From 23125d2abc4c566a757b5b51b5610a171d2fa66f Mon Sep 17 00:00:00 2001
From: Thomas Dehaeze Table of Contents
-
%% Tested bragg angles @@ -118,7 +120,7 @@ dz = d_off./(2* -+-
Figure 1: Jack motion as a function of Bragg angle
@@ -136,34 +138,34 @@ dz = d_off./(2*-1.2. Kinematics (111 Crystal)
++1.2. Kinematics (111 Crystal)
-The reference frame is taken at the center of the 111 second crystal.
-1.2.1. Interferometers - 111 Crystal
++1.2.1. Interferometers - 111 Crystal
Three interferometers are pointed to the bottom surface of the 111 crystal.
-The position of the measurement points are shown in Figure 2 as well as the origin where the motion of the crystal is computed. +The position of the measurement points are shown in Figure 2 as well as the origin where the motion of the crystal is computed.
-+
Figure 2: Bottom view of the second crystal 111. Position of the measurement points.
-The inverse kinematics consisting of deriving the interferometer measurements from the motion of the crystal (see Figure 3): +The inverse kinematics consisting of deriving the interferometer measurements from the motion of the crystal (see Figure 3):
\begin{equation} \begin{bmatrix} @@ -177,7 +179,7 @@ d_z \\ r_y \\ r_x \end{equation} -+-
Figure 3: Inverse Kinematics - Interferometers
@@ -185,7 +187,7 @@ d_z \\ r_y \\ r_x-From the Figure 2, the inverse kinematics can be solved as follow (for small motion): +From the Figure 2, the inverse kinematics can be solved as follow (for small motion):
\begin{equation} \bm{J}_{s,111} @@ -205,7 +207,7 @@ J_s_111 = [1, 0.07, -0.015