30.3.10 Gaussian2D

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

Parameters

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