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Updated: May 10, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Synthesising a Fixed-Length Equispaced Linear Array to Produce Dolph-Chebyshev Patterns with Deep Nulls, a Desired
Ibai Otero-Gómez1, María Elena López-Martín2, Juan Antonio Rodríguez-González1
1Department of Applied Physics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain.
This study presents a novel antenna array synthesis method extending the Orchard-Elliott-Stern technique. The method achieves reduced side lobes and adaptable beamwidths for wireless communications.
Area of Science:
- Electrical Engineering
- Electromagnetics
- Antenna Theory
Background:
- Antenna array synthesis is crucial for directing radio waves.
- Existing methods like Orchard-Elliott-Stern have limitations in controlling radiation patterns.
- Achieving low side lobe levels (SLL) and adaptive beamwidth is essential for modern wireless systems.
Purpose of the Study:
- To present an extended Orchard-Elliott-Stern technique for antenna array synthesis.
- To explore radiation patterns with specific root configurations on the Shelkunoff unit circle.
- To enable the design of antenna arrays with reduced side lobes and controllable beamwidths.
Main Methods:
- Extension of the Orchard-Elliott-Stern technique.
- Utilizing three roots on the negative real axis of the Shelkunoff unit circle (one on, two off at r and 1/r).
- Application to Dolph-Chebyshev patterns with varying element numbers (10, 18, 40) and λ/2 spacing.
Main Results:
- The method allows multiple solutions for a desired SLL by varying 'r', yielding different amplitude ratios.
- Resulting radiation patterns exhibit two fewer side lobes compared to conventional methods.
- Demonstrated applicability across various array sizes, from small to large.
Conclusions:
- The presented technique offers a flexible approach to antenna array synthesis.
- It effectively reduces side lobes and provides control over beamwidth and directivity.
- Findings are directly applicable to wireless communications requiring low SLL and adaptive beamwidth patterns.
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