In Fig. 33-76, unpolarized light is sent into a system of three polarizing sheets with polarizing directions at angles , , and. What fraction of the initial light intensity emerges from the system?
The fraction of the initial light intensity that emerges from the system is
The values of the angle is:
If the incident light is un-polarized, then the intensity of the merging light using one-half rule is given by:
If the incident light is already polarized, then the intensity of the emerging light is cosine –squared of the intensity of incident light is as follows:
Here, is the angle between polarization of the incident light and the polarization axis of the sheet.
If the original light is initially unpolarized,the transmitted intensity is
As the original light is initially unpolarized here. Therefore,
If the original light is initially polarized, the transmitted intensity is
The intensity from the second sheet is as follows:
And the intensity from the third sheet is
Here,the is the relative angle between the first and the second polarizing sheet and the is the relative angle between the second and the third polarizing sheet.
Thus, from the figure,
Similarly for the angle,
Substitute the value of and in equation (1), we get,
Therefore, the fraction of the initial light intensity that emerges from the system is
(a) Figure 33-27 shows light reaching a polarizing sheet whose polarizing direction is parallel to a y axis. We shall rotate the sheet 40° clockwise about the light’s indicated line of travel. During this rotation, does the fraction of the initial light intensity passed by the sheet increase, decrease, or remain the same if the light is (a) initially unpolarized, (b) initially polarized parallel to the x axis, and (c) initially polarized parallel to the y axis?
Question: An electromagnetic wave with frequency travels through vacuum in the positive direction of an x axis. The wave has its electric field oscillating parallel to the y axis, with an amplitude . At time , the electric field at point P on the x axis has a value of and is decreasing with time. What is the distance along the x axis from point P to the first point with if we search in (a) the negative direction and (b) the positive direction of the x axis?
The electric component of a beam of polarized light is
(a) Write an expression for the magnetic field component of the wave, including a value for .
What are the (b) wavelength, (c) period, and (d) intensity of this light?
(e) Parallel to which axis does the magnetic field oscillate?
(f) In which region of the electromagnetic spectrum is this wave?
94% of StudySmarter users get better grades.Sign up for free