cheng

In recent and future synchrotron radiation facilities, relativistic electron bunches with increasingly high charge density are needed for producing brilliant light at various wavelengths, from X-rays to terahertz. In such conditions,…

Each successive generation of x-ray machines has opened up new frontiers in science, such as the first radiographs and the determination of the structure of DNA. State-of-the-art x-ray sources can now produce coherent high brightness keV…

According to literature, while calculating the brightness of synchrotron radiation from wigglers, one needs to account for the so called `depth-of-field' effects. In fact, the particle beam cross section varies along the wiggler. It is…

Accelerator Physics · Physics 2014-12-20 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin

We describe a technique for constructing a symplectic transfer map for a charged particle moving through an accelerator component with arbitrary three-dimensional static magnetic field. The transfer map is constructed by symplectic…

Accelerator Physics · Physics 2012-06-29 Andy Wolski , Jonathan Gratus , Robin W. Tucker

This book chapter describes how spectral correlations in scattered light fields can be utilized for high-precision time-of-flight sensing. The chapter should serve as a gentle introduction and is intended for computational imaging…

Optics · Physics 2022-09-13 Florian Willomitzer

We obtain a system of exact solutions of the Dirac equation for an electron moving in a constant homogeneous external magnetic field with account of its vacuum magnetic moment and assumed Lorentz invariance violation in the minimal CPT-odd…

High Energy Physics - Theory · Physics 2008-11-26 I. E. Frolov , V. Ch. Zhukovsky