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# HW2 - ECE 455 Optical Electronics Homework 2 Due Sept 13...

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ECE 455: Optical Electronics Homework 2 Due: Sept. 13, 2011 1 Linear Cavity Stability Consider the laser cavity shown in Figure 1. (a) Construct an equivalent-lens waveguide. (b) Indicate a unit cell starting immediately after being reflected off of mirror M 1 . (c) Find the ray matrix for the unit cell from part (b). (d) Discuss the stability of this cavity by filling in Figure 2. You may find it useful to define g 1 and g 2 . Figure 1: A standard laser cavity with an intra-cavity lens 2 Ring Cavity Stability Consider the ring laser cavity shown in Figure 3. (a) Show an equivalent-lens waveguide for this cavity and identify a unit cell starting immediately after the lens and proceeding clockwise around the triangle. (b) What is the transmission matrix for this unit cell? (c) What are the values of d/f 1 that make this a stable cavity? 3 Short Answer Answer the following questions in one or more sentences. Non-sentence answers will recieve zero credit. (a) What is the purpose of the resonator in a laser? 1

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Figure 2: A stability diagram
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