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Updated: Aug 13, 2026
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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Generation of an elliptic Bessel beam
Rijuparna Chakraborty1, Ajay Ghosh
1Department of Applied Optics and Photonics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata-700009, India.
Optics Letters
|January 20, 2006
Summary
Researchers developed a simpler method to create stable elliptic hollow beams, which are scaled Bessel beams. This technique offers a computationally efficient alternative to complex Mathieu beams for optical applications.
Area of Science:
- Optics and Photonics
- Beam Physics
Background:
- Diffraction-free beams, such as Mathieu beams, are essential in various optical applications but are computationally intensive.
- Existing methods for generating these beams often require significant computational resources and memory.
Purpose of the Study:
- To report a novel technique for generating elliptic hollow beams.
- To provide a computationally efficient alternative to Mathieu beams for creating diffraction-free beams.
Main Methods:
- The generation technique involves scaling higher-order Bessel beams.
- Analysis utilizes the relationship between spatial domain stretching and frequency domain contraction.
- Holographic production method is employed.
Main Results:
- Elliptic hollow beams are successfully generated as scaled versions of higher-order Bessel beams.
- The holographic production results in structurally stable beams.
- The beams maintain their shape over a distance of approximately 1 meter.
Conclusions:
- The reported technique offers a computationally efficient method for generating stable elliptic hollow beams.
- This approach provides a practical alternative to complex Mathieu beams for optical applications.
- The structural stability of the generated beams is experimentally validated.
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