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A signal from a narrow-line DBR laser around 1500 nm is fed in another similar laser, detuned of f=20 GHz from the first. The laser gain is c = 200 cm-1, loss is c =10 cm-1, cavity length is L=200 m, mirror facets reflectivity is R=0.3, and power emitted is Pout= 1mW. Calculate the heterodyne injection gain and the signal amplitude for a detected power PS=1pW.