Saturable absorption

At sufficiently high incident light intensity, the ground state of a saturable absorber material is excited into an upper energy state at such a rate that there is insufficient time for it to decay back to the ground state before the ground state becomes depleted, causing the absorption to saturate.

The key parameters for a saturable absorber are its wavelength range (where in the electromagnetic spectrum it absorbs), its dynamic response (how fast it recovers), and its saturation intensity and fluence (at what intensity or pulse energy it saturates).

Saturable absorber materials are useful in laser cavities.

Within the simple model of saturated absorption, the relaxation rate of excitations does not depend on the intensity.

[1] In the simplest geometry, when the rays of the absorbing light are parallel, the intensity can be described with the Beer–Lambert law, where

, equation (3) can be rewritten as The solution can be expressed in terms of the Wright omega function

should be small compared to the relaxation time of the medium; it is assumed that the intensity is zero at

In the intermediate case (neither continuous, nor short pulse operation), the rate equations for excitation and relaxation in the optical medium must be considered together.

Saturation fluence is one of the factors that determine threshold in the gain media and limits the storage of energy in a pulsed disk laser.

[2] Absorption saturation, which results in decreased absorption at high incident light intensity, competes with other mechanisms (for example, increase in temperature, formation of color centers, etc.

[5] One atom thick layer of carbon, graphene, can be seen with the naked eye because it absorbs approximately 2.3% of white light, which is π times fine-structure constant.

[6] The saturable absorption response of graphene is wavelength independent from UV to IR, mid-IR and even to THz frequencies.

[7][8][9] In rolled-up graphene sheets (carbon nanotubes), saturable absorption is dependent on diameter and chirality.

Some materials, for example graphene, with very weak energy band gap (several meV), could absorb photons at Microwave and Terahertz band due to its interband absorption.

In one report, microwave absorbance of graphene always decreases with increasing the power and reaches at a constant level for power larger than a threshold value.

The microwave saturable absorption in graphene is almost independent of the incident frequency, which demonstrates that graphene may have important applications in graphene microwave photonics devices such as: microwave saturable absorber, modulator, polarizer, microwave signal processing, broad-band wireless access networks, sensor networks, radar, satellite communications, and so on.

[12][non-primary source needed] Saturable absorption has been demonstrated for X-rays.

In one study, a thin 50 nanometres (2.0×10−6 in) foil of aluminium was irradiated with soft X-ray laser radiation (wavelength 13.5 nm).

The short laser pulse knocked out core L-shell electrons without breaking the crystalline structure of the metal, making it transparent to soft X-rays of the same wavelength for about 40 femtoseconds.