Maxwell fish eye and Luneburg profiles for polarized light
May 16, 2022
Propagation of light in various gradient index (GRIN) media with emphasis on closed ray trajectories of light is considered. Firstly, it is examined the case without considering the light polarization. General mechanism of deducing the expressions of corresponding deformed GRIN profiles is introduced. The deformed GRIN profiles and their corresponding refraction indices preserve the closed ray trajectories of light as well as the symmetries of the Hamiltonian. The deformed versions of Maxwell fish eye and Luneburg profiles were found using the proposed procedure.
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