Birefringence

Crystal optics: ordinary and extraordinary rays, wave plates (λ/4, λ/2), and polarization state evolution

Crystal Type

Wave Plate

Input Polarization

Output State

Retardation Γ
Plate type
Output state
|Δn|

Physics

Γ = 2π(nₑ−nₒ)d/λ

Jones matrix:
M = R(−α)·Φ·R(α)
Φ = diag(e^i·0, e^iΓ)

λ/4 plate: Γ=π/2
Linear → Circular
λ/2 plate: Γ=π
Rotates linear polariz