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Canonical problems for GTD
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Airy function amplitude applied asymptotic evaluation asymptotic expansion axis canonical problem caustic consider contour curvature matrix cylinder defined derive diffraction coefficients diffraction term discontinuity in curvature edge diffracted field electric field electric polarisation electromagnetic exact solution exp jkp expression Fermat's principle field given Fock functions geometrical optics field given by eqn given in Section gives GTD formulation half-plane half-space Helmholtz equation illuminated region illustrated in Fig impedance incident field interface Keller leading term line source magnetic polarisation modified Fresnel integral normal incidence oblique incidence obtain optical boundaries path physical optics physical optics approximation plane wave plane wave incidence principal radii radiation radii of curvature reflected field reflection and refraction reflection boundary reflector antenna result shadow boundary shadow region shown in Fig slightly lossy smooth convex surface Snell's law stationary phase point theory of diffraction total field transition region uniform solution wavefront waveguide wedge face yields zero