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Electromagnetic Wave Theory a - University of Washington

Electromagnetic Wave Theory Wei-Chih Wang ME557. Department of Mechanical Engineering w wang University of Washington 1. Refraction and reflection (wave The incident beam is equation). characterized by its wavelength i, its frequency i and its velocity c0 and n,, r r, r, fr, C. no,, o i, f , Co refracted beam is characterized by its wavelength r, its frequency r and its velocity c , the simple dispersion relation for vacuum. Co = fi i C = f r r w wang 2. The speed of light in a medium is related to the electric and magnetic properties of the medium, and the speed of light in vacuum can be expressed as o The speed of light in a material to the material "constants" r and the corresponding magnetic permeability 0 of vacuum and r of the material is 1. c=. w wang r o r o 3. The index of refraction n of a non-magnetic material r = 1 is linked to the dielectric constant r via a simple relation, which is a rather direct result of the Maxwell equations.

Maxwell's Equations contain the wave equation for electromagnetic waves. One approach to obtaining the wave equation: 1. Take the curl of Faraday's law: 2. Substitute Ampere's law for a charge and current-free region: This is the three-dimensional wave equation in vector form. It looks more familiar when reduced a plane

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