DV Analyze Recon - Revision history

Vanwdani: /* Transformation Matrix */

2016-03-30T22:31:38Z

Transformation Matrix

2016-03-30T22:30:15Z

Transformation Matrix

2016-03-30T22:27:42Z

Transformation Matrix

2016-03-30T22:22:10Z

Transformation Matrix

2016-03-30T22:20:58Z

Transformation Matrix

2016-03-30T22:11:55Z

Transformation Matrix

2016-03-30T19:41:36Z

Transformation Matrix

2016-03-30T19:39:24Z

Transformation Matrix

2016-03-30T19:39:11Z

Transformation Matrix

2016-03-30T19:38:56Z

Transformation Matrix

@@ Line 170: / Line 170: @@
 <center>[[File:Euler2.png]]</center>
-=Transformation Matrix=
+=Transformation Matrix Verification=
 The Euler angles can be applied using a transformation matrix

← Older revision		Revision as of 22:30, 30 March 2016
Line 269:		Line 269:

	This shows how the coordinates are transformed and explains the validity of using the TBTracking information to obtain a phi angle in the lab frame.		This shows how the coordinates are transformed and explains the validity of using the TBTracking information to obtain a phi angle in the lab frame.
		+
		+
		+	----
		+
		+	Links
		+
		+	[[DV_RunGroupC_Moller#Analyzing_Reconstruction_Data\|Back]]

@@ Line 262: / Line 262: @@
 \right)</math><math>=\left(
 \begin{array}{c}
-  -43.0294 \\
+.3335 \\
-.5291 \\
+.1084 \\
-.845 \\
+.126 \\
 \end{array}
 \right)</math>
 This shows how the coordinates are transformed and explains the validity of using the TBTracking information to obtain a phi angle in the lab frame.

@@ Line 210: / Line 210: @@
 Starting with the tilted xyz coordinates, we can use the fact that each paddle of the detecters is rotated -25 degrees from the y axis.  Converting this into radians, we find
-<math>\theta =-0.436332</math>
+<math>\theta=\frac{-25\ 2 \pi }{360} =-0.436332</math>
 Using the Euler transformation matrix:

@@ Line 237: / Line 237: @@
 This shows the tilted xyzis equal to the sector xyz after a y axis rotation of -25 degrees.  From this, each sector has a rotation of 60 degrees per sector number about the z axis.  Using the relationship,
-Sector Number-1=3-1=2
+Sector Number-1=2-1=1
-We need 60*2 degrees for the rotation about the z-axis, or in radians:
+We need one 60 degree rotation about the z-axis, or in radians:
-<math>\phi =\frac{120\ 2 \pi }{360};</math>
+<math>\phi =\frac{120\ 2 \pi }{360}=1.0471975512</math>

@@ Line 208: / Line 208: @@
-Converting -25 degrees to radians,
+Starting with the tilted xyz coordinates, we can use the fact that each paddle of the detecters is rotated -25 degrees from the y axis.  Converting this into radians, we find
 <math>\theta =-0.436332</math>
-which is the rotation the detectors are rotated from the y axis.
+Using the Euler transformation matrix:
 <math>\left(
@@ Line 222: / Line 222: @@
 \right).\left(
 \begin{array}{c}
-  -15.76 \\
+.26 \\
 \\
-.43 \\
+.27 \\
 \end{array}
 \right)</math><math>=\left(
 \begin{array}{c}
-.0588 \\
+.667 \\
 . \\
-.845 \\
+.126 \\
 \end{array}
 \right)</math>
-Finding <math>\phi =\frac{120\ 2 \pi }{360};</math> since "sector -1" =3-1=2*60=120 degrees
 <math>\left(
@@ Line 244: / Line 256: @@
 \right).\left(
 \begin{array}{c}
-.0588 \\
+.667 \\
 . \\
-.845 \\
+.126 \\
 \end{array}
 \right)</math><math>=\left(

@@ Line 174: / Line 174: @@
 The Euler angles can be applied using a transformation matrix
-<math>\left(
+<center><math>\left(
 \begin{array}{ccc}
   \cos (\theta ) & 0 & -\sin (\theta ) \\
@@ Line 192: / Line 192: @@
   z \cos (\theta )+x \sin (\theta ) \\
 \end{array}
-\right)</math>
+\right)</math></center>

← Older revision		Revision as of 19:39, 30 March 2016
Line 205:		Line 205:
	For eg12_rec.0.evio, trial 1, for 0T, event #14, in sector 2, the location of the first interaction is given by		For eg12_rec.0.evio, trial 1, for 0T, event #14, in sector 2, the location of the first interaction is given by

−	<center>[[File:conversions.png\|~~600px~~]]</center>	+	<center>[[File:conversions.png\|800px]]</center>

← Older revision		Revision as of 19:38, 30 March 2016
Line 205:		Line 205:
	For eg12_rec.0.evio, trial 1, for 0T, event #14, in sector 2, the location of the first interaction is given by		For eg12_rec.0.evio, trial 1, for 0T, event #14, in sector 2, the location of the first interaction is given by

−	<center>[[File:conversions.png\|~~300px~~]]</center>	+	<center>[[File:conversions.png\|400px]]</center>