\begin{array}{rl}{A^{\prime}(\omega_{a})}&{\equiv\frac{t\left(1+r\right)\cos\left(\frac{\omega_{a}L}{2c}\right)}{1+2r\cos(\frac{\omega_{a}L}{c})+r^{2}}\,,}\\{B^{\prime}(\omega_{a})}&{\equiv\frac{t\left(1-r\right)\sin\left(\frac{\omega_{a}L}{2c}\right)}{1+2r\cos(\frac{\omega_{a}L}{c})+r^{2}}\,,}\\{C^{\prime}(\omega)}&{\equiv1+\frac{2(1+r)\cos(\frac{\omega L}{2c})}{1+2r\cos(\frac{\omega L}{c})+r^{2}}\,,}\\{D^{\prime}(\omega)}&{\equiv\frac{2(1-r)\sin(\frac{\omega L}{2c})}{1+2r\cos(\frac{\omega L}{c})+r^{2}}\,,}\end{array}