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Fig. 3 Visualization of 10 GHz Luneburg lens cut in half and viewed from top. (a) Conventional Luneburg lens using 6 dielectric layers. Homogenized Luneburg lens with 6 composite layers based on (b) simple cubic packing, (c) hexagonal close packing and (d) random packing. The insets demonstrate the three designs from another angle.
Direction-dependent gain of a half-wave dipole antenna (Equation 1) as compared to the ideal isotropic radiator: Between an angle of 0 • and 57.44 • the half-wave dipole's radiation is weaker than the one of an ideal isotropic radiator and higher between 57.44 • and 122.56 •. At 90 • the half-wave dipole reaches its maximum gain and radiates 1.67 times as much power as an equally supplied isotropic radiator would do.