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Updated: Jan 17, 2026
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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
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The phase-only generation of self-accelerating Weber beams.
Boyuan Tang1, Xuemei Ren1, Yubo Shi1
1Institute of Acoustics, Tongji University, Shanghai 200092, China.
Ultrasonics
|September 19, 2025
Summary
Researchers developed a simplified method to generate self-accelerating Weber beams, which are non-diffracting beams with parabolic trajectories. This advancement enhances their practical applications in various scientific fields.
Area of Science:
- Optics and Photonics
- Mathematical Physics
Background:
- Non-diffracting beams maintain their intensity profile during propagation.
- Weber beams, solutions to the Helmholtz equation in parabolic coordinates, are non-diffracting and exhibit parabolic trajectories.
Purpose of the Study:
- To propose a simplified, single-beam, phase-only method for directly generating self-accelerating Weber beams.
- To enhance the practical versatility and applicability of Weber beams.
Main Methods:
- Derived a simplified approximation of the Weber beam's initial phase profile from the asymptotic solution of the Weber equation.
- Verified the approximation's validity through numerical simulations.
- Demonstrated the beam's intensity distribution using Schlieren imaging.
Main Results:
- Successfully generated self-accelerating Weber beams using a simplified phase-only method.
- Validated the simplified phase profile approximation.
- Observed the characteristic parabolic trajectory and intensity distribution of the generated beams.
- Revealed unique physical properties and adaptable emission angles for Weber beams.
Conclusions:
- The proposed method significantly simplifies Weber beam generation, removing the need for complex calculations.
- The ability to adapt emission angles enhances the practical versatility of Weber beams for diverse applications.
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