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 whosetransmission axes are inclined by angles mf (m = 1,2,..,N; 8 = a/2N) with respectto the a axis. Show that the transmitted light is linearly polarized in the y direction but itsamplitude is reduced by the factor cos"0. What happens in the limit as N → o? Hint: Use .Jones matrices and note that%3DR[(m +1)4 R(-m®) = R(),where R(0) is the coordinate transformation matrix.

According to the Malus' law, I=I0cos2θ θ is the angle between the intensity of the incident and the…

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.