Assume you have horizontally polarized light coming through QWP at i) 0 = 20 °, ii) 0 = 45 °. What is the Jones matrix of the QWP and its effect on the incoming light for each case? What is thefinal status of light for each case?
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- Suppose you want to rotate the plane of polarization of a beam of polarized light by 67°, but you do not want the final intensity to be less than 88% of the initial intensity. What is the minimum number of polarizing sheets you must use? Assume that each sheet is rotated the same angle relative to the adjacent sheets.Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 0, = 19.0°, 0, = 41.0°, and 0, = 59.0°. Hint: Make repeated úse of Malus's law. If = units 02 IWhat are the energy and momentum of a photon of red light of wavelength 620 nanometers (nm)? What is the wavelength (in nm) of photons of energy 2.40 eV?
- Please asap2. (a) Write general complex exponential expressions for two electric field waves (1 and 2) shown below. Both are plane waves with the same wavelength 2, frequency w, and polarization. (b) Derive an expression for the irradiance (I) of the combination of these two fields. Assume 0 <<1 rad.Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 8, 15.0°, 0,= 45.0°, and 83=57.0°. Hint: Make repeated use of Malus's law. I₁ = units 4, 8₁Learning Goal: To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters. The two transverse waves shown in the figure (Figure 1) both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction. Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter,…Malus's Law Below is an image of light with initial intensity lo = 750.0 W/m² going through 2 polarizing filters. The first polarizing filter is oriented with vertical polarization. The angle between the two polarizing filters is 0 = 35.0 degrees. The light is initially polarized horizontal before entering the first polarizing filter. What is the intensity of the light at l, (after passing through both filters)? Make sure to give your answer in units of W/m² and with an appropriate number of significant figures. Polarizing Filter, Polarizing Filter, Io 12 Your Answer: AnswerPolarized light passes through two rotated filters from left to right, as shown. At the point A, its intensity is Io. The polarization axis of the first polarizer makes an angle 01= 52.6° with the direction of polarization the incoming light. The polarization axis of the second polarizer makes an angle 02= 59.6° degrees with the polarization axis of the first polarizer. E Polarized В light The intensity of light at the point C is: