# Definitions for **Airy function**

### This page provides all possible meanings and translations of the word **Airy function**

### Wiktionary

Airy function(Noun)

A function, denoted by Ai(x), that is a solution to the Airy equation.

**Origin:** Named after .

### Freebase

Airy function

In the physical sciences, the Airy function Ai(x) is a special function named after the British astronomer George Biddell Airy. The function Ai(x) and the related function Bi(x), which is also called the Airy function, but sometimes referred to as the Bairy function, are solutions to the differential equation known as the Airy equation or the Stokes equation. This is the simplest second-order linear differential equation with a turning point. The Airy function is the solution to Schrödinger's equation for a particle confined within a triangular potential well and for a particle in a one-dimensional constant force field. For the same reason, it also serves to provide uniform semiclassical approximations near a turning point in the WKB method, when the potential may be locally approximated by a linear function of position. The triangular potential well solution is directly relevant for the understanding of many semiconductor devices. The Airy function also underlies the form of the intensity near an optical directional caustic, such as that of the rainbow. Historically, this was the mathematical problem that led Airy to develop this special function. The Airy function is also important in microscopy and astronomy; it describes the pattern, due to diffraction and interference, produced by a point source of light.

### Images & Illustrations of Airy function

# Translation

#### Find a translation for the **Airy function** definition in other languages:

Select another language:

#### Discuss these Airy function definitions with the community:

# Word of the Day

#### Would you like us to send you a **FREE** new word definition delivered to your inbox daily?

# Citation

## Use the citation below to add this definition to your bibliography:

"Airy function." *Definitions.net.* STANDS4 LLC, 2015. Web. 1 Dec. 2015. <http://www.definitions.net/definition/Airy function>.