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The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and stress...

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Related Experiment Video

Updated: Jul 7, 2026

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Improved standard beams with application to reverse radiation pressure.

H Polaert, G Gréhan, G Gouesbet

|February 15, 2008

Summary

A new standard beam description for Gaussian beams offers infinite convergence, overcoming limitations of previous models. This enhanced approach accurately calculates radiation pressure forces even under extreme focusing conditions.

Area of Science:

Optics and Photonics
Electromagnetism

Background:

A standard beam description for Gaussian beams was previously introduced.
This description was found to have a finite radius of convergence, limiting its applicability.
This limitation is significant for applications involving highly focused beams.

Purpose of the Study:

To introduce an improved standard beam description for Gaussian beams.
To address the limitation of finite convergence in existing models.
To demonstrate the utility of the improved description in evaluating radiation pressure forces.

Main Methods:

Development of a novel mathematical framework for Gaussian beam description.
Theoretical analysis of beam convergence properties.
Application of the improved description to calculate radiation pressure forces.

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

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Last Updated: Jul 7, 2026

Blast Quantification Using Hopkinson Pressure Bars

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Published on: July 5, 2016

Conducting Elevated Temperature Normal and Combined Pressure-Shear Plate Impact Experiments Via a Breech-end Sabot Heater System

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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

Main Results:

An improved standard beam description with an infinite radius of convergence was successfully developed.
The new description overcomes the limitations of previous models.
The utility was demonstrated through the evaluation of radiation pressure forces under severe focusing.

Conclusions:

The improved standard beam description provides a more universally applicable model for Gaussian beams.
This advancement is crucial for accurate analysis in scenarios with strong focusing.
The enhanced model facilitates more precise calculations of optical forces.