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Related Experiment Video

Updated: Jul 8, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Gaussian beam ray-equivalent modeling and optical design.

R Herloski¹, S Marshall, R Antos

¹Xerox Corporation, Joseph C. Wilson Center for Technology, Webster, New York, 14580, USA.

|April 15, 1983

Summary

This study simplifies Gaussian beam transformation modeling using paraxial ray heights and slopes. These new equations aid in designing and optimizing optical systems with Gaussian beams.

Area of Science:

Optics
Optical Engineering
Laser Physics

Background:

Gaussian beams are fundamental in laser optics and optical system design.
Modeling beam propagation and transformation is crucial for system performance.
Existing methods can be complex for astigmatic beams.

Purpose of the Study:

To develop simplified equations for modeling astigmatic Gaussian beam propagation.
To integrate these equations into optical design software for optimization.
To demonstrate the utility of the new method with design examples.

Main Methods:

Derivation of simplified equations from the ABCD law of Gaussian beam transformation.
Utilizing paraxial ray heights and slopes as the sole terms in the equations.

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Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

Published on: July 25, 2025

Related Experiment Videos

Last Updated: Jul 8, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

Published on: July 25, 2025

Application within a conventional automatic optical design program (CODE-V).

Main Results:

Successfully modeled astigmatic Gaussian beam propagation and transformation.
Developed simple, effective equations based on ray parameters.
Demonstrated practical application in optical system design and optimization.

Conclusions:

The proposed method offers a simplified approach to designing Gaussian beam optical systems.
The equations are compatible with standard optical design software.
This facilitates efficient optimization of systems involving astigmatic Gaussian beams.