Pattern Reconstruction for Antennas with Characteristic Mode Analysis and Surrogate Model

Authors

  • Adem Yilmaz 1) Department of Electrical and Electronics Engineering, KTO Karatay University, Konya, Turkey 2) Department of Electrical and Electronics Engineering, Ankara Yildirim Beyazit University, Ankara, Turkey
  • Hulusi Acikgoz Department of Electrical and Electronics Engineering, KTO Karatay University, Konya, Turkey
  • Alaa E. El-Rouby Department of Electrical and Electronics Engineering, Ankara Yildirim Beyazit University, Ankara, Turkey

DOI:

https://doi.org/10.13052/2022.ACES.J.370303

Keywords:

Bayesian inference, characteristic mode analysis, pattern synthesis, polynomial chaos expansion

Abstract

A novel approach is applied to obtain a desired pattern for a perfect electric plate with two ports. The location of ports is decided with the help of characteristic mode analysis. Two capacitive coupling elements are chosen to be used as excitation. The magnitude and phase of each excitation are obtained by the Bayesian inference method. In order to avoid complexity of computational design, a surrogate model, which is based on polynomial chaos expansion, is built. The surrogate model is ensured to mimic the computational model over 90%. Then, the desired pattern is compared with the synthesized one, and it is seen that the two patterns fit very well to each other and the correlation between the two patterns is above 0.9.

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Author Biographies

Adem Yilmaz, 1) Department of Electrical and Electronics Engineering, KTO Karatay University, Konya, Turkey 2) Department of Electrical and Electronics Engineering, Ankara Yildirim Beyazit University, Ankara, Turkey

Adem Yilmaz received the B.S. and M.S. degrees in electrical and electronics engineering from the University of Gaziantep and Ankara Yildirim Beyazit University, respectively. He is currently working toward the Ph.D. degree with Ankara Yildirim Beyazit University, Turkey.

From 2010 to 2011, he was a Researcher with Goethe Frankfurt University, Germany. Since 2011, he has been a Research Assistant with KTO Karatay University. His research interests include computational electromagnetics, the theory of characteristic modes, and design and characterization of periodic structures.

Hulusi Acikgoz, Department of Electrical and Electronics Engineering, KTO Karatay University, Konya, Turkey

Hulusi Acikgoz received the B.S. and master’s degrees in applied physics from Marne-La-Vallée University, France, and the Ph.D. degree in electrical engineering from Pierre and Marie Curie University, Paris, France, in 2008.

He has been a Teaching Assistant with UPMC-Paris IV from 2009 to 2010. After a year of post-doctoral research at L2E (Laboratoire d’Electronique et d’Electromagn Supétisme) in computational electromagnetic dosimetry, he joined KTO Karatay University, Konya, Turkey, in 2011, as an Associate Professor. His research interests include microwave characterization of dielectric materials, electromagnetic dosimetry, homogenization, antennas for microwave cancer ablation, high impedance surfaces, graphene applications in EM, and statistical analysis of EM structures.

Alaa E. El-Rouby, Department of Electrical and Electronics Engineering, Ankara Yildirim Beyazit University, Ankara, Turkey

Alaa E. El-Rouby received the B.Sc. and M.Sc. degrees from Cairo University, Egypt, in 1993 and 1996, respectively, and the Ph.D. degree from the University of Michigan, Ann Arbor, MI, USA, in 2000, all in electrical engineering.

He started his academic career as an Assistant Professor, and he was then an Associate

Professor with Cairo University till 2014. He then moved to Yildirim Beyazit University, where he is currently a Professor. Dr. Elrouby had a strong connection with semiconductor industry through working for Intel Corp. and then for Mentor Graphics for over 14 years. Since 2015, he has been working as a consultant for RF/MW, antenna, GNSS, PCB, and signal and power integrity, which are his current research interestsas well.

References

D. W. Boeringer and D. H. Werner, “Particle swarm optimization versus genetic algorithms for phased array synthesis,” IEEE Trans. Antennas Propag., vol. 52, no. 3, 2004.

K. K. Yan and Y. Lu, “Sidelobe reduction in array-pattern synthesis using genetic algorithm,” IEEE IEEE Trans. Antennas Propag., vol. 45, no. 7, 1997.

H. Lebret and S. Boyd, “Antenna array pattern synthesis via convex optimization,” IEEE Trans. Signal Process., vol. 45, no. 3, 1997.

A. Foudazi and A. R. Mallahzadeh, “Pattern synthesis for multi-feed reflector antennas using invasive weed optimisation,” IET Microw. Antennas Propag., vol. 6, no. 14, 2012.

J. L. Gomez-Tornero, A. J. Martinez-Ros, and R. Verdu-Monedero, “FFT synthesis of radiation patterns with wide nulls using tapered leaky-wave antennas,” IEEE Antennas Wirel. Propag. Lett., vol. 9, 2010.

M. A. Moharram and A. A. Kishk, “Optimum feeds for reflectarray antenna: synthesis and design,” IEEE Trans. Antennas Propag., vol. 64, no. 2, 2016.

R. Garbacz and R. Turpin, “A generalized expansion for radiated and scattered fields,” IEEE Trans. Antennas Propag., vol. 19, no. 3, pp. 348-358, 1971.

R. F. Harrington and J. R. Mautz, “Theory of characteristic modes for conducting bodies,” IEEE Trans. Antennas Propag., vol. 19, no. 5, pp. 622-628, 1971.

R. Harrington and J. Mautz, “Computation of characteristic modes for conducting bodies,” IEEE Trans. Antennas Propag., vol. 19, no. 5, pp. 629-639, 1971.

A. Araghi and G. Dadashzadeh, “Detail-oriented design of a dual-mode antenna with orthogonal radiation patterns utilizing theory of characteristic modes,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 28, no. 10, pp. 952-959, 2013.

N. Michishita and H. Morishita, “Helmet antenna design using characteristic mode analysis,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 35, no. 2, pp. 161-166, 2020.

E. Safin and D. Manteuffel, “Reconstruction of the characteristic modes on an antenna based on the radiated far field,” IEEE Trans. Antennas Propag., vol. 61, no. 6, pp. 2964-2971, 2013.

R. Valkonen, A. Lehtovuori, and D. Manteuffel, “Capacitive coupling elements - Changing the way of designing antennas,” in The 8th European Conference on Antennas and Propagation (EuCAP 2014), no. EuCAP, pp. 229-233, Apr. 2014.

D. Manteuffel and R. Martens, “Systematic design method of a mobile multiple antenna system using the theory of characteristic modes,” IET Microw., Antennas Propag., vol. 8, no. 12, pp. 887-893, 2014.

Y. Chen and C.-F. Wang, “HF band shipboard antenna design using characteristic modes,” IEEE Trans. Antennas Propag., vol. 63, no. 3, pp. 1004-1013, 2015.

Z. Liang, J. Ouyang, F. Yang, and L. Zhou, “Design of license plate rfid tag antenna using characteristic mode pattern synthesis,” IEEE Trans. Antennas Propag., vol. 65, no. 10, pp. 4964-4970, 2017.

F. A. Dicandia, S. Genovesi, and A. Monorchio, “Null-steering antenna design using phase-shifted characteristic modes,” IEEE Trans. Antennas Propag., vol. 64, no. 7, pp. 2698-2706, 2016.

F. A. Dicandia, S. Genovesi, and A. Monorchio, “Advantageous exploitation of characteristic modes analysis for the design of 3-D null-scanning antennas,” IEEE Trans. Antennas Propag., vol. 65, no. 8, pp. 3924-3934, 2017.

H. Li, S. Sun, W. Li, M. Wu, and C. Zhou, “Systematic pattern synthesis for single antennas using characteristic mode analysis,” IEEE Trans. Antennas Propag., vol. 68, no. 7, pp. 5199-5208, 2020.

C. Y. Chan and P. M. Goggans, “Using Bayesian inference for linear antenna array design,” IEEE Trans. Antennas Propag., vol. 59, no. 9, 2011.

C. Y. Chan and P. M. Goggans, “Multiobjective design of linear antenna arrays using bayesian inference framework,” IEEE Trans. Antennas Propag., vol. 62, no. 11, 2014.

A. Gelman, J. B. Carlin, H. S. Stern, D. B. Dunson, A. Vehtari, and D. B. Rubin, Bayesian Data Analysis, Third Edition, 2013.

G. C. Christian P. Robert, Monte Carlo Statistical Methods - 2nd Edition, vol. 109, no. 1, 2004.

R. W. Blanning, “The construction and implementation of metamodels,” SIMULATION, vol. 24, no. 6, pp. 177-184, 1975.

B. Sudret, “Uncertainty propagation and sensitivity analysis in mechanical models – Contributions to structural reliability and stochastic spectral methods,” Habilitation à diriger des recherches, Université Blaise Pascal, Clermont-Ferrand, France , 2007.

B. Sudret, “Global sensitivity analysis using polynomial chaos expansions,” Reliab. Eng. Sys. Safety, vol. 93, no. 7, pp. 946-979, 2008.

K. Sepahvand, S. Marburg, and H. J. Hardtke, “Uncertainty quantification in stochastic systems using polynomial chaos expansion,” Int. J. Appl. Mech., vol. 2, no. 2, 2010.

P. Kersaudy, S. Mostarshedi, B. Sudret, O. Picon, and J. Wiart, “Stochastic analysis of scattered field by building facades using polynomial chaos,” IEEE Trans. Antennas Propag., vol. 62, no. 12, 2014.

D. J. C. MacKay, “Bayesian methods for adaptive models,” Computation and Neural Systems, California Institute of Technology, Pasadena, CA, 1991.

J. P. C. Kleijnen, “Kriging metamodeling in simulation: A review,” Eur. J. Oper. Res., vol. 192, no. 3. 2009.

X. Zhang, R. Srinivasan, and M. van Liew, “Approximating SWAT model using artificial neural network and support vector machine,” J. Am. Water Resour. Assoc., vol. 45, no. 2, 2009.

Z. Liu, D. Lesselier, B. Sudret, and J. Wiart, “Surrogate modeling based on resampled polynomial chaos expansions,” Reliab. Eng. Sys. Safety, vol. 202, p. 107008, Oct. 2020.

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 Trans. Antennas Propag., vol. 62, no. 3, 2014.

H. Acikgoz and R. Mittra, “Stochastic polynomial chaos expansion analysis of a split-ring resonator at terahertz frequencies,” IEEE Trans. Antennas Propag., vol. 66, no. 4, 2018.

C. Chauvière, J. S. Hesthaven, and L. Lurati, “Computational modeling of uncertainty in time-domain electromagnetics,” SIAM J. Sci. Comput., vol. 28, no. 2, 2006.

H. Acikgoz, R. K. Arya, and R. Mittra, “Statistical analysis of 3D-printed flat GRIN lenses,” in 2016 IEEE International Symposium on Antennas and Propagation (APSURSI), pp. 473-474, Jun. 2016.

H. Acikgoz, R. K. Arya, J. Wiart, and R. Mittra, “Statistical electromagnetics for antennas,” in Developments in Antenna Analysis and Design: Volume 2, Institution of Engineering and Technology, pp. 259-286, 2018.

S. Marelli and B. Sudret, “UQLab user manual – Polynomial chaos expansions,” 2019.

P.-R. Wagner, J. Nagel, S. Marelli, and B. Sudret, “UQLab user manual – Bayesian inversion for model calibration and validation,” ETH Zurich, 2021.

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Published

2022-03-31

How to Cite

[1]
A. . Yilmaz, H. . Acikgoz, and A. E. . El-Rouby, “Pattern Reconstruction for Antennas with Characteristic Mode Analysis and Surrogate Model”, ACES Journal, vol. 37, no. 03, pp. 273–280, Mar. 2022.