By Francis Jenkins, Harvey White
Jenkins F.A., White H.E., Jenkins F., White H. basics of Optics (MGH technological know-how Engineering Math, 2001)(ISBN 0072561912)(766s)
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It will be shown in Sec. 4 that the ratio of the focal lengths f'Lf is equal to the ratio n'/n of the corresponding refractive indices [see Eq.
See Fig. 13). Ans. 13 Graph for part (b) of Prob. 13. 50 mm thick to close the two ends, is thoroughly evacuated. 5250, find the overall optical path between the two outer glass surfaces. 33300. Give answers to five significant figures. 5250. Find ,p', ,p, d, d', p, and 11, to three significant figures. Ans. 16 Solve Prob. 15 graphically. 17 In studying the refraction of light Kepler arrived at a refraction formula ,p' ,p = -1 ---k-s-ec-,p' where n' - 1 k=-n' n' being the relative index of refraction.
To find the real path, we first drop a perpendicular to GH and extend it an equal distance on the other side to Q'. The straight line Q' Q" is drawn in, and from its intersection B the line QB • Pierre de Fermat (1601-1665), French mathematician, born at Beaumont-deLomagne. In his youth, with Pascal, he made discoveries about the properties of numbers, on which he later built his method of calculating probabilities. His brilliant researches in the theory of numbers rank him as the founder of modern theory.