User:Alptbag

2007 I am alptbag, a graduate student of National Taiwan University.

2016 I am alptbag, an optical simulation software engineer in Jasper Display.

Polarizer Vector $$\begin{pmatrix} E_x \\ E_y \end{pmatrix}$$ $$I^2=E_x^2+E_y^2$$ $$\begin{pmatrix} \cos\theta_p \\ \sin\theta_p \end{pmatrix}$$

Arbitrary direction retarder $$\begin{pmatrix}\cos\theta_r & -\sin\theta_r \\ \sin\theta_r & \cos\theta_r \end{pmatrix} \begin{pmatrix}e^{-i\Gamma/2} & 0 \\ 0 & e^{i\Gamma/2} \end{pmatrix} \begin{pmatrix}\cos\theta_r & \sin\theta_r \\ -\sin\theta_r & \cos\theta_r \end{pmatrix} $$ $$\begin{pmatrix} e^{-i\Gamma/2} \cos^2\theta+e^{i\Gamma/2} \sin^2\theta & -i\sin(\Gamma/2)\sin(2\theta) \\ -i\sin(\Gamma/2)\sin(2\theta) & e^{i\Gamma/2} \cos^2\theta+e^{-i\Gamma/2} \sin^2\theta \end{pmatrix} $$

Arbitrary polarizer $$\begin{pmatrix}\cos\theta_a & -\sin\theta_a \\ \sin\theta_a & \cos\theta_a \end{pmatrix} \begin{pmatrix}1 & 0 \\ 0 & 0 \end{pmatrix} \begin{pmatrix}\cos\theta_a & \sin\theta_a \\ -\sin\theta_a & \cos\theta_a \end{pmatrix} $$ $$\begin{pmatrix} \cos^2\theta & \cos\theta \sin\theta \\ \cos\theta \sin\theta & \sin^2\theta \end{pmatrix} $$

$$ T_\text{Etalon} = \frac{(1 - R_1) (1 - R_2)}{\left( {1 - \sqrt{R_1 R_2}} \right)^2 + 4 \sqrt{R_1 R_2} \sin^2(\frac{2\pi n}{\lambda}L)}. $$ $$ R_\text{Etalon} = \frac{(\sqrt{R_1}-\sqrt{R_2})^2+4\sqrt{R_1 R_2}\sin^2(\frac{2\pi n}{\lambda}L)}{\left( {1 - \sqrt{R_1 R_2}} \right)^2 + 4 \sqrt{R_1 R_2} \sin^2(\frac{2\pi n}{\lambda}L)}. $$