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2026-06-20
Effect of Changing Polynomial Parameters of Vortex Laguerre Beam on Behavior of Symbol Error Rate
By
Progress In Electromagnetics Research C, Vol. 171, 245-254, 2026
Abstract
In optical communications, symbol error rate (SER) is a key indicator of system performance when data is transmitted over optical channels. Improving this rate is a major goal in the design of advanced optical systems, as many factors affect performance, including noise and optical impairments. One mathematical method proven effective for improving performance is the use of Laguerre polynomials. This study investigates the impact of variations in the polynomial parameters regarding Laguerre-Gaussian vortex beam (LGVB) on symbol error rate (SER) under weak, moderate, and strong turbulence conditions. The research uses numerical simulations to analyze the beam's intensity profiles and SER for various parameter combinations. Key findings show that specific parameter pairs yield superior SER performance, reducing error rates. The lowest SER under high turbulence is observed at (3,0) and (2,0) due to their spatially dispersed intensity profiles. Optimizing LGVB's polynomial parameters enhances SER robustness in turbulent FSO systems, offering a practical, non-hardware-based mitigation strategy. Simulation results for (n = 3, m = 0) show that the proposed beam configuration reduces SER to the minimum value compared to other Laguerre Gaussian Vortex beams with different values of radial index (n), and topological charge (m) under identical turbulence conditions (Cn2 = 10-12 m-2/3). This work provides actionable insights for designing turbulence-resilient optical links, particularly in satellite-to-ground and long-range terrestrial communications.
Citation
Ali Abdul Rahman Dheyab, Asmaa M. Aubaid, Ekhlas Kadhum Hamza, and Hamid Sh. Aldulaimi, "Effect of Changing Polynomial Parameters of Vortex Laguerre Beam on Behavior of Symbol Error Rate," Progress In Electromagnetics Research C, Vol. 171, 245-254, 2026.
doi:10.2528/PIERC25122002
References

1. Tyson, Robert K., "Using the deformable mirror as a spatial filter: Application to circular beams," Applied Optics, Vol. 21, No. 5, 787-793, 1982.
doi:10.1364/ao.21.000787        Google Scholar

2. Andrews, Larry C. and Ronald L. Phillips, Laser Beam Propagation through Random Media, 2nd Ed., SPIE Press, Bellingham, WA, 2005.
doi:10.1117/3.626196

3. Mackey, Ruth and Christopher Dainty, "Wavefront sensing and adaptive optics in strong turbulence," Opto-Ireland 2005: Photonic Engineering, Vol. 5827, 23-29, Dublin, Ireland, 2005.
doi:10.1117/12.605071

4. Schwartz, Noah H., Nicolas Védrenne, Vincent Michau, Marie-Thérèse Velluet, and Frédéric Chazallet, "Mitigation of atmospheric effects by adaptive optics for free-space optical communications," Atmospheric Propagation of Electromagnetic Waves III, Vol. 7200, 133-143, San Jose, California, United States, 2009.
doi:10.1117/12.808142

5. Stotts, Larry B., Paul Kolodzy, Alan Pike, Buzz Graves, Dave Dougherty, and Jeff Douglass, "Free-space optical communications link budget estimation," Applied Optics, Vol. 49, No. 28, 5333-5343, 2010.
doi:10.1364/ao.49.005333        Google Scholar

6. Sharma, Sanjay, "A simplified free-space adaptive optics system against atmospheric turbulence," International Journal of Electronics, Vol. 99, No. 3, 417-436, 2012.
doi:10.1080/00207217.2011.629222        Google Scholar

7. Li, Ming and Milorad Cvijetic, "Coherent free space optics communications over the maritime atmosphere with use of adaptive optics for beam wavefront correction," Applied Optics, Vol. 54, No. 6, 1453-1462, 2015.
doi:10.1364/ao.54.001453        Google Scholar

8. Sergeyev, Aleksandr V., Eugene Levin, and Michael C. Roggemann, "Wavefront sensor alignment and calibration techniques for laser communication systems," Cyber Sensing 2012, Vol. 8408, 242-250, Baltimore, Maryland, United States, 2012.
doi:10.1117/12.918124

9. Gregory, M., D. Troendle, G. Muehlnikel, F. Heine, R. Meyer, M. Lutzer, and R. Czichy, "Three years coherent space to ground links: Performance results and outlook for the optical ground station equipped with adaptive optics," Free-Space Laser Communication and Atmospheric Propagation XXV, Vol. 8610, 17-29, San Francisco, California, United States, 2013.
doi:10.1117/12.2022253

10. Nossir, N., L. Dalil-Essakali, and A. Belafhal, "Behavior of the central intensity of generalized Humbert-Gaussian beams against the atmospheric turbulence," Optical and Quantum Electronics, Vol. 53, No. 12, 665, 2021.
doi:10.1007/s11082-021-03316-w        Google Scholar

11. Hricha, Z., M. Lazrek, M. El Halba, and A. Belafhal, "Effect of a turbulent atmosphere on the propagation properties of partially coherent vortex cosine-hyperbolic-Gaussian beams," Optical and Quantum Electronics, Vol. 54, No. 11, 719, 2022.
doi:10.1007/s11082-022-04064-1        Google Scholar

12. Ebrahim, Ahmed Abdulrab Ali, Mohamed A. Swillam, and Abdelmajid Belafhal, "Atmospheric turbulent effects on the propagation properties of a general model vortex higher-order cosh-Gaussian beam," Optical and Quantum Electronics, Vol. 55, No. 4, 316, 2023.
doi:10.1007/s11082-023-04576-4        Google Scholar

13. Cheng, Wen, Joseph W. Haus, and Qiwen Zhan, "Propagation of scalar and vector vortex beams through turbulent atmosphere," Atmospheric Propagation of Electromagnetic Waves III, Vol. 7200, 22-31, San Jose, California, United States, 2009.
doi:10.1117/12.809138

14. Eyyuboğlu, H. T., Y. Baykal, and A. Falits, "Scintillation behavior of Laguerre Gaussian beams in strong turbulence," Applied Physics B, Vol. 104, No. 4, 1001-1006, 2011.
doi:10.1007/s00340-011-4588-y        Google Scholar

15. Wang, Yankun, Lu Bai, Jinyu Xie, Chao Huang, and Lixin Guo, "Radial spectrum spread of Laguerre-Gaussian beam transmission in weak compressible turbulence," Optics Communications, Vol. 554, 130111, 2024.
doi:10.1016/j.optcom.2023.130111        Google Scholar

16. Mourka, Areti, "Probing the modal characteristics of novel beam shapes," University of St Andrews, UK, 2013.

17. Plick, William N. and Mario Krenn, "Physical meaning of the radial index of Laguerre-Gauss beams," Physical Review A, Vol. 92, No. 6, 063841, 2015.
doi:10.1103/physreva.92.063841        Google Scholar

18. Johnston, Rachel A. and Richard G. Lane, "Modeling scintillation from an aperiodic Kolmogorov phase screen," Applied Optics, Vol. 39, No. 26, 4761-4769, 2000.
doi:10.1364/ao.39.004761        Google Scholar

19. Belmonte, Aniceto, "Feasibility study for the simulation of beam propagation: Consideration of coherent lidar performance," Applied Optics, Vol. 39, No. 30, 5426-5445, 2000.
doi:10.1364/ao.39.005426        Google Scholar

20. Schmidt, J. D., Numerical Simulation of Optical Wave Propagation with Examples in MATLAB, SPIE Press, Bellingham, 2010.

21. Voelz, D., Computational Fourier Optics: A MATLAB Tutorial, SPIE Press, Washington, 2011.

22. Pranitha, B. and L. Anjaneyulu, "Performance evaluation of a MIMO based underwater communication system under fading conditions," Engineering, Technology & Applied Science Research, Vol. 9, No. 6, 4886-4892, Dec. 2019.
doi:10.48084/etasr.3132        Google Scholar

23. Eyadeh, A. A. and M. N. Al-Ta'ani, "Performance study of wireless systems with switch and stay combining diversity over α-η-μ fading channels," Engineering, Technology & Applied Science Research, Vol. 9, No. 6, 5047-5055, Dec. 2019.
doi:10.48084/etasr.3100        Google Scholar

24. Martinelli, Mario and Paolo Martinelli, "Laguerre mathematics in optical communications," Optics and Photonics News, Vol. 19, No. 2, 30-35, 2008.
doi:10.1364/opn.19.2.000030        Google Scholar

25. Yang, Pengfei, Weina Pang, Shuang Li, Ping Wang, Wenwen Chen, and Hui Che, "SER performance investigation of UWOC system over composite EGG oceanic turbulence fading channel with BSF," Optoelectronics Letters, Vol. 18, No. 10, 606-612, 2022.
doi:10.1007/s11801-022-2031-8        Google Scholar