Question

An achromat is a two-lens system in which the chromatic aberration of a biconvex positive lens is corrected by a plano-concave negative lens. The light passes through the positive lens before the negative lens. Both lenses have different indexes of refraction. A successful achromat will make the image produced by the two-lens system form at the same point for both blue light at 450 nm and red light at 650 nm.

1. How far from both lenses is the image made by the achromat? Is it inverted, upright, real, or virtual? Assume the distance between the positive and negative lens is zero and that the object being imaged by the achromat is an infinite distance from the first, positive lens.

2. Use the Lens Equation and Lens Maker's Equation to find the radius of curvature for the face of the negative, plano-concave lens made of flint glass which corrects the chromatic aberration of a biconvex lens (figured with R1 = 9.08 cm = -R2) made of crown glass.

Please show a sketch/graphic of the problem, solve each in step-by-step format, highlight principals and equations required to solve, and explain why your answer makes logical sense. Thank you.

Answer 1

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