TY - JOUR
T1 - A study of the Doppler integral in regions of physical interest
AU - Arad, B.
AU - Ben-David, G.
AU - Schlesinger, Y.
PY - 1967/7
Y1 - 1967/7
N2 - The Doppler integral Ψ(x,t) defined in the text has been calculated to a precision better than one part in 106 for values of x up to 2 × 105 and t up to 2.5 × 107, using a very simple application of the Simpson sum rule. The method is particularly suited to computer solutions of problems involving the evaluation of the Doppler integral, such as are found in analysis of self-absorption experiments with resonantly scattered gamma radiation. New modified Doppler and Lorentz approximations for the integral have been derived which give a much higher degree of accuracy than the usual approximations.
AB - The Doppler integral Ψ(x,t) defined in the text has been calculated to a precision better than one part in 106 for values of x up to 2 × 105 and t up to 2.5 × 107, using a very simple application of the Simpson sum rule. The method is particularly suited to computer solutions of problems involving the evaluation of the Doppler integral, such as are found in analysis of self-absorption experiments with resonantly scattered gamma radiation. New modified Doppler and Lorentz approximations for the integral have been derived which give a much higher degree of accuracy than the usual approximations.
UR - https://www.scopus.com/pages/publications/49949150607
U2 - 10.1016/0029-554X(67)91365-1
DO - 10.1016/0029-554X(67)91365-1
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AN - SCOPUS:49949150607
SN - 0029-554X
VL - 53
SP - 277
EP - 284
JO - Nuclear Instruments and Methods
JF - Nuclear Instruments and Methods
IS - C
ER -