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--- determination_of_angles_and_momentum [2013/10/17 21:34]
pereira created
+++ determination_of_angles_and_momentum [2013/10/17 21:38]
pereira
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 ===== Ion-optic coordinates in the S800 =====
-The optical coordinates used in the S800 are described in relation to a central trajectory passing through the center of the S800 magnets, and with the reference momentum given by //p<sub>0<\sub>=qBρ<sub>0<\sub>//, where //ρ<sub>0<\sub>// is the central bend radius for the dipole, //B// is the dipole field and //q// is the ionic charge. The coordinates used in ion-optics are the longitudinal distance z along the reference path, and the transversal distances x and y (perpendicular to z)  with respect to the  reference trajectory in the dispersive and non-dispersive directions, respectively. (Since the S800 bending dipoles are oriented vertically, the coordinate x corresponds to the vertical direction, while y refers to the horizontal direction.) The dispersive and non-dispersive angles a and b are referred with respect to the z axis in the xz-plane and yz-plane, respectively. The momentum coordinate is defined according to the equation + 1 = p / p0 where p is the momentum of the particle. The energy coordinate d is defined as d= E-E0)/E0, where E is the energy of the particle and E0 is the energy equivalent to p0.
+The optical coordinates used in the S800 are described in relation to a central trajectory passing through the center of the S800 magnets, and with the reference momentum given by //p<sub>0</sub>=qBρ<sub>0</sub>//, where //ρ<sub>0</sub>// is the central bend radius for the dipole, //B// is the dipole field and //q// is the ionic charge. \\
+The coordinates used in ion-optics are the longitudinal distance //z// along the reference path, and the transversal distances //x// and //y// (perpendicular to z) with respect to the reference trajectory in the dispersive and non-dispersive directions, respectively. ((Note that since the S800 bending dipoles are oriented vertically, the coordinate //x// corresponds to the vertical direction, while //y// refers to the horizontal direction)) The dispersive and non-dispersive angles a and b are referred with respect to the z axis in the xz-plane and yz-plane, respectively. The momentum coordinate is defined according to the equation + 1 = p / p0 where p is the momentum of the particle. The energy coordinate d is defined as d= E-E0)/E0, where E is the energy of the particle and E0 is the energy equivalent to p0.
 Reconstruction method

S800 Documentation

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