Question

Spontaneous Emission into Prescribed Modes.

a) Consider a 1-μm^3 cubic cavity containing a medium of refractiveindex n=1. What are the mode numbers (q1, q2, q3) of the lowest-and the next-higher-frequency modes (see Chapter 10?) Show thatthese frequencies are 260 and 367 THz.

b) Consider a single excited atom in the cavity when it contains zerophotons. Let psp1 be the probability density (s^-1) that the atomspontaneously emits a photon into the (2, 1, 1) mode, and let psp2be the probability density that atom spontaneously emits a photonwith frequency 367 THz. Determine the ratio psp2/psp1.

Answer 1