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Phys-272 Lecture 22

Phys-272 Lecture 22. Wave Propagation Reflection Refraction Phys-272 Lecture 22. Reflection Refraction Huygen's Principle Dispersion Light Scattering Polarization i = r n1 sin 1 = n2 sin 2. Index of Refraction (n). Speed of light, c, in vacuum is 3x108 m/s ( m/s). Speed of light, v, in a medium can be lower v < c. index of refraction, n = c/v frequency, f, is unmodified as v = f l, wavelength, l, depends on medium, = vT = v/f = c/nf = 0/n In some media, n, depends on f, this is called dispersion. Waves, wavefronts, rays Plane waves moving in +x direction r E ( x, y, z , t ) = E0 y cos(kx t ). r B( x, y, z , t ) = B0 z cos(kx t ). Wavefront is a surface of constant phase E field wavefront (y-z plane surface of constant phase). y Ray propagation x z Huygen's Principle Huygen's principle; a wave front can be a source of secondary wavelets that spread out in all directions at the speed of propagation in the medium. The envelope of leading edges forms a wave front.

wavelets that spread out in all directions at the speed of propagation in the medium. The envelope of leading edges forms a wave front. • This principle was stated by Huygen in 1678, it can be derived from Maxwell’s eqns. It is a geometrical description of ray propagation. Plane wave example; Secondary wavelets create another wave front ...

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