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Unformatted text preview: Liquid Immersion Sphere Lens A miniature sphere lens is to be used to magnify a small planar object such as an integrated circuit. The sphere lens has a refractive index of n 1 and a radius of R . The sphere lens is used together with an index-matching liquid of refractive index n 1 . The index-matching liquid is placed between the planar object and the sphere lens as shown in the figure. The refractive index of the surrounding medium is n 2 . A point on the planar object is at a distance of h from the axis of the lens. Two rays from this point object are shown in the diagram. Projecting the refracted rays (right-hand region) back to the left, the virtual image may be visualized. Using exact ray tracing (without approximation), calculate, showing all work, analytic expressions for the coordinates ( x m ,y m ) of the point image as a function of the object distance h . Let x = 0 ,y = 0 be located at the center of the sphere. Calculate, showing all work, an analytic expression for the transverse linear magnification...
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This note was uploaded on 04/29/2008 for the course ECE 4500 taught by Professor Gaylord during the Spring '08 term at Georgia Institute of Technology.
- Spring '08
- Integrated Circuit