Integrable isotropic profiles for polarized light

Abstract

We consider the propagation of polarized light in the medium with an isotropic refraction index profile and show that polarization violates the additional symmetries of the medium. Then we suggest a scheme for the construction of polarization-dependent refraction index which restores all symmetries of the initial profile. We illustrate the proposed scheme on the examples of Luneburg and Maxwell's fisheye profiles.

Based on talk given by M.D XVIII Conference "Symmetry Methods in Physics", 10-16 July, 2022, Yerevan. Submitted to proceedings. arXiv admin note: substantial text overlap with arXiv:2106.15465

References in corpus (6)

• Geometrodynamics of Spinning Light
• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
• Extended symmetries in geometrical optics
• Discrete spectrum Radiation from a charged particle moving in a medium with Maxwell fish eye refraction index profile
• Maxwell fish eye for polarized light
• An angular rainbow of light from curved spacetime

Cited by in corpus (1)

• Dynamics on a submanifold: intermediate formalism versus Hamiltonian reduction of Dirac bracket, and integrability