Differences

This shows you the differences between two versions of the page.

--- determination_of_angles_and_momentum [2013/12/24 09:13]
pereira [Reconstruction method]
+++ determination_of_angles_and_momentum [2013/12/24 09:14]
pereira [Ion-optic coordinates in the S800]
@@ Line 3: / Line 3: @@
 ===== 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. These 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 //δ// is defined according to the equation //δ + 1 = p / p<sub>0</sub>//, where //p// is the momentum of the particle. The energy coordinate //d// is defined as //d= (E-E<sub>0</sub>) / E<sub>0</sub>//, being //E// the energy of the particle and //E<sub>0</sub>// the energy equivalent to //p<sub>0</sub>//.
+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. These 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 //δ// is defined according to the equation //δ + 1 = p / p<sub>0</sub>//, where //p// is the momentum of the particle. The energy coordinate //d// is defined as //d= (E-E<sub>0</sub>) / E<sub>0</sub>//, being //E// the energy of the particle and //E<sub>0</sub>// the energy equivalent to //p<sub>0</sub>//.

S800 Documentation

User Tools

Site Tools

Differences

Page Tools