28.3.10 Gaussian2D

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

Gauss2DRotated.png

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