- http://journals.aps.org/prab/abstract/10.1103/PhysRevSTAB.13.020702
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**Algorithm for calculating spectral intensity due to charged particles in arbitrary motion.** / Thomas, A. G. R.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Thomas, AGR 2010, 'Algorithm for calculating spectral intensity due to charged particles in arbitrary motion', *Physical Review Special Topics: Accelerators and Beams*, vol. 13, no. 2, 020702. https://doi.org/10.1103/PhysRevSTAB.13.020702

Thomas, A. G. R. (2010). Algorithm for calculating spectral intensity due to charged particles in arbitrary motion. *Physical Review Special Topics: Accelerators and Beams*, *13*(2), [020702]. https://doi.org/10.1103/PhysRevSTAB.13.020702

Thomas AGR. Algorithm for calculating spectral intensity due to charged particles in arbitrary motion. Physical Review Special Topics: Accelerators and Beams. 2010 Feb;13(2):020702. doi: 10.1103/PhysRevSTAB.13.020702

@article{293f873030ae424e95b7cddf8ddee548,

title = "Algorithm for calculating spectral intensity due to charged particles in arbitrary motion",

abstract = "An algorithm for calculating the spectral intensity of radiation due to the coherent addition of many particles with arbitrary trajectories is described. Direct numerical integration of the Lienard-Wiechert potentials, in the far field, for extremely high photon energies and many particles is made computationally feasible by a mixed analytic and numerical method. Exact integrals of spectral intensity are made between discretely sampled trajectories, by assuming the space-time four-vector is a quadratic function of proper time. The integral Fourier transform of the trajectory with respect to time, the modulus squared of which comprises the spectral intensity, can then be formed by piecewise summation of exact integrals between discrete points. Because of this, the calculation is not restricted by discrete sampling bandwidth theory and, hence, for smooth trajectories, time steps many orders larger than the inverse of the frequency of interest can be taken.",

keywords = "NONLINEAR THOMSON SCATTERING, X-RAY GENERATION, RADIATION, ACCELERATOR, BUNCHES, DRIVEN, BEAMS",

author = "Thomas, {A. G. R.}",

year = "2010",

month = feb,

doi = "10.1103/PhysRevSTAB.13.020702",

language = "English",

volume = "13",

journal = "Physical Review Special Topics: Accelerators and Beams",

issn = "1098-4402",

publisher = "AMER PHYSICAL SOC",

number = "2",

}

TY - JOUR

T1 - Algorithm for calculating spectral intensity due to charged particles in arbitrary motion

AU - Thomas, A. G. R.

PY - 2010/2

Y1 - 2010/2

N2 - An algorithm for calculating the spectral intensity of radiation due to the coherent addition of many particles with arbitrary trajectories is described. Direct numerical integration of the Lienard-Wiechert potentials, in the far field, for extremely high photon energies and many particles is made computationally feasible by a mixed analytic and numerical method. Exact integrals of spectral intensity are made between discretely sampled trajectories, by assuming the space-time four-vector is a quadratic function of proper time. The integral Fourier transform of the trajectory with respect to time, the modulus squared of which comprises the spectral intensity, can then be formed by piecewise summation of exact integrals between discrete points. Because of this, the calculation is not restricted by discrete sampling bandwidth theory and, hence, for smooth trajectories, time steps many orders larger than the inverse of the frequency of interest can be taken.

AB - An algorithm for calculating the spectral intensity of radiation due to the coherent addition of many particles with arbitrary trajectories is described. Direct numerical integration of the Lienard-Wiechert potentials, in the far field, for extremely high photon energies and many particles is made computationally feasible by a mixed analytic and numerical method. Exact integrals of spectral intensity are made between discretely sampled trajectories, by assuming the space-time four-vector is a quadratic function of proper time. The integral Fourier transform of the trajectory with respect to time, the modulus squared of which comprises the spectral intensity, can then be formed by piecewise summation of exact integrals between discrete points. Because of this, the calculation is not restricted by discrete sampling bandwidth theory and, hence, for smooth trajectories, time steps many orders larger than the inverse of the frequency of interest can be taken.

KW - NONLINEAR THOMSON SCATTERING

KW - X-RAY GENERATION

KW - RADIATION

KW - ACCELERATOR

KW - BUNCHES

KW - DRIVEN

KW - BEAMS

U2 - 10.1103/PhysRevSTAB.13.020702

DO - 10.1103/PhysRevSTAB.13.020702

M3 - Journal article

VL - 13

JO - Physical Review Special Topics: Accelerators and Beams

JF - Physical Review Special Topics: Accelerators and Beams

SN - 1098-4402

IS - 2

M1 - 020702

ER -