Related Experiment Video
Updated: Apr 15, 2026

12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
22.7K
Digital generation of shape-invariant Bessel-like beams
Optics Express
|April 4, 2015
Summary
Researchers developed a novel method to generate shape-invariant Bessel-like beams using a single phase-only element. This technique extends the quasi non-diffracting propagation range for Bessel beams, offering practical applications in various fields.
Area of Science:
- Optics and Photonics
- Laser Physics
Background:
- Bessel beams are known for their non-diffracting properties but are typically confined to limited propagation distances.
- Existing methods to extend Bessel beam propagation often involve complex multi-element refractive systems.
Purpose of the Study:
- To introduce a generalized, simplified approach for creating shape-invariant Bessel-like beams.
- To experimentally validate a method using a single phase-only element for extended Bessel beam generation.
Main Methods:
- A generalized theoretical framework was developed for designing phase-only elements.
- Experimental demonstration was performed using a phase-only spatial light modulator to generate the proposed Bessel-like beams.
Main Results:
- The single phase-only element successfully generated shape-invariant Bessel-like beams.
- Experimental results closely matched theoretical predictions, confirming the efficacy of the approach.
Conclusions:
- This study presents an easy-to-implement method for generating long-range, shape-invariant Bessel-like beams.
- The single-element approach offers a significant advancement over complex refractive systems for Bessel beam generation.
Related Concept Videos
Deflection of a Beam
920
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
920
Singularity Functions for Bending Moment
671
Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented using a...
671
Design of Prismatic Beams for Bending
683
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...
683
Deformation of a Beam under Transverse Loading
924
Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
The insights from the bending moment diagram extend to...
924
Beams with Symmetric Loadings
504
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
The M/EI...
504
Beams with Unsymmetric Loadings
504
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
504

