Application of Ground-Clump Method to Verification of Half-Space Dyadic Green’s Matrices

作者

  • Nikola Basta Department of General Electrical Engineering University of Belgrade – School of Electrical Engineering, Belgrade 11120, Serbia
  • Branko Kolundžija Department of General Electrical Engineering University of Belgrade – School of Electrical Engineering, Belgrade 11120, Serbia, WIPL-D d.o.o. Belgrade 11070, Serbia

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https://doi.org/10.13052/2025.ACES.J.401003

关键词:

Dyadic Green’s matrix, Hertzian dipole, method of moments, Sommerfeld integrals, surface integral equation

摘要

A simple, robust, and easy-to-implement method is considered for verification of homogenous half-space dyadic Green’s matrices (DGMs) that relate electric and magnetic fields to elementary current sources placed near an infinite ground plane. The DGMs, as a rule, are calculated using either the Sommerfeld integrals or their approximations. The verification is based on an alternative method for evaluation of DGMs, in which elementary current sources are modeled by electrically small antennas and the infinite ground plane is modeled by a finite-sized piece of ground, i.e. the ground clump. The method is demonstrated by using a typical 3-D EM solver based on the method-of-moments (MoM) solution of surface integral equations (SIEs). The single-antenna scenario is proved effective for obtaining results with controllable accuracy, with relative error going from 10-2 to 10-5, which is demonstrated for ground clumps up to 20λ in diameter. A set of three electric and three magnetic dipoles is recommended for fast verification of DGMs.

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Nikola Basta was born in 1983 in Belgrade, Serbia. In 2008 he received the Dipl. Ing. degree from the School of Electrical Engineering, University of Belgrade, with a major in tele-communications. After graduation, he joined the Antenna Group at the Institute of Communications and Navigation of the German Aerospace Center (DLR), where he worked until 2014 on design and characterization of smart antennas and RF systems for GNSS application, as well as on time-domain analysis of wideband pulsed antenna arrays. Since 2014 he has been working at the School of Electrical Engineering, University of Belgrade, from which he received his Ph.D. degree in the area of computational electromagnetics. Currently, he works as assistant professor at the same school and his main interests are microwaves, applied electromagnetics, antenna systems, array signal processing and circuit theory.

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Branko Kolundžija (Fellow, IEEE) was born in Zenica, Bosnia and Herzegovina, in 1958. He received the B.Sc., M.Sc., and D.Sc. degrees from the University of Belgrade, Belgrade, Serbia, in 1981, 1986, and 1990, respectively. He joined the Faculty of Electrical Engineering, University of Belgrade, in 1981, where he is currently a Full Professor in electromagnetics and antennas and propagation. He has held lectures and short courses in Ottawa, Lisbon, Urbana, Albuquerque, Syracuse, Monterrey, Stuttgart, New York, Copenhagen, Helsinki, Calgary, Zurich, Long Island, Calcutta, Tokyo, Washington, Yokohama, and Okinawa. He is the main architect of the WIPL-D software suite. He is the author or coauthor of two monographs, a chapter in a monograph, three software packages, one textbook, 32 journal articles, and 160 papers at international conferences. His research interests are numerical problems in electromagnetics, especially those applied to antennas and microwave components.

参考

A. Sommerfeld, “Über die Ausbreitung der Wellen in der drahtlosen Telegraphie,” Ann. Physik, vol. 28, pp. 665–736, 1909.

A. Sommerfeld, “Über die Ausbreitung der Wellen in der drahtlosen Telegraphie,” Ann. Physik, vol. 28, pp. 665–736, 1909.

H. Weyl, “Ausbreitung elektromagnetischer Wellen über einem ebenen Leiter,” Ann. Physik, vol. 60, pp. 481–500, 1919.

B. Van der Pol and K. Niessen, “Über die Ausbreitung von elektromagnetischer Wellen über eine ebene Erde,” Ann. Physik, vol. 398, pp. 273–294, 1930.

X. F. Li, Y. J. Xie, R. Yang, and Y. Y. Wang, “High-frequency analysis of scattering from complex targets in half space,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 25, no. 5, pp. 433–443, June 2022.

M. García-Fernández, G. Álvarez-Narciandi, Y. Álvarez López, and F. Las-Heras, “Array-based ground penetrating synthetic aperture radar on board an unmanned aerial vehicle for enhanced buried threats detection,” IEEE Transactions on Geoscience and Remote Sensing, vol. 61, pp. 1–18, May 2023.

M. F. Pantoja, A. R. Bretones, and A. G. Yarovoy, “On the direct computation of the time-domain plane-wave reflection coefficients,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 24, no. 3, pp. 294–299, June 2022.

F. Rodriguez-Morales, D. Braaten, H. T. Mai, J. Paden, P. Gogineni, and J.-B. Yan, “A mobile, multichannel, UWB radar for potential ice core drill site identification in East Antarctica: Development and first results,” IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, vol. 13, pp. 4836–4847, Aug. 2020.

B. Li, W. Ke, H. Lu, S. Zhang, and W. Tang, “Far field reconstruction based on compressive sensing with prior knowledge,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 33, no. 12, pp. 1383–1389, July 2021.

T. J. Cui and W. C. Chew, “Fast algorithm for electromagnetic scattering by buried 3-D dielectric objects of large size,” IEEE Transactions on Geoscience and Remote Sensing, vol. 37, no. 5, pp. 2597–2608, Sep. 1999.

D. Koufogiannis, A. G. Polimeridis, M. Mattes, and J. R. Mosig, “Real axis integration of Sommerfeld integrals with error estimation,” in 2012 6th European Conference on Antennas and Propagation (EUCAP), Prague, pp. 719–723, Mar. 2012.

K. Yang and A. E. Yilmaz, “A three-dimensional adaptive integral method for scattering from structures embedded in layered media,” IEEE Transactions on Geoscience and Remote Sensing, vol. 50, no. 4, pp. 1130–1139, Apr. 2012.

K. A. Michalski and J. Mosig, “The Sommerfeld half-space problem revisited: From radio frequencies and Zenneck waves to visible light and fano modes,” Journal of Electromagnetic Waves and Applications, vol. 30, no. 1, pp. 1–42, 2016.

N. Basta and B. Kolundžija, “Efficient evaluation of the finite part of pole-free Sommerfeld integrals in half-space problems with predefined accuracy,” IEEE Transactions on Antennas and Propagation, vol. 67, no. 7, pp. 4930–4935, July 2019.

Automotive Antenna Test Solutions [Online]. Available: https://www.nsi-mi.com/applications/automotive.

K. A. Michalski and J. R. Mosig, “Efficient computation of Sommerfeld integral tails – methods and algorithms,” Journal of Electromagnetic Waves and Applications, vol. 30, no. 3, pp. 281–317, 2016.

V. V. Petroviæ and A. R. Djordjević, “General singularity extraction technique for reflected Sommerfeld integrals,” AEU – International Journal of Electronics and Communications, vol. 61, no. 8, pp. 504–508, 2007.

M. Yuan and T. K. Sarkar, “Computation of the Sommerfeld integral tails using the matrix pencil method,” IEEE Transactions on Antennas and Propagation, vol. 54, no. 4, pp. 1358–1362, Apr. 2006.

C.-P. Chang and C.-F. Yang, “A moment method solution for the shielding properties of three-dimensional objects above a lossy half space,” IEEE Transactions on Electromagnetic Compatibility, vol. 47, no. 4, pp. 723–730, Nov. 2005.

W. Luo, Z. Nie, and Y. P. Chen, “Fast analysis of electromagnetic scattering from three-dimensional objects straddling the interface of a half space,” IEEE Geoscience and Remote Sensing Letters, vol. 11, no. 7, pp. 1205–1209, July 2014.

X. Qi, Z. Nie, X. Que, Y. Wang, and Y. Yang, “An efficient method for analysis of EM scattering from objects straddling the interface of a half-space,” IEEE Geoscience and Remote Sensing Letters, vol. 13, no. 12, pp. 2014–2018, Dec. 2016.

K. A. Michalski and J. R. Mosig, “On the complete radiation pattern of a vertical hertzian dipole above a low-loss ground,” IEEE Journal of Microwaves, vol. 1, no. 3, pp. 747–762, July 2021.

J. Zhuo, F. Han, N. Liu, L. Ye, H. Liu, and Q. H. Liu, “Derivation and fast computation of dyadic Green’s functions of magnetic vector potential for unbounded uniaxial anisotropic media,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 32, no. 10, pp. 862–871, July 2021.

M. Kolundžija, A. R. Đorđević, and V. V. Petrović, “A new approach for accurate analysis of antennas above real ground,” in IEEE Antennas and Propagation Society International Symposium, Orlando, FL, USA, 11–16 July 1999.

Ansys HFSS [Online]. Available: https://www.ansys.com/products/electronics/ansys-hfss.

Altair Feko [Online]. Available: https://altair.com/feko.

WIPL-D [Online]. Available: https://wipl-d.com/.

J. M. Mosig and F. E. Gardiol, “Analytical and numerical techniques in the Green’s function treatment of microstrip antennas and scatterers,” IEE Proceedings H Microwaves, Optics and Antennas, vol. 130, no. 2, pp. 175–182, 1983.

J. R. Mosig and A. A. Melcon, “Green’s functions in lossy layered media: integration along the imaginary axis and asymptotic behavior,” IEEE Transactions on Antennas and Propagation, vol. 51, no. 12, pp. 3200–3208, Dec. 2003.

B. M. Kolundzija and N. Basta, “Method for evaluating the accuracy of Sommerfeld integrals calculations in half-space problems,” in 2023 International Conference on Electromagnetics in Advanced Applications (ICEAA), Venice, Italy, p. 435, Oct. 2023.

N. Basta and B. Kolundžija, “Application of Sommerfeld-integral expressions in dielectric and magnetic half-space problems,” in 2024 11th International Conference on Electrical, Electronic and Computing Engineering (IcETRAN), Niš, Serbia, 2024.

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已出版

2025-10-30

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[1]
N. . Basta 和 B. . Kolundžija, 《Application of Ground-Clump Method to Verification of Half-Space Dyadic Green’s Matrices》, ACES Journal, 卷 40, 期 10, 页 983–992, 10月 2025.

期

2025: Vol 40 Iss 10

栏目

General Submission

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