A laser combines pumping, an amplifying medium and optical feedback. Stimulated emission adds photons to an occupied optical mode; net amplification requires population inversion between the relevant levels after accounting for their degeneracies. Pumping through additional levels and rapid lower-level relaxation can sustain inversion; a closed two-level system under steady incoherent resonant pumping cannot sustain it.
An optical resonator selects modes and feeds light back through the gain medium. For intensity gain coefficient , internal intensity loss , length and mirror intensity reflectivities , the round-trip laser threshold condition isAbove threshold, saturation limits gain and a partially transmitting mirror provides output. Typical properties are strong directionality, substantial coherence and narrow bandwidth; multiple modes and pulsed operation are possible, so perfect monochromaticity is not universal.[ref]
Fundamentals of Photonics and Quantum Electronics lecture notes by Franz X. Kärtner. Chapter7,§§7.1–7.2 and laser threshold: feedback, gain and level schemes
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