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5. Electromagnetic Optics
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5.1 ELECTROMAGNETIC THEORY OF LIGHT for the 6 components Maxwell Eq. onde Maxwell
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At the boundary between two dielectric media and in the absence of free electric charges and currents, the tangential components of the electric and magnetic fields must be continuous, the normal components of the electric and magnetic flux densities must be continuous.
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5.2 Dielectric media linear nondispersive homogeneous isotropic spatial nondispersive Localized approximation Constitutive relations
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A. Linear, Nondispersive, Homogeneous, and Isotropic Media ( constant ) : permittivity : dielectric constant n = ( o )^1/2
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B. Nonlinear, Dispersive, Inhomogeneous, and Anisotropic Media
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susceptibility tensor electric permittivity tensor
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5.3 Monochromatic EM waves
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Intensity: average of the Poynting vector High frequency, cancel out in the average Thus with
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5.4 Elementary EM waves impedance
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Are the Maxwell equations fulfilled?
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5.5 Absorption and dispersion
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The refractive index n( ) is also related to the absorption coefficient ), so that if one is known for all, the other may be determined. being an analytic and well-behaved ( ( )/ 0 when ) function
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5.6 Pulse propagation in dispersive media
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now, we have arrived the final solution of In summary, to find the transmitted field of
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propagating in a dispersive, non-absorption medium
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