Gauss2D

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

Function

\[z=z_0+A\exp \left\{ -\frac 12\left( \frac{x-x_c}{w_1}\right) ^2-\frac 12\left( \frac{y-y_c}{w_2}\right) ^2\right\}\]

Brief Description

The Gaussian Surface

Sample Curve

Parameter

Number: 6

Name:	Meanings:	Lower Bounds:	Upper Bounds:
\[z_0\]	z offset
A	height
\[x_c\]	x center
\[w_1\]	x width	\[w_1>0\]
\[y_c\]	y center
\[w_2\]	y width	\[w_2>0\]

Derived Parameters

\[FWHM_x=2w_1\sqrt{2ln(2)}\]

\[FWHM_y=2w_2\sqrt{2ln(2)}\]

\[Volume=2\pi Aw_1w_2\]

Script Access

Function File

fitfunc\Gauss2D.fdf