a) The ploarizing axis of a polarizing sheet makes an angle of30 degree to the electric field of a linearly polarized light. Thepolarized light has an intensity Io. The intensity of the lightafter it goes through the polarizing sheet is?

b) The polarizing axis of a polarizing sheet makes an angle of30 degree from the vertical. An unpolarized light of intensity Iopasses through the polarizing sheet. The intensity of the lightafter it goes through the polarizing sheet is?

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Reid WolffLv2

9 Jan 2019

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DUE DATE: 12 00 noon Monday. Dec 6. 2010. The problems on this assignment are quite word because strong direction is being given to Students in how to proceed. Two problems will be selected at random for marking. Percentage polarization. It is useful to characterize partially polarized light in terms of its "percentage polarization". A light beam of constant intensity Io. is allowed to fall at normal incidence on an "ideal linear polarizer" (a linear polarizer is "ideal" if it panes all light polarized parallel to the polarizer's axis, and stops all light polarized perpendicular to that axis.) As the ideal polarizer is rotated continuously (see Figure 8.1; about an axis perpendicular to its plane, the transmitted intensity I passes through successive maximum and minimum values (denoted by I max and I min). The percentage polarization of the incident light is denned to be Find the percentage polarization measured in this way for the following light beams: "Unpolarized natural light" tor which I max = I min = Io/2. A beam of light. Initially unpolarixed. that has been passed through an ideal linear polarizer before being measured for percentage polarization. A beam of light, initially unpolarizcd, that has been passed through a non-ideal polarizer that (in terms of light intensity) transmits 70% of light polarized parallel to its polarizing axis and 20% of light polarized perpendicular to its polarizing axis. Circularly polarized light. (Circular polarization means that at any given fixed observation point In the beam, the E-vector has constant magnitude but rotates at the frequency of the electric field oscillations so that the tip of the vector describes a circle in the zy plane (perpendicular to the light ray at the point in question). Elliptically polarized light for which the tip of the E-vector moves on an ellipse in the x y plane, defined by where Ax and Ay are the amplitudes of the oscillating Ex and E y components of the electric field vector, and is the phase difference between those oscillations. NOTE: Do your calculation for the special case Ax = 2Ay and e =pi / 2. [(8.2) taxes a particularly simple form when e = pi / 2.]

Three linear polarizers are oriented as follows: The axis of thesecond is at an angle of 59.0Â° relative to the first. The axis ofthe third is at an angle of 31.0Â° relative to the second, so theaxis of the third polarizer is perpendicular to the axis of thefirst. Unpolarized light of intensity Io=18.6 W/m^2 is incident onthe first polarizer.

(a) What is the intensity of the light after it passes through allthree polarizers?
(b) What is the intensity of the transmitted light if the secondpolarizer is removed?

A traveling wave is propagating in +x direction with an angularfrequency of 6.0 x 10^12 rad/s. Its magnetic field is oscillatingalong y-direction with an amplitude of 1.2 x ^-6 T. Find:
a) the amplitude for its electric field when the magnetic field isalong +y-direction
c) the intensity of the EM wave

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