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| research:memos:gr:gr_analysis [2017/09/05 12:04] – 作成 kobayash | research:memos:gr:gr_analysis [2017/09/05 12:53] (現在) – kobayash | ||
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| ===== Grand Raiden Analysis ===== | ===== Grand Raiden Analysis ===== | ||
| - | ==== Memo ==== | + | |
| + | ==== Calibration of scattering angle ==== | ||
| + | |||
| + | \begin{eqnarray} | ||
| + | A_I &=& a_0 + a_1x_d + a_2 \theta_d\\ | ||
| + | B_I &=& \sum_{i=0}^1\sum_{j=0}^1\sum_{k=0}^1\sum_{l=0}^1 b_{ijkl} x_d^i \theta_d^i y_d^k \phi_d^l + \sum_{i=0}^1 b_{Li} x_d^i y_L\\ | ||
| + | \end{eqnarray} | ||
| + | |||
| + | By expanding the equation, | ||
| + | |||
| + | \begin{eqnarray} | ||
| + | B_I | ||
| + | &=& b_{0000} \\ | ||
| + | && + b_{1000} x_d + b_{0100} \theta_d + b_{0010} y_d + b_{0001} \phi_d\\ | ||
| + | && + b_{1100} x_d\theta_d + b_{1010} x_dy_d + b_{1001}x_d\phi_d + b_{0110}\theta_dy_d + b_{0101}\theta_d\phi_d + b_{0011} y_d\phi_d\\ | ||
| + | && + b_{1110} x_d\theta_dy_d + b_{1101} x_d\theta_d\phi_d + b_{1011} x_dy_d\phi_d + b_{0111} \theta_dy_d\phi_d\\ | ||
| + | && + b_{1111} x_d\theta_dy_d\phi_d\\ | ||
| + | && + b_{L0} y_L + b_{L1} x_d y_L | ||
| + | \end{eqnarray} | ||
