Phys 200B – HW16

Due Tuesday 08-Mar-05 10:30AM to Daniel Hale

16-1. In deriving the skin depth, we assumed that w/g <<1 and s₀/e₀w >>1. For an Nd:YAG laser (l = 1.064 mm) incident on copper, show that one of these two assumptions is not valid, and show that the skin depth is given by the formula

d = c/w_p, which is independent of frequency. Computer the skin depth for an Nd:YAG on a copper mirror. What is the range of wavelengths for which this formula is valid?

16-2. A light wave with p-polarization is reflected from a metal surface. Calculate R_p under the assumption that cosq₂ = 1, as is often the case. Find the value of q₁ for which R_p is a minimum.