Polarization Rotation by a Sequence of Linear Polarizers. A wave that is linearly po- larized in the r direction is transmitted through a sequence of N linear polarizers whose transmission axes are inclined by angles m (m = 1,2,..,N; 0 = n/2N) with respect to the z axis. Show that the transmitted light is linearly polarized in the y direction but its amplitude is reduced by the factor cos 0. What happens in the limit as N → oo? Hint: Use Jones matrices and note that %3D R[(m+ 1)4 R(-m®) = R(0), where R(0) is the coordinate transformation matrix.
Polarization Rotation by a Sequence of Linear Polarizers. A wave that is linearly po- larized in the r direction is transmitted through a sequence of N linear polarizers whose transmission axes are inclined by angles m (m = 1,2,..,N; 0 = n/2N) with respect to the z axis. Show that the transmitted light is linearly polarized in the y direction but its amplitude is reduced by the factor cos 0. What happens in the limit as N → oo? Hint: Use Jones matrices and note that %3D R[(m+ 1)4 R(-m®) = R(0), where R(0) is the coordinate transformation matrix.
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Transcribed Image Text:Polarization Rotation by a Sequence of Linear Polarizers. A wave that is linearly po-
larized in the r direction is transmitted through a sequence of N linear polarizers whose
transmission axes are inclined by angles mf (m = 1,2,..,N; 8 = a/2N) with respect
to the a axis. Show that the transmitted light is linearly polarized in the y direction but its
amplitude is reduced by the factor cos"0. What happens in the limit as N → o? Hint: Use .
Jones matrices and note that
%3D
R[(m +1)4 R(-m®) = R(),
where R(0) is the coordinate transformation matrix.
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