a: 10 klx
b: 40 klx
c: 80 klx
Statistical error in mm (in)
0
0
5
(16.4)
15
(49.2)
20
(65.6)
25
(82.0)
5
(0.20)
10
(0.39)
15
(0.59)
20
(0.79)
Object distance in m (ft)
10
(32.8)
30
(98.4)
c
b
a
Figure 11: Statistical error for
black objects
as a function of object distance for various ambient
light influences
3.4.6
Object sizes
As the distance from the device increases, the laser beam expands. As a result, the
diameter of the light spot on the surface of the object increases.
1
2
Figure 12: Beam expansion
1
Expanded laser beam
2
Optical axis
Values required to calculate the light spot size:
•
Light spot size on the device cover: 7 mm (rounded up)
•
Divergence of 1 light spot: 0.59 deg (10.4 mrad)
•
HDDM+ supplement (1 spot comprises several superimposed individual pulses):
1.50 deg (26.2 mrad)
Formula for calculating the light spot width:
(Light spot divergence [mrad] + HDDM+ supplement [mrad]) x distance [mm] + light
spot size on the device cover [mm] = light spot width [mm]
Example calculation of the light spot width at a distance of 16 m (16,000 mm):
(10.4 mrad + 26.2 mrad) * 16,000 mm + 7 mm = 592.6 mm
Formula for calculating the height of the light spot:
Light spot divergence [mrad] x Distance [mm] + Light spot height at the n device cover
[mm] = Light spot width [mm]
Example calculation of the light spot height at a distance of 16 m (1,600 mm):
10.4 mrad * 16,000 mm + 7 mm = 173.4 mm
Formula for calculating the minimum object size:
(Light spot divergence [mrad] + angular resolution [mrad]) x distance [mm] + light spot
height on the device cover [mm] = minimum object size [mm]
Example calculation of the minimum object size at a distance of 16 m (16,000 mm):
Angular resolution: 0.75° -> 13.1 mrad
3
PRODUCT DESCRIPTION
16
O P E R A T I N G I N S T R U C T I O N S | LMS1104C-111031S01
8023051/1AZG/2021-05-10 | SICK
Subject to change without notice