Gaussian fit – Gentec-EO Beamage-3.0 User Manual

Page 57

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Beamage-3.0 User Manual Revision 6.0

56

6.3.2. Gaussian Fit

The

“Gaussian Fit” function fits the best Gaussian curve on the experimental data. When the “Gaussian

Fit” is activated, it displays three information on the graphic’s upper right corner.

1.

The Gaussian equation

The first information to be displayed is the equation of the fitted Gaussian. The Gaussian equation is
defined by:

( )

[ (

)

]


where w is

the beam’s radius, c its centroid.


2.

The Gaussian Fit factor

The Gaussian Fit factor is defined as:

( ) [

∑|

|

]


where E is the experimental curve and E

a

is the theoretical Gaussian curve.

The closer to 100%, the better the Gaussian fit.

3.

The Roughness Fit factor

The Roughness Fit factor is the maximum deviation between the theoretical Gaussian curve and the
measured curve, as defined by ISO13694:2000

2

:

( ) [

|

|

]

where E is the experimental curve and E

a

is the theoretical Gaussian curve.

The closer to 0%, the better the Gaussian fit.

2

International Organization for Standardization, ISO 13694 :2000 Laser and laser-related equipment

Test methods for laser beam power (energy) density distribution, Geneva

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