Assign1s - ECSE 527 Optical Engineering: Assignment 1...

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Unformatted text preview: ECSE 527 Optical Engineering: Assignment 1 SOLUTIONS 1. SOLUTION: 2. A positive lens can either magnify or reduce an image, depending on the location of an object. Is the same true for a negative lens? Investigate this question mathematically and derive an equation that you can use to prove whether or not a negative lens can either magnify or reduce the image as the object is translated long the axis. [5] SOLUTION: 1 1 1 s f f s f s fs s s M fs f s s f s i i = = = = Since a diverging lens has a negative focal length by convention and if f s = for >0, then + = + = 1 1 f f f M Therefore, if 0, then M 1 3. SOLUTION Figure 1. Figure 2 4. a) With reference to the diagram below, derive an expression for the relationship between angle and the focal length f, where R is the radius of curvature of a sphere of refractive index n1 which is surrounded by a medium of refractive index n . Use an exact refraction equation (i.e. do not use the paraxial approximation). ....
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This note was uploaded on 09/28/2010 for the course ECSE ECSE 527 taught by Professor Kirk during the Winter '10 term at McGill.

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Assign1s - ECSE 527 Optical Engineering: Assignment 1...

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