Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Algorithm for calculating spectral intensity due to charged particles in arbitrary motion. / Thomas, A. G. R.
In: Physical Review Special Topics: Accelerators and Beams, Vol. 13, No. 2, 020702, 02.2010.Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -