ECE_4300_Homework_1

ECE_4300_Homework_1 - a. Find the ABCD matrix for one round...

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ECE 4300 H o m e w o r k 1 September 3, 2008 Due: Wednesday, September 10, in class This will be graded S/U. You may work with others on this assignment, but by turning in this homework, and signing your name to it, you are saying that you have done the work and understand the material. 1. Derive the ABCD matrix, using real slopes (not the reduced slope discussed in the text) for the following optical systems a. Convex mirror R b. Planar dielectric interface n1 n2 c. Curved dielectric interface n2 n1 2. Find the ABCD matrix for the “thick lens”. The curved surfaces have concave shapes with radii as shown below. t n2 n1 R1 R2 3. For the cavity shown below:
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Unformatted text preview: a. Find the ABCD matrix for one round trip. Start at the 100 cm mirror and move right. b. Is the cavity stable? c. If a ray is injected into the cavity through the 100 cm mirror, with height 1 mm above the optical axis and parallel to the optical axis, what is the height and slope of the ray after one round trip? After two round trips? How many round trips are needed until the ray returns to its original height and slope? d. Develop an analytical expression that finds the number of round trips needed until the ray returns to its original state. R=100 cm R=200 cm 125 cm...
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This note was uploaded on 07/09/2009 for the course ECE 4300 taught by Professor Lipson/pollock during the Fall '08 term at Cornell.

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ECE_4300_Homework_1 - a. Find the ABCD matrix for one round...

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