This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 indexmatching liquid of refractive index n 1 . The indexmatching 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 (righthand 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...
View
Full
Document
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
 Gaylord
 Integrated Circuit

Click to edit the document details