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--- group_secar2.0 [2018/09/11 16:32]
wagner
+++ group_secar2.0 [2018/09/11 17:23]
wagner [Emittance Measurement]
@@ Line 1: / Line 1: @@
 ====== Group SECAR2.0 ======
--by Alex, Nadeesha and Louis-
+-- by Alex, Nadeesha and Louis --
 ===== DAY1=====
@@ Line 36: / Line 36: @@
 Adding the calculated spread from the reaction with the target of 0.13 deg = ±2.26 mrad we get ±17.26 mrad of angular spread.\\
 ⇒COSY beam input: SB 0.0005 **0.01726** 0 0.0005 **0.01726** 0 0 0.0047 0 0 0 ;\\
+Output for this beam passing the dipole:
 {{ :dipole46cr13.png?400 |}}
-**DAY2**\\
+===== DAY2 =====
-**Emittance measurement**\\
-Distance between Q7 center and focal plane is 6.085 m.
+==== Emittance Measurement ====
+The distance between the center of Q7 and the focal plane FP2 is 6.085 m as extracted from the script file.
 {{ :emittance.png?400 |}}
-**Q7 strenght variation:**\\
+=== Quadrupole strenght variations for emittance measurment ===
-|B [T]	|Xmax[m]	|ap [m]	|Brho* [Tm]	|L [m]	|K|
-|0.02	|2.91E-03	|0.13	|0.8	|0.34	|0.065384615|
-|0.01	|2.27E-03	|0.13	|0.8	|0.34	|0.032692308|
-|0	|1.62E-03	|0.13	|0.8	|0.34	|0|
-|-0.01	|1.20E-03	|0.13	|0.8	|0.34	|-0.032692308|
-|-0.02	|9.08E-04	|0.13	|0.8	|0.34	|-0.065384615|
-|-0.03	|6.23E-04	|0.13	|0.8	|0.34	|-0.098076923|
-|-0.04	|9.54E-04	|0.13	|0.8	|0.34	|-0.130769231|
-|-0.05	|1.60E-03	|0.13	|0.8	|0.34	|-0.163461538|
-|-0.06	|2.26E-03	|0.13	|0.8	|0.34	|-0.196153846|\\
-*Brho the magnetic rigidity was extracted from COSY by comand CONS(CHIM)\\
+|B<sub>Q7</sub> [T]	|X<sub>max</sub>[m]	|ap [m]	|Bρ* [Tm]	|L [m]	|K|
+|0.02	|2.91E-03	|0.13	|0.8	|6.085	|0.065384615|
+|0.01	|2.27E-03	|0.13	|0.8	|6.085	|0.032692308|
+|0	|1.62E-03	|0.13	|0.8	|6.085	|0|
+|-0.01	|1.20E-03	|0.13	|0.8	|6.085	|-0.032692308|
+|-0.02	|9.08E-04	|0.13	|0.8	|6.085	|-0.065384615|
+|-0.03	|6.23E-04	|0.13	|0.8	|6.085	|-0.098076923|
+|-0.04	|9.54E-04	|0.13	|0.8	|6.085	|-0.130769231|
+|-0.05	|1.60E-03	|0.13	|0.8	|6.085	|-0.163461538|
+|-0.06	|2.26E-03	|0.13	|0.8	|6.085	|-0.196153846|\\
+*Bρ the magnetic rigidity was extracted from COSY by comand CONS(CHIM)\\
+=== Fit of the data to parabola ===
-**Fit of the data to parabola**
 {{ :plot.png?400 |}}
+Fit result for parabola X<sub>max</sub><sup>2</sup> = σ<sub>11</sub> = a·K<sup>2</sup> - 2ab·K + ab<sup>2</sup> + c is:\\
 a = 0.000362572706 \\
 b = 0.0834414129893 \\
 c = 3.506973286e-07\\
-Double check for beam size calculation in Q7: X_calculated = 3.13mm, X_cosy_read_out = 3.16mm at the Q7 exit.\\
-Emittance = 3.045387898578198e-07  π m rad= 0.3 π mm mrad.\\
+The consistency check for beam size calculation in Q7 shows:\\
-Start beam emittance= XX * AX= 0.2 π mm mrad, so the emittance grows from the start to the focal point.\\
+X_calculated = 3.13mm, X_cosy_read_out = 3.16mm at the Q7 exit.\\
-This rmittance grow is possibly due to the optics aberrations. Input COSY file does a 4th-order-calculation. Also the measured points don't fit the parabola ideally, i.e. optics is non-linear.\\
+Emittance calculated from fit parameters ε= √(ac) / L<sup>2</sup> = 3.05E-7 π m rad = **0.305 π mm mrad**.\\
+Start beam emittance= XX · AX= 0.2 π mm mrad, so the emittance grows from the start to the focal point.\\
+This emittance grow is possibly due to the optics aberrations. That is because the input COSY file does a 4th-order-calculation. Also the measured points don't fit the parabola ideally, i.e. the optics is non-linear.\\

JINA-CEE ION OPTICS SUMMER SCHOOL: JIOSS 2018

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