30.3.21 Voigt2D

1 Function
2 Brief Description
3 Sample Curve
4 Parameters
5 Script Access
6 Function File
7 Category

Function

$z=z_0+A\left[\frac{\mu\!}{\left[1+\left(\frac{x-x_c}{w_1}\right)^2\right]\left[1+\left(\frac{y-y_c}{w_2}\right)^2\right]}+(1-\mu\!)\exp(-\frac{1}{2}\left(\frac{x-x_c}{w_1}\right)^2-\frac{1}{2}\left(\frac{y-y_c}{w_2}\right)^2)\right]$

Brief Description

The voigt surface.

Sample Curve

Parameters

Number: 7

Names: z0, A, xc, w1, yc, w2, mu

Meanings: z0 = z offset, A = height, xc = x center, w1 = x width, yc = y center, w2 = y width, mu = profile shape factor

Lower Bounds: $w1 > 0$ , $w2 > 0$ , $mu \ge 0$

Upper Bounds: $mu \le 1$

Script Access

nlf_Voigt2D(x,y,z0,A,xc,w1,yc,w2,mu)

Function File

FITFUNC\VOIGT2D.FDF