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Updated: May 16, 2026

Constructing a Low-budget Laser Axotomy System to Study Axon Regeneration in C. elegans

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Published on: November 15, 2011

Nonparaxial Mathieu and Weber accelerating beams.

Peng Zhang¹, Yi Hu, Tongcang Li

¹NSF Nanoscale Science and Engineering Center, 3112 Etcheverry Hall, University of California, Berkeley, California 94720, USA.

Physical Review Letters

|December 11, 2012

Summary

This summary is machine-generated.

We demonstrate novel nonparaxial Mathieu and Weber accelerating beams that bend along various trajectories while maintaining their nondiffracting and self-healing properties. This generalization has broad applications in wave physics and beam engineering.

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Area of Science:

Optics and Photonics
Wave Physics

Background:

Accelerating beams are optical beams that can propagate without diffraction.
Previous research focused primarily on paraxial accelerating beams.

Purpose of the Study:

To theoretically and experimentally demonstrate generalized nonparaxial Mathieu and Weber accelerating beams.
To explore their unique trajectory-bending and self-healing properties.

Main Methods:

Theoretical modeling of nonparaxial beam propagation.
Experimental generation and characterization of the beams.

Main Results:

Demonstrated nonparaxial Mathieu and Weber beams that bend along circular, elliptical, or parabolic paths.
Confirmed the beams' nondiffracting and self-healing characteristics.
Established Airy beams as a paraxial limit of Weber beams.

Conclusions:

Generalized nonparaxial accelerating beams offer advanced beam engineering possibilities.
The underlying concepts are applicable to diverse linear wave systems, including electromagnetic, elastic, and matter waves.