Problem 5 a laser mwatu pulse of frequency ω ; wavelength λ-0.5 um, pulse duration tri intensity i -i vel scheme relaxation aiccsedit ofis n. levels 12 and ㎝jis tuned to resonance with a gaseous system of two-level atoms whose le 10per sec. assume that there are no other relaxation transition of the same rate a 1o processes, and ignore doppler effects: 0- pulsed laser frequency co- 0 the bloch equations [a form of density matrix equations] describing the resonant interaction of a short-pulsed monochromatic laser (frequency ω。) with a two-level atom with energy levels as shown in the figure are given below: - hate. dwidt =-a(1+w) where v-i(p21-p12) and w =(p22-pii),and β 1/e+a2 , t、me v (3 points) a. what are p2,pii, p2 and p, a. b. t in terms of atomic parameters such as energy level and dipole moment and time constants? to describe the laser excitation process. (5 pointś) b solved the equations for the case where the induced transition rate is much larger v(2 points) b. explain the conditions that justify using bloch equations rather than rate equation than spontaneops transition, i. c. ignore the latter at what value of χ would you obtain population inversion?