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GRIN media characterized by a hyperbolic secant profile of the refractive index (HSPRI) have been widely analyzed by geometrical optics and it is well known that these media are free of aberrations for meridional rays." This behaviour provides optimum transmission capabilities and optical transformations such as focusing and collimation.
Jesus Linares
"Focusing and collimation in planar waveguide with hyperbolic secant refractive index", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19832J (26 July 1993); https://doi.org/10.1117/12.2308510
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Jesus Linares, "Focusing and collimation in planar waveguide with hyperbolic secant refractive index," Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19832J (26 July 1993); https://doi.org/10.1117/12.2308510