ECE227A HW 5 Solutions

ECE227A HW 5 Solutions - 2-1.1 Solutions Manual Coldren...

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2-1.1 Solutions Manual: Coldren & Corzine Chapter 2: Phenomen. Approach to Diode Lasers 2.1: a) Internal efficiency is the fraction of injected carriers that generate carriers in the active region. So to compute i/,-, divide the carriers per time (current) that generate carriers in the active region by the total carriers per time: Current generating carriers in active region 17,- = Internal efficiency = 2— Total current TJj = = 1 = b) The total loss is the mirror loss plus the internal modal loss. The differential efficiency is defined by Eq. 2.35. Combining these two definitions gives the following result: where a m = mirror loss and a t< , ta i <*m4- < <*< >= total loss. Note that this assumes that rjj includes power coming out both facets. If power is only measured out one facet, then T/J = ^a*™,, »7. Inr + lip + lit + c) The radiative efficiency is the fraction of carriers considered in part (a) that recombine radiatively. Below threshold, we can assume I, f <C I,t • r, r = R " + R>t « ^i£ (2.6) R,t + R, 7r « lip + Inr + 26 Solutions by R. Kehl Sink
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Chapter 2: Phenomen. Approach to Diode Lasers Solutions Manual: Coldren & Corzine 2-2.1 '2.2: a) The volume of the reservoir is the product of the cross sectional area and the height. Since the area is constant, we can write the following: b) In steady state, dh/dt = 0. Using the result from part a, we can solve for the steady state height. Only the positive root of the quadratic equation is used since the height is positive.
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