\mathbf{j\cdot \hat{r}_{patch}} = \begin{array}{c} (A+C) \sin{t(\omega_{d}-\omega_{y}+\omega_{p})}+ \\ (A-C) \sin{t(\omega_{d} + \omega_{y} - \omega_{p})} + \\ B \cos{t(\omega_{p} - \omega_{y})} \end{array} 