DOI QR코드

DOI QR Code

Analysis of Major Error Factors in Coherent Beam Combination: Phase, Tip Tilt, Polarization Angle, and Beam Quality

  • Jeongkyun Na (Department of Electrical and Computer Engineering, Seoul National University) ;
  • Byungho Kim (Department of Electrical and Computer Engineering, Seoul National University) ;
  • Changsu Jun (Advanced Photonics Research Institute, Gwangju Institute of Science and Technology) ;
  • Yoonchan Jeong (Department of Electrical and Computer Engineering, Seoul National University)
  • Received : 2024.05.07
  • Accepted : 2024.06.27
  • Published : 2024.08.25

Abstract

The major error factors that degrade the efficiency of coherent beam combining (CBC) are numerically studied in a comprehensive manner, paying particular attention to phase, tip-tilt, polarization angle, and beam quality. The power in the bucket (PIB), normalized to the zero-error PIB, is used as a figure of merit to quantify the effect of each error factor. To maintain a normalized PIB greater than or equal to 95% in a 3-channel CBC configuration, the errors in phase, tip-tilt, and polarization angle should be less than 1.06 radians, 1.25 ㎛, and 1.06 radians respectively, when each of the three parameters is calculated independently with the other two set to zero. In a worst-case scenario of the composite errors within the parameter range for the independent-95%-normalized-PIB condition, the aggregate effect would reduce the normalized PIB to 83.8%. It is noteworthy that the PIB performances of a CBC system, depending on phase and polarization-angle errors, share the same characteristic feature. A statistical approach for each error factor is also introduced, to assess a CBC system with an extended number of channels. The impact of the laser's beam-quality factor M2 on the combining efficiency is also analyzed, based on a super-Gaussian beam. When M2 increases from 1 to 1.3, the normalized PIB is reduced by 2.6%, 11.8%, 12.8%, and 13.2% for a single-channel configuration and 3-, 7-, and 19-channel CBC configurations respectively. This comprehensive numerical study is expected to pave the way for advances in the evaluation and design of multichannel CBC systems and other related applications.

Keywords

Acknowledgement

Agency for Defense Development of South Korea (UD210019ID); the BK21 FOUR Project.

References

  1. M. A. Khalighi and M. Uysal, "Survey on free space optical communication: A communication theory perspective," IEEE Commun. Surv. Tutor. 16, 2231-2258 (2014).
  2. K. Jin and W. Zhou, "Wireless laser power transmission: A review of recent progress," IEEE Trans. Power Electron. 34, 3842-3859 (2018).
  3. B. Azadgoli and R. Y. Baker, "Laser applications in surgery," Ann. Transl. Med. 4, 452 (2016).
  4. W. Shi, Q. Fang, X. Zhu, R. A. Norwood, and N. Peyghambarian, "Fiber lasers and their applications," Appl. Opt. 53, 6554-6568 (2014).
  5. Y. Jeong, J. K. Sahu, D. N. Payne, and J. Nilsson, "Ytterbium-doped large-core fiber laser with 1.36 kW continuous-wave output power," Opt. Express 12, 6088-6092 (2004).
  6. M. N. Zervas and C. A. Codemard, "High power fiber lasers: A review," IEEE J. Sel. Top. Quantum Electron. 20, 219-241 (2014).
  7. E. Stiles, "New developments in IPG fiber laser technology," in Proc. 5th International Workshop on Fiber Lasers (Dresden, Germany. Sep. 30-Oct. 1, 2009).
  8. N. R. Van Zandt, S. J. Cusumano, R. J. Bartell, S. Basu, J. E. McCrae, and S. T. Fiorino, "Comparison of coherent and incoherent laser beam combination for tactical engagements," Opt. Eng. 51, 104301 (2012).
  9. C. Wirth, O. Schmidt, I. Tsybin, T. Schreiber, R. Eberhardt, J. Limpert, A. Tunnermann, K. Ludewigt, M. Gowin, E. ten Have, and M. Jung, "High average power spectral beam combining of four fiber amplifiers to 8.2 kW," Opt. Lett. 36, 3118-3120 (2011).
  10. T. M. Shay, "Theory of electronically phased coherent beam combination without a reference beam," Opt. Express 14, 12188-12195
  11. H. Chang, Q. Chang, J. Xi, T. Hou, R. Su, P. Ma, J. Wu, C. Li, M. Jiang, Y. Ma, and P. Zhou, "First experimental demonstration of coherent beam combining of more than 100 beams," Photonics Res. 8, 1943-1948 (2020).
  12. T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, "Experimental demonstration of coherent beam combining over a 7 km propagation path," Opt. Lett. 36, 4455-4457 (2011).
  13. B. Rouze, P. Pichon, M. Gay, L. Bramerie, L. Lombard, and A. Durecu, "Experimental study of the impact of carrying a telecom signal on LOCSET-based coherent beam combining," Opt. Express 31, 26552-26564 (2023).
  14. Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, "Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique," Opt. Lett. 36, 951-953 (2011).
  15. H. Kim and Y Jeong, "Covariance matrix adaptation evolution strategy based optical phase control," Electron. Lett. 57, 517-519 (2021).
  16. A. E. Siegman and S. W. Townsend, "Output beam propagation and beam quality from a multimode stable-cavity laser," IEEE J. Quantum Electron. 29, 1212-1217 (1993).
  17. P. Zhou, Z. Liu, X. Xu, Z. Chen, and X. Wang, "Beam quality factor for coherently combined fiber laser beams," Opt. Laser Technol. 41, 268-271 (2009).
  18. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, USA, 1996).
  19. M. Mayeh and F. Farahi, "Tailoring Gaussian laser beam shape through controlled etching of single-mode and multimode fibers: Simulation and experimental studies," IEEE Sens. J. 12, 168-173 (2012).
  20. M. A. Vorontsov and S. L. Lachinova, "Laser beam projection with adaptive array of fiber collimators. I. Basic considerations for analysis," J. Opt. Soc. Am. A 25, 1949-1959 (2008).
  21. D. Zhi, Z. Zhang, Y. Ma, X. Wang, Z. Chen, W. Wu, P. Zhou, and L. Si, "Realization of large energy proportion in the central lobe by coherent beam combination based on conformal projection system," Sci. Rep. 7, 2199 (2017).
  22. Y. Gao, B. Zhu, D. Liu, and Z. Lin, "Propagation of flattopped multi-Gaussian beams through a double-lens system with apertures," Opt. Express 17, 12753-12766 (2009).
  23. S. Saghafi, M. J. Withford, and Z. Ghoranneviss, "Characterizing flat-top laser beams using standard beam parameters," Can. J. Phys. 84, 223-240 (2006).