Worksheet: Polarization of Electromagnetic Radiation
In this worksheet, we will practice calculating the change in the intensity of light that is passed through a system of polarizing filters.
Two polarizing sheets are placed together to form a combination with transmission axes of the polarizers oriented at an angle to each other. With the polarizers so aligned, the amount of light that passes through the sheets is of the maximum possible intensity of plane polarized light that the combination can transmit. What percentage of unpolarized light would be transmitted through the combination?
The light incident on polarizing sheet is linearly polarized at an angle of with respect to the transmission axis of . Sheet is placed so that its axis is parallel to the polarization axis of the incident light.
What fraction of the incident light passes through ?
What fraction of the incident light is passed by the combination?
is rotated so as to produce a maximum value of intensity transmitted by the combination. What is the ratio of the maximum transmitted intensity to the transmitted intensity before was rotated?
A student places sheets and so that their transmission axes are at and , respectively. These angles are relative to the axis of polarization of a beam of linearly polarized light. This rotates the beam’s polarization by .
What fraction of light passes through ?
What fraction of light passes through both sheets?
The transmission angle for is changed to relative to the beam’s polarization axis. After the angle change, what fraction of light passes through both sheets?
On a day when the intensity of sunlight is 1.00 kW/m2, a circular lens 0.2000 m in diameter focuses light onto water in a black aluminum beaker. Two polarizing sheets of plastic are placed in front of the lens with their axes at an angle of to each other. The aluminum beaker has a mass of 30.0 grams and contains 250 grams of water. Assuming the sunlight is unpolarized and the polarizers are efficient, what is the initial rate of heating of the water, assuming an absorption of the light by the water? Use a value of for the specific heat capacity of water and a value of for the specific heat capacity of aluminum.
Three polarizing sheets are placed parallel to each other. The transmission axis of the second sheet is oriented at relative to the transmission axis of the first sheet, and the transmission axis of the third sheet is oriented at relative to the transmission axis of the first sheet. What fraction of the intensity of an unpolarized light beam incident on the first sheet is transmitted by the third sheet?
Suppose you put on two pairs of polarizing sunglasses with their transmission axes at an angle of relative to each other. How much longer will it take sunlight to deposit a given amount of energy in your eye compared with a single pair of sunglasses? Assume the lenses are clear except for their polarizing characteristics.
A ray of unpolarized light propagates in water. The light ray is incident on a plane layer of diamond, and the light ray reflected from the water-diamond interface is completely polarized. Find the angle of reflection of the polarized ray. Use a value of 1.33 for the refractive index of water, and use a value of 2.419 for the refractive index of diamond.