Gaussian2D

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

Function

\(z=z_0+A\exp \{-\frac 12(\frac{x\cdot\cos(theta)+y\cdot\sin(theta)-x_c\cdot\cos(theta)+y_c\cdot\sin(theta)}{w_1})^2\) \(-\frac 12(\frac{-x\cdot\sin(theta)+y\cdot\cos(theta)+x_c\cdot\sin(theta)-y_c\cdot\cos(theta)}{w_2})^2\}\)

Brief Description

The gaussian surface rotated.

Sample Curve

Parameter

Number: 7

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	\[w_2>0\]
\[theta\]	angle	0	\[2 * \pi\]

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\Gaussian2D.fdf