Adaptive Polynomial Chaos Expansion for Uncertainty Quantification and Optimization of Horn Antennas at SubTHz Frequencies (2404.04542v1)
Abstract: Sub-terahertz (subTHz) antennas will play an important role in the next generations of wireless communication systems. However, when comes to the subTHz frequency spectrum, the antenna fabrication tolerance needs to be accurately considered during the design stage. The classic approach to studying the average performance of an antenna design considering fabrication tolerances is through the use of the Monte-Carlo (MC) method. In this paper, we propose an adaptive polynomial chaos expansion (PCE) method for the uncertainty quantification analysis of subTHz horn antennas with flat-top radiation patterns. The proposed method builds a surrogate model of the antenna's response to electromagnetic (EM) excitation and estimates its statistical moments with accuracy close to the reference MC method, but with a much smaller computational complexity of roughly two orders of magnitude. Moreover, the surrogate model based on PCE can substitute full-wave EM solvers in producing samples for electromagnetic quantities of interest, resulting in significant computational efficiency gains during optimization tasks. To this end, we successfully combined PCE with the particle swarm optimization method to design the free parameters of a horn antenna at $95$ GHz for a flat-top gain.
- A. D. Papadopoulos, Y. Ma, Q. Luo, and G. C. Alexandropoulos, “Adaptive polynomial chaos expansion for uncertainty quantification of subTHz horn antennas with flat-top radiation patterns,” in Proc. European Conf. Antennas Prop., Glasgow, Scotland, Mar. 2024.
- G. Lu, J. Wang, Z. Xie, and J. T. W. Yeow, “Carbon-based THz microstrip antenna design: A review,” IEEE Open J. Nanotechnol., vol. 3, pp. 15–23, Dec. 2022.
- D. A. Montofré, R. Molina, A. Khudchenko, R. Hesper, A. M. Baryshev, N. Reyes, and F. P. Mena, “High-performance smooth-walled horn antennas for THz frequency range: Design and evaluation,” IEEE Trans. Terahertz Sci. Technol., vol. 2, no. 6, pp. 587–597, Nov. 2019.
- Z.-C. Hao, J. Wang, Q. Yuan, and W. Hong, “Development of a low-cost THz metallic lens antenna,” IEEE Antennas Wireless Propag. Lett., vol. 16, pp. 1751–1754, Feb. 2017.
- G. C. Alexandropoulos, A. Clemente, S. Matos, R. Husbands, S. Ahearne, Q. Luo, V. Lain-Rubio, T. Kürner, and L. M. Pessoa, “Reconfigurable intelligent surfaces for THz: Signal processing and hardware design challenges,” in Proc. European Conf. Antennas Prop., Glasgow, Scotland, Mar. 2024.
- H. Yang, Y. Dhayalan, X. Shang, M. J. Lancaster, B. Liu, H. Wang, M. Henry, and P. G. Huggard, “WR-3 waveguide bandpass filters fabricated using high precision CNC machining and SU-8 photoresist technology,” IEEE Trans. Terahertz Sci. Technol., vol. 8, no. 1, pp. 100–107, Jan. 2018.
- D. Gamzina, L. G. Himes, R. Barchfeld, Y. Zheng, B. K. Popovic, C. Paoloni, E. Choi, and N. C. Luhmann, “Nano-CNC machining of sub-THz vacuum electron devices,” IEEE Trans. Electron Devices, vol. 63, no. 10, Oct. 2016.
- Y. Yu, Y. Wang, T. Skaik, T. Starke, X. Shang, M. J. Lancaster, P. Hunyor, P. G. Huggard, H. Wang, M. Harris, M. Beardsley, and Q. S. Cheng, “D-band waveguide diplexer fabricated using micro laser sintering,” IEEE Trans. Compon., Packag. Manuf. Technol., vol. 12, no. 9, pp. 1446–1457, Sep. 2022.
- X. Li, D. Gamzina, R. Letizia, M. Gonzales, Y. Tang, Y. Zheng, B. Popovic, L. Himes, R. Barchfeld, H. Li, P. Pan, J. Feng, C. Paoloni, and N. C. Luhmann, “Effect of fabrication tolerance on 0.346 THz double corrugated waveguide for backward wave oscillators,” in Proc. IEEE Int. Vacuum Electron. Conf. (IVEC), Monterey, USA, 2018, pp. 335–336.
- D. Xiu and G. E. Karniadakis, “The Wiener-Askey polynomial chaos for stochastic differential equations,” SIAM J. Sci. Comp., vol. 24, no. 2, p. 619–644, 2002.
- J. A. Tropp and A. C. Gilbert, “Signal recovery from random measurements via orthogonal matching pursuit,” IEEE Trans. Inf. Theory, vol. 53, no. 12, pp. 4655–4666, Dec. 2007.
- A. D. Papadopoulos, T. Zygiridis, Y. Kopsinis, and E. N. Glytsis, “An anisotropic sparse adaptive polynomial chaos method for the uncertainty quantification of resonant gratings-performance,” J. Light. Technol., vol. 40, no. 12, pp. 3640–3646, Jun. 2022.
- F. Boeykens, H. Rogier, and L. Vallozzi, “An efficient technique based on polynomial chaos to model the uncertainty in the resonance frequency of textile antennas due to bending,” IEEE Transactions on Antennas and Propagation, vol. 62, no. 3, pp. 1253–1260, 2014.
- R. Wilke, J. Slim, W. Alshrafi, and D. Heberling, “Polynomial chaos expansion as a tool to quantify the performance of the gereleo-smart satellite antenna under uncertainty,” in 2017 International Symposium on Antennas and Propagation (ISAP), 2017, pp. 1–2.
- D. Klink and P. Meyer, “Polynomial chaos yield analysis of quad-mode antennas,” in Proc. European Conf. Antennas Prop., 2021, pp. 1–5.
- J. Zhang, J. Xu, Q. Chen, and H. Li, “Machine-learning-assisted antenna optimization with data augmentation,” IEEE Antennas and Wireless Propagation Letters, vol. 22, no. 8, pp. 1932–1936, 2023.
- Y. Liu, B. Liu, M. Ur-Rehman, M. A. Imran, M. O. Akinsolu, P. Excell, and Q. Hua, “An efficient method for antenna design based on a self-adaptive bayesian neural network-assisted global optimization technique,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 12, pp. 11 375–11 388, 2022.
- J. Kennedy and R. Eberhart, “Particle swarm optimization,” in Proceedings of ICNN’95 - International Conference on Neural Networks, vol. 4, 1995, pp. 1942–1948 vol.4.
- G. Blatman and B. Sudret, “Anisotropic parsimonious polynomial chaos expansions based on the sparsity-of-effects principle,” in Proc. Int. Conf. Structural Safety Rel. (ICOSSAR), Osaka, Japan, 2009.
- T. Crestaux, O. L. Maitre, and J.-M. Martinez, “Polynomial chaos expansion for sensitivity analysis,” Reliab. Eng. Syst. Saf., vol. 94, no. 7, pp. 1161–1172, Jul. 2009.
- G. Blatman, “Adaptive sparse polynomial chaos expansions for uncertainty propagation and sensitivity analysis,” Universite BLAISE PASCAL - Clermont II, Ph.D Thesis, 2009.
- O. Chapelle, V. Vapnik, and Y. Bengio, “Model selection for small sample regression,” Machine Learning, vol. 48, no. 1, pp. 9–23, 2002.
- E. Candès, M. Wakin, and S. Boyd, “Enhancing sparsity by reweighted l1 minimization,” J. Fourier Anal. Appl, vol. 14, no. 5, pp. 877–905, 2008.
- M. A. Moharram and A. A. Kishk, “Optimum feeds for reflectarray antenna: Synthesis and design,” IEEE Trans. Antennas Prop., vol. 64, no. 2, pp. 469–483, 2016.
- J. Wang, Y. Yao, J. Yu, and X. Chen, “Broadband compact smooth horn with flat-top radiation pattern,” Electron. Lett., vol. 55, no. 3, pp. 119–120, Feb. 2019.
- E. Basar, G. C. Alexandropoulos, Y. Liu, Q. Wu, S. Jin, C. Yuen, O. Dobre, and R. Schober, “Reconfigurable intelligent surfaces for 6G: Emerging applications and open challenges,” arXiv preprint arXiv:2312.16874, 2023.