PHYS 323, Spring 2008
Electromagnetism III - Electrodynamics
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Homework
9.18 - charge flow in glass
9.19 - skin depth in a poor conductor
9.21 - air-to-silver interface
9.22 - nonlinear dispersion examples - water and Schroedinger particle
9.23 - numbers for simple atomic oscillator model
9.25 - group velocity in anomalous dispersion
Examples class
9.20 - energy density for wave in conductor
9.24 - width of anomalous dispersion region
Bonus
B1 - Rainbows. Assuming ray optics, explain the origin of first-order
rainbows as a result of refraction and internal reflection by spherical water
droplets. Show, analytically or using a computer, that the scattering
angle has a maximum (a caustic) as a function of the perpendicular distance of
the incident ray from the center of the droplet, at a value that is independent
of droplet size. Show that this peak angle is higher for lower refractive
index, ie, for red light, so that the outside of the rainbow is red. Plot
the distribution of scattering angles for a particular refractive index.