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Engineering and Comp Sci Homework Help
Finding the radii of curvature for an achromatic lens
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[QUOTE="youmei0426, post: 6291920, member: 655459"] [B]Homework Statement:[/B] An achromatic lens is to be made by combining plano-convex and plano-concave lenses made from two different types of glass, A and B. These have the following refractive indexes: red light: A - 1.51 B - 1.64 blue light: A - 1.53 B - 1.68 What radii of curvature should be used to produce a combination equivalent to a converging lens with a focal length of 500mm? [B]Relevant Equations:[/B] 1/f = 1/f_1 + 1/f_2 1/f = (n-1)(1/R_1+1/R_2) R - curvature n - refractive index f - focal length Since the two lenses are plano-concave and plano-convex, the lens maker equation can be simplified into containing only 1 R for each of the lens. Substituting the values for the red light, I got: 1/f[SUB]1[/SUB]=0.51/R[SUB]1[/SUB] and 1/f[SUB]2[/SUB] = 0.64/R[SUB]2[/SUB]. Adding these two equations and equating them to 1/(500*10[SUP]-3[/SUP]). However, this equation clearly has two variables. I'm sure we need to use the data for the blue light, but I am not sure how I can incorporate them into the equations? The curvatures of the lenses should not change as the wavelength changes... Thanks in advance for the help! [/QUOTE]
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Finding the radii of curvature for an achromatic lens
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