![]() The radius of curvature of the surface is positive, since the center of curvature is on the transmitted side. Thus the incident index is ni and transmitted index is nt 1. ![]() (e) To Solution The diver is looking at the fish, so the light is going from the fish to the eyes. (d) The fish appears to be 0 on the incident side of the mask. (c) The fish appears to be 0 on the transmitted side of the mask. (b) The fish appears to be 3 on the incident side of the mask. Where does the fish appear to be to the diver? Select One of the Following: The fish appears to be 0 on the incident side of the mask. There is thus a convex spherical surface between the water, nw and the air in the mask. The mirror equation then gives r 2f 4 Total Points for Problem: 3 Points Solution to Homework Problem 23(Magnifying a Fish) Problem: A scuba diver wears a diving mask with a faceplate that bulges outward with a radius of curvature of 0. Solution Apply the thin lens equation to find the focal length, 1 1 1 1 1 s f 10ft 3ft Solving for f gives f 2. Select One of the Following: (a) 9 4 (c) (d) 2 (e) To. Compute the radius of curvature of the mirror used. In the example the speaker presented, the object distance appeared to be about 10ft and the image distance about 3ft. r1 Using the single interface equation, ni1 nt1 nt1 ni1 s1 s1 r1 3 1 0 10cm s1 (b) Interface 2: The object distance for the second surface is s2 d s1 100cm 115cm For the second surface light goes from the Lucite back to the air, ni2 3 2 nt2 1 The second surface is also flat so r2 Substituting gives nt2 ni2 s2 s2 1 115cm s2 Total Points for Problem: 3 Points 1 Solution to Homework Problem 23(Old Trick) Problem: In the Physics of Art Talk, some of the Old Masters used a concave mirror to project the image of a subject on a screen so they could trace the subject and get the perspective right. observer Lucite Select One of the Following: (a) (c) object (d) (e) To Solution (a) Interface 1: The light travels from the air to the Lucite at the first interface ni1 1 nt1 3 2 s1 10cm The radius of curvature of a flat surface is infinity. Compute the final image location with reference to the end of the rod closest to your eye with correct sign based on our sign convention. The relationship of the Stokes parameters S 0, S 1, S 2, S 3 to intensity and polarization ellipse parameters is shown in the equations below and the figure on the right.Preview text Solution for Homework 23 Optical Systems Solution to Homework Problem 23(Image Formed Long Rod) Problem: You are looking at an object in air through a 1m long Lucite rod with index of refraction The object is 10cm from one end of the rod. Depiction of the polarization states on Poincaré sphere The Poincaré sphere is the parametrisation of the last three Stokes' parameters in spherical coordinates. ![]() The original Stokes paper was discovered independently by Francis Perrin in 1942 and by Subrahamanyan Chandrasekhar in 1947, who named it as the Stokes parameters.ĭefinitions Polarisation ellipse, showing the relationship to the Poincaré sphere parameters ψ and χ. ![]() The effect of an optical system on the polarization of light can be determined by constructing the Stokes vector for the input light and applying Mueller calculus, to obtain the Stokes vector of the light leaving the system. They were defined by George Gabriel Stokes in 1852, as a mathematically convenient alternative to the more common description of incoherent or partially polarized radiation in terms of its total intensity ( I), (fractional) degree of polarization ( p), and the shape parameters of the polarization ellipse. The Stokes parameters are a set of values that describe the polarization state of electromagnetic radiation. Set of values that describe the polarization state of electromagnetic radiation The Stokes I, Q, U and V parameters ![]()
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