Due to the consideration of the carrier transport in the QWIP under...

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Due to the consideration of the carrier transport in the QWIP under normal device working conditions, we must envisage the conduction of both the thermal-excited and photo-excited electrons from one quantum to the next one. We thus consider the running wave eigz re iqz Z < 0 , 45 running (z) = Aeikz + Be-ikz , 0z< Low (5) teiaz, , Z > Low r, A, B and t are easily obtained by matching the wave function and its first-order derivative at interfaces of 2 = and Z - Low. Homework 7 Take a single GaAs QW embedded in AL2Ga1-zAs Ec(z) = { 0 0 for Z < 0 for 0 Z < Low (7) for Z > Low Due to the finite barrier height, the wave function of the confined state penetrates into the barrier region. As a first-order approximation, let us neglect the wave function penetration in the barrier and approximate the ground confined state as for z <0 4/1 (z) A sin TTZ = Low ) for 0 < Z < Low (8) for Z > LQW where A is the wave function normalization factor (what is A?). Use the running wave boundary condition Eq. (5) to calculate the wave function of the extended state VE running (z), then calculate the optical transition matrix element between 4/1 (z) and (z), i.e., durunning dz (z) dz as a function of E, where E > 0.

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