Quantifying the paraxiality for laser beams from the M2 factor.

Area of Science:

• Optical physics
• Laser beam characterization

Background:

• The paraxial estimator is a metric for analyzing laser beams.
• Quantifying beam quality often involves the M2 factor and beam spot size.
• Real-world laser beams may not have simple mathematical profiles.

Purpose of the Study:

• To derive a relationship between the paraxial estimator and key beam quality parameters (M2 factor, beam spot size).
• To extend the applicability of the paraxial estimator to real laser beams.
• To enable quantification of paraxiality from standard laser measurements.

Main Methods:

• Derivation of a mathematical relationship.
• Utilizing standard optical measurements.
• Analysis of monochromatic laser beams.

Main Results:

• A useful relationship was established between the paraxial estimator, M2 factor, and beam spot size.
• The derived relationship allows for the quantification of paraxiality in real laser beams.
• This method is applicable even when beam profiles lack a closed-form representation.

Conclusions:

• The paraxial estimator can be reliably applied to real laser beams.
• The derived relationship enhances the analysis of laser beam quality.
• The paraxial estimator shows potential as a tool for in-depth laser beam analysis.