Solid angle calculator
The calculator of solid angles of areas of ABCD from the point z.
input
X1,X2,X3,X4 are lengths(absolute values) from the origin.
Z is the perpendicular distance.
|X1|:
|X2|:
|Y1|:
|Y2|:
Z :
To calculate the antiproton detection efficiency,
set the multiplicity of charged pions for antiproton annhilation :
OR set the solid angle directly :
output
solid angle A :
[%]
solid angle B :
[%]
solid angle C :
[%]
solid angle D :
[%]
total solid angle :
[%]
The detection efficiency : (1- (1 - totalsolidangle[%]/100)**multiplicity )
:
[%]
OR
The detection efficiency from solid angle set directry is
[%]
\Omega = \int_0^X \int_0^Y \frac{Z}{(X1^2 + Y1^2 + Z^2)^(3/2)} dxdy
= ArcSin(\frac{X1 Y1}{\sqrt{X1^2+Z^2} \sqrt{Y1^2+Z^2}})