Polarizer

The formular of the polarizer computing


Parameters

Incident angle
`theta` \(^{\circ}\)
Mirror rotate angle
`Phi` \(^{\circ}\)
Electric field direction
`psi` \(^{\circ}\)
phase difference
`tau` \(^{\circ} \)

Output

 `theta`

 `Phi`

 `psi`

 `tau`

`cos Lambda` 

`sqrt(1-(sin theta sin Phi)^2)`

Angle `Lambda`

Equivlent wavelength `lambda`

`lambda_e=lambda/(cos Lambda)`

Equivlent `theta_e`

`cos theta_e=(cos theta)/(cos Lambda)`

Equivlent  `theta`

 `xi`

`tan xi=cos theta_e tan Phi`

 `E_theta`

`E_theta=sqrt((cos psi cos (tau/2))^2+(cos(2 xi+psi) sin (tau/2))^2)`

 `E_phi`

`E_phi=sqrt((sin psi cos (tau/2))^2+(sin(2 xi+psi) sin (tau/2))^2)`

 `delta_theta`

`delta_theta=arctan((cos(2 xi+psi) sin (tau/2))/(cos psi cos (tau/2)))`

 `delta_phi`

`delta_phi=arctan((sin(2 xi+psi) sin (tau/2))/(sin psi cos (tau/2)))`

 `delta`

`delta=delta_theta-delta_phi`

 `gamma`

`gamma=arctan(E_phi/E_theta)`

 `alpha`

`tan 2 alpha=tan 2gamma cos delta`

 `beta`

`sin 2beta=sin 2gamma sin delta`