emhw26 - 49. J, Problem 10.12 50. J, Problem 10.16. To be...

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Electromagnetic Theory II Problem Set 12 Due: 20 April 2011 47. J, Problem 10.7 48. J, Problem 10.9. The lowest order approximation asked for in part a) is simply the Born approximation. The integral over angles to form the total cross section in part b) is best done by changing variables from θ to q , where q 2 = ( k - k ˆ z ) 2 = 2 k 2 (1 - cos θ ). Since the result of part a) is simply the ka → ∞ limit of that in part b), it suFces to only do the calculation in part b).
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Unformatted text preview: 49. J, Problem 10.12 50. J, Problem 10.16. To be clear, in part a) the integral referred to is the integral over angles of the dierential cross section, i.e. you are calculating the contribution of shadow scattering to the total cross section. The latter is obtained in part b) via the optical theorem, eq. (10.139). Discuss the relation between the results of parts a) and b). 1...
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