Phenomenology of Saturable Absorption
Within the simple model of saturated absorption, the relaxation rate of excitations does not depend on the intensity Then, for the continuous-wave operation, the absorption rate (or simply absorption) is determined by intensity :
where is linear absorption, and is saturation intensity. These parameters are related with the concentration of the active centers in the medium, the effective cross-sections and the lifetime of the excitations.
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“These philosophers dwell on the inevitability and unchangeableness of laws, on the power of temperament and constitution, the three goon, or qualities, and the circumstances, or birth and affinity. The end is an immense consolation; eternal absorption in Brahma.”
—Henry David Thoreau (18171862)