Question: need help with hw problem 1. Consider a 3 level system shown below where the energies of the levels and their atomic densities N1 {cm'3)

need help with hw problem

1. Consider a 3 level system shown below where the energies of the levels and their atomic densities N1 {cm'3) are shown. \"2 E2 2.4 EV N1 E1 1.3 EV Nu Eu '0 EV a. What is the wavelength of light emitted in the 2 >l transition? I]. If spontaneous emission constant Aalis 5 x l' T s'l: A21] =4xl' ? s'l:andA1.|;. = 3x10 '5 s'1 then (i) What is the lifetime oflevel 2? (i) What is the lifetime oflevel 1? (iii) If the2 >~l transition is homogeneously broadened= what is the natural linewidth {do}; ) of this transition ? c. If the light emitted from the 21 transition produces a very faint emission: how can you determine if this is laser emission {i.e_= stimulated) and not spontaneous emission? d. A laser is based on light amplication. How is the light amplied in a laser? e. Consider the spontaneous emission from level 2 to the ground state {level D). If atoms of density ll}12 atomsfcm'j' take part in this transition: what is the power (watts;I cm?) of the light emitted in this transition

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