Question A2 Blue light of vacuum wavelength 450 nm is travelling in a non-magnetic dielectric glass of refrac- tive index ng = 1.55. Calculate the impedance of the glass, the wavelength of light in the glass, and the critical angle 0c for total internal reflection at a glass-air interface.
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- Problem 6: Suppose you have polarized light of intensity 140 W/m2. What will its intensity be after passing through a polarizing filter with its axis at an 84° angle relative to the light’s polarization direction? Give your answer in terms of mW/m2.A beam of initially unpolarized light passes through a sequence of three ideal polarizers. The angle p12 between the axes of the first and second polarizers is 23.9°, and the angle p23 between the axes of the second and third polarizers is 58.7°. P12 P23 What is the ratio of the intensity I3 of light emerging from the third polarizer to the intensity Io of light incident on the first polarizer? I3 0.2256 Io IncorrectAnswer the following two bonus questions. a. The electric field in the EM wave is given by the following equation: E = 450sin(0.40z – 6.0 x 10°t)î, where E is N/C, z in meters and t in seconds. Determine the curl of the electric field (V X E). b. Use the divergence theorem to convert the Gauss' law from the integral form to the differential form.
- A beam of unpolarized light of intensity 2.17E3 W/m2 passes through a series of ideal polarizing filters with their polarizing directions turned to various angles as shown in the figure. What is the light intensity at point C (in W/m2)? Use 3 sig figs and scientific notationPolarized 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:Yellow light with wavelength 600nm propagates in the +x direction. The wave is linearly polarized along the ±y direction. a) Draw a labeled snapshot mode picture of what the electric and magnetic fields look like. Use vector representation. b) Determine the frequency of oscillation of the electric field vector for the yellow light. Is the magnitude of this frequency very large or very small?
- A.) Polarized light is incident on 5 polarizing sheets. The axis of the first polarized sheet makes an angle with the plane of polarization. Each subsequent sheet has an axis that is rotated by an angle from that of adjacent sheets. Find if 40% of the incident intensity is transmitted by the sheets. B.) Suppose you want to rotate the plane of polarization of a beam of polarized light by 82°, but you do not want the final intensity to be less than 57% 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. sheetsElectromagnetic Plane Waves: In infrared optical systems germanium is often used to form optical components. For infrared wavelengths, germanium can be considered lossless, non-magnetic (u- 1) and has a relative dielectric constant e 16. Consider a plane wave inside a piece of germanium incident at the interface between germanium and air. The plane wave is polarized parallel to the plane of incidence and the angle of incidence is halfway between the Brewster angle and the critical angle for total internal reflection. Germanium: Air: H1 = Ho i E1 = 16e, H2 = Ho i €2 = €o %3. Be A, a) What is the angle of incidence? b) What are the reflection and transmission coefficients for the wave at this angle of incidence?A.) Polarized light is incident on 6 polarizing sheets. The axis of the first polarized sheet makes an angle 0 with the plane of polarization. Each subsequent sheet has an axis that is rotated by an angle e from that of adjacent sheets. Find e if 34% of the incident intensity is transmitted by the sheets. B.) Suppose you want to rotate the plane of polarization of a beam of polarized light by 78°, but you do not want the final intensity to be less than 53% 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. sheets