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 :
Read more about this topic: Saturable Absorption
Famous quotes containing the words relation, wright and/or function:
“Unaware of the absurdity of it, we introduce our own petty household rules into the economy of the universe for which the life of generations, peoples, of entire planets, has no importance in relation to the general development.”
—Alexander Herzen (1812–1870)
“Let one persuade many, and he becomes confirmed and convinced, and cares for no better evidence.”
—Chauncey Wright (1830–1875)
“Of all the inhabitants of the inferno, none but Lucifer knows that hell is hell, and the secret function of purgatory is to make of heaven an effective reality.”
—Arnold Bennett (1867–1931)