4. A thin sheet of plastic (n = 1.60) is inserted between two panes of glass (n=1.50) to reduce infrared (A = 700 nm) losses. a) What thickness (in nm) is necessary to produce constructive interference in the reflected infrared radiation? b) What is the shortest wavelength visible light ( 400-700 nm) with destructive interference in the reflected radiation?
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- 2. In linear and circular polarization, consider monochromatic plane waves with frequency w propagating along the z axis in a dielectric characterized by permeabilities &, µ. a) Construct all linearly polarized wave and circular polarized wave solutions. Calculate E and B, given that Ex = Bx = 240 b) Consider two linearly polarized waves with E ||x and E ||y, respectively. Under what conditions their superposition is characterized by (i)linear and (ii) circular polarization? Given that Ex = 240White light hits the surface of a thin film (n = 1.6) perpendicularly. There is air on both sides of the membrane. The wavelengths 504 nm and 672 nm are missing from the reflected light. a) What is the minimum thickness of the thin film? b) Which wavelengths are strongly visible in the reflected light?10. A ray of light with a wavelength of 480 nm strikes a very thin soap film of thickness 2.00 nm, with air on each side of the film. Which statement is true? a. There will be constructive interference because the path difference is effectively zero, and phase change occurs at only one surface. b. There will be destructive interference because the path difference is effectively zero, and phase change occurs at only one surface. c. There will be constructive interference because the path difference is effectively zero, and phase change occurs at either surface. d. There will be destructive interference because the path difference is effectively zero, and phase change does not occur at either surface.
- We wish to coat flat glass (n = 1.50) with a transparent material (n = 1.32) so that reflection of light at wavelength 563 nm is eliminated by interference. What minimum thickness can the coating have to do this? Number i 93.8 Units nmThe figure shows four different cases where light of wavelength A reflects from both the top and the bottom of a thin film of thickness d. The indices of refraction of the film and the media above and below it are indicated in the figure(Figure 1). Figure 1.6 1 1.5 1.4 1.4 1.5 1.6 1.5 1.6 1.4 2 3 1 of 1 4 1.4 1.6 1.5 Y Part A For which of the cases will the two reflected rays undergo constructive interference if d=X/4? constructive interference occurs in case 2 and case 3 O constructive interference occurs in case 2 and case 4 constructive interference occurs in case 3 and case 4 constructive interference occurs in case 1 and case 2 Submit Part B Request Answer For which of the cases will the two reflected rays undergo constructive interference if d=λ/2? O constructive interference occurs in case 2 and case 3 O constructive interference occurs in case 2 and case 4 O constructive interference occurs in case 3 and case 4 constructive interference occurs in case 1 and case 2asap pls
- 8. A 26m wavelength of a radio wave is produced by two sources simultaneously. The interference of these two waves are observed at a point on a line perpendicular to the source. The sources are at a distance 78 and 143m away from the point of observation. Describe the nature of interference at the point and also find the order of the max/min reception at that point.3. Calculate the polarization loss factor (PLF)...in db and dimensionless of an antenna whose electric field polarization is expressed as: E = (ax+ ay)E(r,0,0), when the electric field of the incident wave given by E, = ax E, (x, y)e-k=The wavelength limits of human vision are 400 nm to 700 nm. A. Find the minimum frequency of light that human can see underwater? The speed of light in water is 1.33 times less than in the air. B. Find the maximum frequency of light that human can see underwater? The speed of light in water is 1.33 times less than in the air. C.Find the minimum wavelenght of light that human can see underwater? The speed of light in water is 1.33 times less than in the air. D. Find the maximum wavelenght of light that human can see underwater? The speed of light in water is 1.33 times less than in the air. (Item 4)