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THE ANALYTICAL REPRESENTATION OF HUYGENS
HUYGENS PRINCIPLE AND THE THEORY OF DIF
HUYGENS PRINCIPLE FOR ELECTROMAGNETIC WAVES
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amplitude analytic function analytical continuation aperture approximate axis Babinet's principle Bessel Functions black half-plane black screen boundary conditions boundary values closed surface complex component consider coordinates cosh cylindrical waves denotes differentiation diffracted light diffraction problems distance dvjdv e-ikR E. T. Whittaker edge electromagnetic waves equation of cylindrical equation of wave-motions field follows formulation of Huygens Fresnel geometrical optics geometrical shadow given gives Green's function Helmholtz's formula Hence Huygens incident light infinity inside instant integral equation Kirchhoff's formula Kottler's large compared Larmor-Tedone formulae lSBN Math Maxwell's equations monochromatic normal obtain partial derivatives perpendicular plane waves polarized principle problem of diffraction propagation proved radius result Riemann surface secondary waves sheet singularities solution Sommerfeld's sound waves specified sphere tends to zero theorem theory of diffraction tion total velocity-potential two-dimensional vanishes velocity potential wave-function wave-length