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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 lineofsight 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 = Φ
0
+ Φ
1
λ
2

n
(180
◦
)
. The solution then
n
6
= 0
n
12
= 1
n
21
= 3
Φ
1
=
±
5
3
²
◦
Φ
0
=

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.
 Fall '08
 RABE
 Physics, Work, Polarization

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