Beam diameter: Difference between revisions

Content deleted Content added
m azimutal ---> azimuthal
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:<math> \gamma = \sgn \left( \langle x^2 \rangle - \langle y^2 \rangle \right) = \frac{\langle x^2 \rangle - \langle y^2 \rangle}{|\langle x^2 \rangle - \langle y^2 \rangle|}. </math>
 
Using this general definition, also the beam azimutalazimuthal angle <math> \phi </math> can be expressed. It is the angle between the beam directions of minimal and maximal elongations, known as principal axes, and the laboratory system, being the <math>x</math> and <math>y</math> axes of the detector and given by
:<math> \phi = \frac{1}{2} \arctan \frac{2 \langle xy \rangle}{\langle x^2 \rangle - \langle y^2 \rangle }.</math>