Справочник Пользователя для Sigma LBA-300

 

 

The standard deviations are derived from the variances of the energy distributions and are equal to 

the standard deviations squared.  The variances are: 
  

σ

2

2

=

−

⋅

∑

∑

∑

∑

(

)

( ,

( , )

)

 

 

σ

2

2

=

−

⋅

∑

∑

∑

∑

(

)

( ,

( , )

)

 

 

Where:  

= the intensity of the pixel

x and y are the coordinates of the centroid

 

  

 

Only beam propagation factors based on beam widths and divergence angles derived from the second 
moments of the energy density distribution function, will allow one to predict how a beam will 

propagate.  Other definitions of the beam widths and divergence angles may be used, but they must 

be shown to be equivalent to the second moment definitions for computing the correct beam 

propagation. 
To make an accurate measurement of the beam widths with the LBA-PC you must aperture the beam 

inside a Drawn or Auto Aperture.  The aperture must be approximately 2x the size of the beam.  The 
Auto Aperture feature of the LBA-PC will automatically provide such an aperture under most operating 

conditions.  It can be used in combination with a Drawn Aperture if needed.  If your beam size is 

already equal to about 1/2 the beam display window, then you can usually get by without drawing an 

aperture, just be sure to center the beam in the window. 

 

Beam widths are computed using special algorithms that simulate knife-edge techniques.  The method 

employed in the LBA-PC borrows from two sources.  They are: 
ISO 11146 Lasers and laser-related equipment—Test methods for laser beam parameters— Beam 

Widths, divergence angle and beam propagation factor  
Note this document is being revised and split into three parts:  

•  11146-1, Part 1: Stigmatic and simple astigmatic beams 
•  11146-2, Part 2: General astigmatic beams 
•  11146-3, Part 3: Alternative test methods and geometrical laser beam classification and 

propagation 

And from the IEEE Journal of Quantum Electronics, Vol 27, No 4, April 1991 Choice of Clip Levels for 

Beam Width Measurements Using Knife-Edge Techniques by Siegman, Sasnett and Johnston. 
The LBA offers the operator two methods for computing Knife Edge beam widths.  The 90/10 

method presets the Clip% values to 90% and 10% respectively, and the Multiplier to 1.561.  

These are the recommended values based upon the above Siegman, et al. paper, and are very 

compatible with CCD camera noise figures.  These values are perfectly correct for computing an 

Operator’s Manual 

 

LBA-PC 

 

Doc. No. 10654-001, Rev 4.10 

133