\f1. Plot the following laser characteristics (listed below) using the steady state rate equation solutions ( see eq. 5.9 and 5.10 Coldren) with N as a parameter below and above Ith. Assume a logarithmic gain/carrier density relation: g=goLn(N/Ntr), where go=2100cm ' and Ntr=2x1018 cm-3. a) Np vs N b) g vs I C) N VS I d) Np vs I D Pout vs I For the calculation use the following constants: ni=0.8, ng=4, L=250um, R1=R2=0.32, ai=10cm-, W=100um, I=0.05, d=active thickness=0.05um, spontaneous emission factor Bs=1x10-3, 2=1um, Rsp=BN2+CN3 with B=1x10-10 and C=1x10-29