Before revision: Phase retarders Corresponding Jones matrix Quarter-wave plate with fast axis vertical Quarter-wave plate with fast axis horizontal Quarter-wave plate with fast axis at angle w.r.t the horizontal axis Half-wave plate with fast axis at angle w.r.t the horizontal axis General Waveplate (Linear Phase Retarder) Arbitrary birefringent material (Elliptical phase retarder) The Jones matrix for an arbitrary birefringent material is the most general form of a polarization transformation in the Jones calculus; it can represent any polarization transformation.
After revision: rotated by Half-wave platePhase retarders Corresponding Jones matrix Quarter-wave plate with fast axis vertical Quarter-wave plate with fast axis horizontal Quarter-wave plate with fast axis at angle w.r.t the horizontal axis Half-wave plate with fast axis at angle w.r.t the horizontal axis General Waveplate (Linear Phase Retarder) Arbitrary birefringent material (Elliptical phase retarder) The Jones matrix for an arbitrary birefringent material is the most general form of a polarization transformation in the Jones calculus; it can represent any polarization transformation.