Determine the lateral shift at the output of the plate and

Question

Problem - Transmission Through a LiNbO₃ Plate

Examine the transmission of an unpolarized He-Ne laser beam (λ₀= 633 nm) normally incident on a LiNbO₃ plate (n_e = 2.29, n_o = 2.20) of thickness 1 cm, cut such that its optic axis makes an angle 45° with the normal to the plate.

a) Determine the lateral shift at the output of the plate and the retardation between the ordinary and extraordinary beams.

b) Sketch the beams