Astro 405/505, fall semester 2007 Homework, 9th set, solutions Problem 17: Faraday rotation a) I will observe a symmetric distribution of total rotation angles across the source with a mean rotation angle equal to zero. The degree of polarization wil be high, provided the angular resolution of my telescope is suFcient to separate regions of di±erent total rotation angle. In the second case I will observe a symmetric distribution of total rotation angles across the source with a mean rotation angle equal to zero. The degree of polarization will be small even if my telescope had an in²nite angular resolution, because each little volume element along the line-of-sight in the emission region produces radiation that I see with a di±erent amplitude of ³araday rotation. b) We can not distinguish Φ and Φ + π as what is observed is the inclination of a plane. Use the ansatz Φ = Φ0 + Φ 1 λ 2-n (180 ◦ ) . The solution then n 6 = 0 n 12 = 1 n 21 = 3 Φ 1 = ± 5 3 ² ◦ Φ0 =-52 ◦ The intrinsic polarisation angle is then
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This note was uploaded on 02/29/2012 for the course PHYS 227 taught by Professor Rabe during the Fall '08 term at Rutgers.