diff --git a/Doc/UserManual/FormFactors.tex b/Doc/UserManual/FormFactors.tex index f0638bcb74ed33656c6b0d20d0f9864215fa27c9..bbc180606f5a50b7961c62e558e23cc9072f2ddc 100644 --- a/Doc/UserManual/FormFactors.tex +++ b/Doc/UserManual/FormFactors.tex @@ -1858,16 +1858,19 @@ They must fulfill \end{displaymath} \paragraph{Form factor, volume, horizontal section}\strut\\ -\begin{align*} -F &=L W -\sinc\left(\frac{q_xL}{2}\right)\times \\ & -\int_0^H \!\d z\, -\left(1-\frac{z}{H}\right) - \sinc\left[\frac{q_y - W}{2}\left(1-\frac{z}{H}\right)\right] -\exp\left\{ i\left[q_zz - - q_yd\left(1-\frac{z}{H}\right)\right]\right\} -\end{align*} +\begin{equation*} + F = \frac{L H}{q_y} + \sinc\left(\frac{q_xL}{2}\right) + \e^{-i \left(q_y d + \frac{\pi}{2}\right)} + \left[ + \e^{i \alpha_{+}/2} \sinc\left( \frac{\alpha_{-}}{2} \right) + - \e^{i \alpha_{-}/2} \sinc\left( \frac{\alpha_{+}}{2} \right) + \right], +\end{equation*} +\begin{equation*} + \alpha_{+} = H q_z + \frac{q_y W}{2} + q_y d, \quad + \alpha_{-} = H q_z - \frac{q_y W}{2} + q_y d, +\end{equation*} \begin{equation*} V = \dfrac{L W H}{2}, \end{equation*}