Accurate and efficient computation of synchrotron radiation functions

Authors
Citation
Aj. Macleod, Accurate and efficient computation of synchrotron radiation functions, NUCL INST A, 443(2-3), 2000, pp. 540-545
Citations number
4
Categorie Soggetti
Spectroscopy /Instrumentation/Analytical Sciences","Instrumentation & Measurement
Journal title
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT
ISSN journal
01689002 → ACNP
Volume
443
Issue
2-3
Year of publication
2000
Pages
540 - 545
Database
ISI
SICI code
0168-9002(20000401)443:2-3<540:AAECOS>2.0.ZU;2-0
Abstract
We consider the computation of three functions which appear in the theory o f synchrotron radiation. These are F(x) = x integral(x)(infinity) K-5/3(y)dy F-p(x) = xK(2/3)(x) and G(p)(x) = x(1/3)K(1/3)(x), where K, denotes a modif ied Bessel function. Chebyshev series coefficients an given which enable th e functions to be computed with an accuracy of up to 15 sig. figures. (C) 2 000 Elsevier Science B.V. All rights reserved.