• Source: Sievert integral

The Sievert integral, named after Swedish medical physicist Rolf Sievert, is a special function commonly encountered in radiation transport calculations.
It plays a role in the sievert (symbol: Sv) unit of ionizing radiation dose in the International System of Units (SI).




Definition






F
(
x
,
θ
)
=

∫

0


θ




e

−
x
sec
⁡
(
φ
)




d

φ

.


{\displaystyle F(x,\theta )=\int _{0}^{\theta }{e^{-x\sec(\varphi )}}\,d{\varphi }.}





References


Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 27". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 1001. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.




External links


Weisstein, Eric W. "Sievert Integral". MathWorld.

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