1- If we have an etalon (a glass blade) with a thickness of 1 cm and a refractive index of 2, what will be the maximum and minimum total reflection? What is its total reflection coefficient for a wavelength of 500 nm?
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- To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?Two point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used? b. If violet light ( λλ = 420 nmnm ) is used?9. For a multimode step index fiber, the refractive indices of core and cladding are 1.53 and 1.50 respectively. If the radius of core is 50 um, calculate the Numerical Aperture, Acceptance angle, normalized frequency of the fiber (i.e, V number) and number of guided modes. The wavelength of light propagated is 1 pm. What should be the largest radius of this fiber so that it is a single mode step index fiber.
- ds. The metal Rubidium has BCC crystal structure of hike angle of diffraction for the 32.1 set of planes occurs at 27° first order reflection when monochromatic X-radiation wavelength of 0.0721 am is used having Compute (a) The inter-planar spacing for this set of planes. (b) Atomic radius for the rubidium atom. a1.48, n2 1.46 is designed to Q2: A Multimode fiber with core diameter 50um, nl = transmit data over 10 km at wavelength = 6*10 m. a) Calculate the Maximum angle of the incident light into the fiber core which allows the light to propagate through fiber core. b) Find the minimum angle that supports total internal reflection. c) Calculate the bandwidth limitation. d) Calculate number of modes that propagate inside the fiber. e) Find the launching angle (0) of the first three modes of propagation for which the rays successfully travel along the fiber (assume the reflection coefficient phase 8=0°).A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the eyepiece and out the objective, and can then be projected onto a satellite or the Moon. a. If this is done with the Mount Wilson telescope, producing a 2.1 m diameter beam of 690 nm light, what is the minimum angular spread, in radians, of the beam? b. Neglecting atmospheric effects, what is the diameter of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108 m?
- 3. a) Calculate the reflectance of a quarter-wave anti-reflecting film of magnesium fluoride (n = 1.35) coated on an optical glass surface of index 1.52. b) Calculate the peak reflectance of a high-reflecting multilayer film consisting of N = 4 stacks of coating materials with high-low refractive index (nH = 2.8 and n, = 1.4).The limit to the eye’s visual acuity is related to diffraction by the pupil.D = 2.85 mmdh = 1.25 m a. What is the angle between two just-resolvable points of light for a 2.85 mm diameter pupil in radians, assuming an average wavelength of 550 nm? θmin = b. Take your result to be the practical limit for the eye. What is the greatest possible distance in km a car can be from you if you can resolve its two headlights, given they are 1.25 m apart? L= c. What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye in mm? da =c) The primary mirror of the James Webb Space Telescope consists of 18 hexagonal seg- ments. To measure the step (height offset) between two adjacent segments, a blocker is inserted in the science instrument to only view a small patch of the mirror across two neighboring segments. The light from a star on this patch is then dispersed in wavelength via a grating, with a linear dispersion of 10 μm nm-1 onto a detector, with the wavelength of 1500 nm falling at the centre of the detector. Bright fringes are observed at -2.5 and +2.5 mm from the centre of the detector, with a further 41 bright and 42 dark fringes near equally spaced in between these positions. Calculate the step offset between the two mirror segments.
- Not sure how to approach this: You are designing a thin transparent reflective coating for the front surface of a sheet of glass. The index of refraction of the glass is 1.52, and when it is in use the coated glass has air on both sides. Because the coating is expensive, you want to use a layer that has the minimum thickness possible, which you determine to be 104nm. What should the index of refraction of the coating be if it must cancel 550 nm light that hits the coated surface at normal incidence?450 nm light is incident on two parallel glass plates (n=1.5) with air between them. A) What minimum thickness gap will result in constructive interference? B) What minimum thickness gap will result in destructive interference? 0. Al = | 1+ 2tn 2. Constructive (bright) A=m2 Destructive (dark) A=(m+½)^ 1. 2.A possible means for making an airplane invisible to radar is to coat the plane with an antireflective polymer. If radar waves have a wavelength of 3.00 cm and the index of refraction of the polymer is n make the coating? Assume nirplane > 1.50. 1.50, how thick would you %3D