“…n(0) = -nt, ϕ(0) = 0 (6) where σem = 1.1•10 -18 cm 2 is the room-temperature emission cross section at a wavelength of λ = 4.5 μm, h is Planck's constant, νp is the pump radiation frequency, Ia(t) = Ip(t) [1exp [-(nt -n(t)) / 2) σabs•l)] is the absorbed pump intensity, Ip(t) is the pump intensity, c = -2L / (c • ln[R1 R2(1 -ti) 2 ]) is the photon lifetime in the laser cavity (L is the cavity length, R1 and R2 are the reflectivity of the mirrors, and ti ≈ 0.95 is cavity loss), c is the speed of light in vacuum, Va is the volume filled by the mode inside the active medium, V is the volume filled by the mode inside the cavity, l is the Fe:ZnSe crystal thickness, and ϕ0 are extra photons that are initially present in the cavity to allow laser action to start [28]. Equation 6describes the initial conditions of this system.…”