2017/05/19 by Ertan Kuntman, Kuntman, Ertan, Mehmet Ali Kuntman +3
Engineering · Materials Science · Physics and Astronomy · #78A10 #FOS: Physical sciences #Liquid Crystal Research Advancements #Mathematical Physics (math-ph) #Optical Polarization and Ellipsometry #Optical and Acousto-Optic Technologies #Optics (physics.optics)
paper · pdf · doi:10.48550/arxiv.1705.07147
openalex publication_date 2017/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the Stokes-Mueller formalism can be reformulated in terms of quaternions, and the quaternion approach is more suitable for the formalism of Mueller-Jones states that we have recently described. In terms of quaternions it can be shown that the vector and matrix states and the Jones matrix associated to nondepolarizing optical systems are different representations isomorphic to the same quaternion state, and this quaternion state turns out to be the rotator of the Stokes quaternion. It is also shown that the coherent linear combination of nondepolarizing optical media states and depolarization phenomena can be reformulated in terms of quaternion states.