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emsyllabus - Electromagnetic Theory I PHY6346 SYLLABUS 0...

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Electromagnetic Theory I, PHY6346 SYLLABUS 0. Introduction 1. Electromagnetic fields as dynamical variables 2. Maxwell’s equations as the equations of motion for fields 3. Boundary conditions at media interfaces I. Electrostatics I 1. Gauss’s law from one of Maxwell’s equations 2. Electric and potential of a point charge 3. Laplace equation 4. Boundary conditions and uniqueness theorems. 5. Green’s theorem and Green functions. 6. Energy, energy density, and Capacitance II. Electrostatics II: Boundary value problems 1. Method of images 2. Special geometries: spherical conductors, popint charges. 3. Green function for a sphere 4. Orthogonal functions and expansions 5. Separation of variables 6. Spherical coordinates, Legendre Polynomials 7. Problems with azimuthal symmetry 8. Sperical Harmonics 9. Cylindrical coordinates, Bessel functions 10. Green functions in spherical and cylindrical coordinates III. Multipoles and dielectrics 1. Multipole Expansion 2. Electrostatics in media 3. Boundary value problems with dielectrics
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