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 with, relation, wright and/or function:
“[Man’s] life consists in a relation with all things: stone, earth, trees, flowers, water, insects, fishes, birds, creatures, sun, rainbow, children, women, other men. But his greatest and final relation is with the sun.”
—D.H. (David Herbert)
“To criticize is to appreciate, to appropriate, to take intellectual possession, to establish in fine a relation with the criticized thing and to make it one’s own.”
—Henry James (1843–1916)
“In the world of the celebrity, the hierarchy of publicity has replaced the hierarchy of descent and even of great wealth.”
—C. Wright Mills (1916–1962)
“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)