In order to meet Laser Beam Profiling ISO11146 Standard, A Beam Waist diameter (W02) after focusing lens should preferably cover 20 of sensor area which is 88 μm, however, in some applications where high accuracy is required, covering more pixels is recommended.
A laser, with remote waist position and small waist size, analyzed using BSQ equipped with conventional 400 to 500 mm lenses, will result in a small beam waist and low coverage beam profiler camera sensor. For example, single mode lasers with very long Rayleigh lengths may not be suitably measured with the BeamSquared if standard, 400 to 600mm focal length lenses are used.
To improve the propagation measurement accuracy lasers with long Rayleigh lengths, larger beam waist diameters should be obtained by using longer focal length (f) lenses.
Model |
Region |
Focal length |
SP90554 |
UV 266-440 nm |
750 mm |
SP90558 |
UV 266-440 nm |
1000 mm |
SP90557 |
XNIR 1000-1550 nm |
750 mm |
SP90556 |
NIR 650-1000 nm |
750 mm |
SP90555 |
VIS 430-700 nm |
750 mm |
SP90559 |
VIS 430-700 nm |
1000 mm |
The new lenses were chosen based on a special software tool capable to simulate various laser systems and parameters such as M2, BPP, focused beam waist size, Wavelength, and Rayleigh range. This simulation enabled Ophir to emulate a wide variety of existing laser systems to fit an optimal set of lenses for maximum coverage and accurate results. It was found that 750 and 1000 focal length lenses are the most compatible for these types of lasers.
Comparison of simulated and real measurement provides an accurate prediction of laser caustic parameters:
Before lens |
M² X |
Fitted Divergence X |
Waist Width X |
Waist Location X |
Rayleigh Length X |
Simulation |
1.028 |
0.203 mrad |
4080 μm |
6100 mm |
20084 mm |
BSQ Measured results |
1.026 |
0.203 mrad |
4077 μm |
6103 mm |
20091 mm |
All BeamSquared lenses are subject to scrupulous tests to provide the most accurate instrument performance. However, for long Rayleigh range lasers, due to the increased focal length of the lenses, the precision of measurement becomes even more important as small errors can cause a significant offset of the results. Ophir have implemented a new BeamSquared® lenses calibration techniques to ensure the most accurate and repeatable Caustic and Beam Propagation measurements, with a maximum of 10% relative error in Rayleigh range and Waist Location, compared to >30% of uncalibrated lenses.
As demonstrated below, the Caustic measurement of a 633nm laser, having a 20-meter Rayleigh Length and M²=1.03, using a calibrated 750 mm lens, The BeamSquared provides the result of 147 μm Waist Width and 26 mm Rayleigh Length. The BeamSquared provides over 800 mm measurement range which makes it easy to make ISO11146 compliant measurements of well over 4 Rayleigh lengths.