In optics, the complex beam parameter is a complex number that specifies the properties of a Gaussian beam at a particular point z along the axis of the beam. It is usually denoted by q. It can be calculated from the beam's vacuum wavelength λ0, the radius of curvature R of the phase front, the index of refraction n (n=1 for air), and the beam radius w (defined at 1/e2 intensity), according to:
- .
Alternatively, q can be calculated according to
where z is the location at which q is calculated, relative to the location of the beam waist, z0 is the Rayleigh range, and i is the imaginary unit.
Read more about Complex Beam Parameter: Uses of The Complex Beam Parameter
Famous quotes containing the words complex and/or beam:
“Uneducated people are unfortunate in that they do grasp complex issues, educated people, on the other hand, often do not understand simplicity, which is a far greater misfortune.”
—Franz Grillparzer (1791–1872)
“Why beholdest thou the mote that is in thy brother’s eye, but considerest not the beam that is in thine own eye?”
—Bible: New Testament Jesus, in Matthew, 7:3.
From the Sermon on the Mount.