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The total field at surfaces and interfaces
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2irq accordance Airy function Appendix applied asinx asymptotic expansions asymptotic representations boundary conditions l.a.36 boundary value problem canonical problem caustic distance caustic point circular cylinder complex diffraction process concave surface converging pencil convex surface cos9 critical angle critically incident pencil curved surface described diffracted field diffracted rays diverging pencil edge diffraction processes edge point elementary diffraction coefficient equivalent surface impedance Fermat's principle Figure Fresnel coefficients gallery surface ray geometrical diffraction theory half-plane incident k ray incident ray k.-field k.-mode k>-rays Keller mode conversion Multiple circulations Neumann boundary condition observation point p'th mode pencil of rays plane wave point Q produced propagation constant radius of curvature ray PQ ray S P reflected rays Reflection and conversion reflection coefficient refracted sinx Snell's law solution source placed source point subscript surface diffraction processes surface or interface Table l.A.l tangential total field two-mode unit source whispering gallery surface yields