Voigt2DMod

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

Function

\[z=z0+A*\left[\frac{mu}{(1+((x-xc)/w1)^2)*(1+((y-yc)/w2)^2)}+(1-mu)*exp(-\frac{1}{2}*(\frac{x-xc}{w1})^2-\frac{1}{2}*(\frac{y-yc}{w2})^2)\right]\]

Brief Description

The voigt surface with volume as parameter

Sample Curve

Parameter

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: \(mu \le 1\)

Derived Parameters

\[Volume=A*w1*w2*(mu*\pi^2+(1-mu)*2*\pi)\]

Script Access

nlf_Voigt2DMod(x,y,z0,A,xc,w1,yc,w2,mu)

Function File

FITFUNC\VOIGT2DMod.FDF