“…where η s is the fraction of power dissipated as heat (normally associated with the quantum defect 1 − λ p /λ l , where λ p and λ l are the pump and lasing wavelengths, respectively), w p is the pumping waist size inside the gain medium, γ is the absorption coefficient and P(t) accounts for the pump temporal profile. The boundary conditions for such a geometry have been intensively studied in previous works [11,24,28] . In the general case, Newton's law of heat transfer governs the boundary conditions.…”