Browsing by Author "Berhe, Gebredingil"

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    On Gradient Effective index Ray-Tracting in Planar Luneburg Lenses
    (Addis Ababa University, 1988-06) Berhe, Gebredingil
    The problem ,,1&r~ssed j.n the. thesis li(~E in the field of integrated optics. }'or Hght propagation ill dielect.l'ic ,,,,aveguides interconnections are established bet\>leen the dispersion -"equation, critical thickness and effective refractive index of the film, electric field distl'ibution, power flow and a zig-zag model of propagation. All existing types of planar lenses are descrihed and critically analyzed, among them the generalized Luneburg lenses seem to be one of the most advantageous for applications in integrated optical cricui ts. Existing raY.-tracing technique in such lenses is critically analyzed, A neH raytracing approximation b'lsed on Fermat's principle is suggested. The pr"",edure is successfully tested fm' a classical Luneburg lens in which case the integrals are taken analytically. Some detailed mathematical proofs have been relegated to the appendixes, which, however, shOUld be regarded as integral parts of the paper