Calculate the minimum thickness needed for an antireflective coating (n=1.38) applied to a glass lens in order to eliminate (a) blue (450 nm), or (b) red (720 nm) reflections for light at normal incidence
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Calculate the minimum thickness needed for an antireflective coating (n=1.38) applied to a glass lens in order to eliminate (a) blue (450 nm), or (b) red (720 nm) reflections for light at normal incidence
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- A lens that has an index of refraction of 1.51 is coated with a non-reflective coating that has an index of refraction of 1.75. Determine the minimum thickness for the film if it is to be non-reflecting for light of wavelength 5.60 x 10² nm in air.While flying at an altitude of 9.50 km, you look out the window at various objects on the ground. If your ability to distinguish two objects is limited only by diffraction, find the smallest separation between two objects on the ground that are distin- guishable. Assume your pupil has a diameter of 4.0 mm and take A = 575 nm.The Hubble Space Telescope (HST) orbits Earth at an altitude of 613 km. It has an objective mirror that is 2.40 m in diameter. If the HST were to look down on Earth's surface (rather than up at the stars), what is the minimum separation of two objects that could be resolved using 549 nm light? [IVote: The HST is used only for astronomical work, but a (classified) number of similar telescopes are in orbit for spy purposes.]
- Optical fibers are a central part of technology for rapid information transmission with a high level of efficiency. A new type of optical fiber is crafted with an index of refraction n = less than that of water in the vicinity of room temperature, where NH2O fact that n < nH20 potentially problematic if the fiber should be submerged? 1.25 = 1.33. Why is the O A. Total internal reflection would be frustrated, allowing loss of signal. O B. Internal reflection would actually be enhanced, so there is no problem. C. Electric eels might have free internet access.Light containing wavelengths of 400 nm, 500 nm, and 650 nm is incident from air on a block of crown glass at an angle of 38.6°. (Assume crown glass has refractive indices of n 400 nm = 1.53, n 500 nm = 1.52, and n650 nm = 1.51.) (a) Are all colors refracted alike, or is one color bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b) Calculate the angle of refraction in each case to verify your answer. (Enter your answer to at least two decimal places.) 400 nm nm 0.500 0650 nm =What is the smallest possible feature size that can be resolved by using a 193-nm optical source and the highest possible NA that can be obtained by a lens when exposing the image in air? Note that NA can be determined by the equation NA = n∙sin(θ) where n is the index of refraction of the medium in which the lens is working (air in this instance) and θ is the maximal half-angle of the cone of light that can enter or exit the lens and has a maximum possible value of 90˚ for a very large lens.
- Building contractors often install double-glazed windows to prevent thermal energy (heat) from entering or exiting a building. In addition to being effective insulators, such windows present interesting optical effects. 62.0 mm In the figure, a double-glazed window consists of two identical of glass (ng panes 1.54), each yg thick, separated by an air gap of ya = 49.6 mm. Use na = 1.00 for the index of refraction of air. = If light incident on the glass makes an angle of = 40.00° with respect to the glass, find the shift in path Ax as the light enters the room. Ax = 42.36 Incorrect glass air glass mmA multi-mode fiber optic has a core index of n = 1.492 and a cladding index of 1.489. The diameter of the core is 30.0 microns. Monochromatic light is focused into one end of a perfectly straight fiber which is 25.0 km long. What will be the difference in arrival time at the far end of the fiber for the axial and marginal rays?Q 1. In a Newton's ring arrangement with air film observed with the light of wavelength 6× 10 cm, the difference of squares of diameters of successive rings is 0.125 cm?. What will happen to this quantity if: (a)Wavelength of light is changed to 4.5 × 10° cm. (b)A liquid of refractive index 1.33 is introduced between the lens and the plate. (c)The radius of curvature of the convex surface of the plano-convex lens is doubled. 700 om
- The index of refraction for violet light in silica flint glass is ny=1.68, and that for red is ng= 1.55. What is the angular dispersion of visible light passing through a prism of apex angle A= 59°, when the angle of incidence is 430. ? State your answer to the nearest 0.001°A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.44 degrees, and the first light has wavelength λ1 = 618 nm. Part (a) Find θ1 using n and λ1 in radians. Part (b) Find θ2 in radians. Part (c) Find the value of the wavelength of the second color λ2 in nm.