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Updated: Jul 8, 2026
12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Focusing of spherical Gaussian beams.
1Stanford University, Mechanical Engineering Department, High Temperature Gasdynamics Laboratory, Stanford, California 94305, USA.
Applied Optics
|March 1, 1983
Summary
This study introduces simple formulas for tracking spherical Gaussian beams through optical systems. These methods are similar to geometrical optics techniques for image tracing.
Area of Science:
- Optics
- Photonics
- Beam Propagation
Background:
- Gaussian beams are fundamental in laser optics and optical systems.
- Tracing beam characteristics through multiple optical elements is complex.
- Existing methods may not be universally applicable or simple.
Purpose of the Study:
- To develop simplified procedures for analyzing spherical Gaussian beam propagation.
- To provide formulas analogous to geometrical optics for beam tracing.
- To facilitate the design and analysis of optical systems with Gaussian beams.
Main Methods:
- Development of analytical formulas for Gaussian beam parameters.
- Application of matrix methods for sequential optical elements.
- Analogy drawn from geometrical optics image tracing techniques.
Main Results:
- Formulas enable straightforward tracing of spherical Gaussian beam properties.
- The procedure simplifies the analysis of complex optical trains.
- Effective calculation of beam parameters like waist and divergence is achieved.
Conclusions:
- The presented procedures offer an accessible method for Gaussian beam analysis.
- These formulas can be integrated into optical design software.
- Simplified beam tracing enhances understanding and efficiency in optical engineering.
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