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Variational and perturbational techniques
Electrostatic fields in the presence of dielectrics
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aperture Appl applied axis Bladel boundary conditions cavity charge density circular coefficients component conductor constant contour coordinates corresponding cross section curl curl current density cylinder defined derivatives determine dielectric differential equation dyadic eigenfunctions eigenvalues eigenvectors electric field Electromagnetic equal to zero Euler's equation evaluate example expansion expression Figure follows Fourier frequency given in Eq Green's function Green's theorem hence implies incident field infinite integral equation large distances linear lines of force magnetic field Maxwell's equations medium member of Eq method mode normal obtained orthogonal perfectly conducting perpendicular Phys polarized problem properties radiation radius region regular at infinity relationship resonant right-hand member satisfy scalar scattering separation of variables shows sin2 solution of Eq sphere spherical surface tangential tangential component theorem theory transformation vanishes vector potential volume waveguide yields