Question

question from fundamentals of photonics saleh.

Comparison of Stimulated and Spontaneous Emission. An atom with two energy levels corresponding to the transition (lambda_0 = 0.7 mu m, t_sp = 3 ms, delta v = 50 GHz, Lorentzian lineshape) is placed in a resonator of volume V = 100 cm^3 and refractive index n = 1. Two radiation modes (one at the center frequency v_o and the other at V_0 delta v) are excited with 1000 photons each. Determine the probability density for stimulated emission (or absorption), If N_2 such atoms are excited to energy level 2, determine the time constant for the decay of N_2 due to stimulated and spontaneous emission. How many photons (rather than 1000) should be present so that the decay rate due to stimulated emission equals that due to spontaneous emission?

Answer 1

- 100 CM 2 (0d Jk U.

3 x0 se dt N (t)-N(s) exp[-%) = l. 1 x10/1 photons at each