Saturable Absorption - Relation With Wright Omega Function

Relation With Wright Omega Function

In the simplest geometry, when the rays of the absorbing light are parallel, the intensity can be described with the Bouguer law,

where is coordinate in the direction of propagation. Substitution of (1) into (2) gives the equation

With the dimensionless variables, equation (3) can be rewritten as

The solution can be expressed in terms of the Wright Omega function :

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