Antenna modeling using the method of moments: surface approximation by wires

Authors and copyright holders:

• Nguen M. T. , Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)
• Gazizov T. R. , Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)
• Alhadzh-Hasan A. F. , Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)

• 1. Yee K.S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation, 1966, vol. 14, no. 3, pp. 302–307. DOI: 10.1109/TAP.1966.1138693.
• 2. Taflove A. Application of the finite-difference time-domain method to sinusoidal steady state electromagnetic penetration problems. IEEE Transactions on Electromagnetic Compatibility, 1980, vol. EMC-22, no. 3, pp. 191–202. DOI: 10.1109/TEMC.1980.303879.
• 3. Weiland T. A discretization model for the solution of Maxwell's equations for sixcomponent fields. Electronics and Communications AEUE, 1977, vol. 31, pp. 116–120.
• 4. Van Rienen U. Numerical methods in computational electrodynamics. Linear systems in practical. Heidelberg, Springer Science & Business Media, 2001, 375 p.
• 5. Courant R. Variational methods for the solution of problems of equilibrium and vibrations. Bulletin of American Mathematical Society, 1943, vol. 49, no. 1, pp. 1–23.
• 6. Desai C.S., Abel J.F. Introduction to the finite element method: a numerical approach for engineering analysis. Van Nostrand Reinhold: New York, 1972, 477 p.
• 7. Gordon W.J., Hall C.A. Construction of curvilinear co-ordinate systems and applications to mesh generation. International Journal for Numerical Methods in Engineering, 1973, vol. 7, pp. 461–477.
• 8. Luukkonen O., Simovski C., Granet G., Goussetis G., Lioubtchenko D., Raisanen A.V., Tretyakov S.A. Simple and Accurate Analytical Model of Planar Grids and High-Impedance Surfaces Comprising Metal Strips or Patches. IEEE Transactions on Antennas and Propagation, 2008, vol. 56, no. 6, pp. 1624–1632. DOI: 10.1109/TAP.2008.923327.
• 9. Harrington R.F. Matrix methods for field problems. Proceedings of the IEEE, 1967, vol. 55, no. 2, pp. 136–149. DOI: 10.1109/PROC.1967.5433.
• 10. Davidson D.B. Computational Electromagnetics for RF and Microwave Engineering. Cambridge: University Press, 2011, 505 p.
• 11. Gibson W.C. The Method of Moments in Electromagnetics. Boca Raton: Chapman & Hall/CRC, 2008, 272 p.
• 12. Makarov S.N. Antenna and EM Modeling with MATLAB. John Wiley & Sons: New York NY, USA, 2002, 288 p.
• 13. Newman E., Tulyathan P. A surface patch model for polygonal plate. IEEE Transactions on Antennas and Propagation, 1982, vol. 30, no. 4, pp. 588–593. DOI: 10.1109/TAP.1982.1142841.
• 14. Newman E., Tulyathan P. A surface patch model for polygonal plate. IEEE Transactions on Antennas and Propagation, 1982, vol. 30, no. 4, pp. 588–593. DOI: 10.1109/TAP.1982.1142841.
• 15. Balanis C.A. Advanced Engineering Electromagnetics, 2nd ed. John Wiley & Sons: New York NY, USA, 2012, 1040 p.
• 16. King R.W.P. Antennas in Matter: Fundamentals, Theory, and Applications, 2nd ed. Cambridge: London, 1981, 824 p.
• 17. Werner D.H., Werne P.L., Breakall J.K. Some computational aspects of Pocklington electric field integral equation for thin wires. IEEE Transactions on Antennas and Propagation, 1994, vol. 42, no. 4, pp. 561–563. DOI: 10.1109/8.286230.
• 18. Vipiana F., Vecchi G., Wilton D.R. A Multi-Resolution Moment Method for Wire-Surface Objects. IEEE Transactions on Antennas and Propagation, 2010, vol. 58, no. 5, pp. 1807–1813. DOI: 10.1109/TAP.2010.2044322.
• 19. Leat C.J., Shuley N.V., Stickley G.F. Triangular-patch model of bowtie antennas: Validation against Brown and Woodward. IEEE Proceedings – Microwaves, Antennas and Propagation, 1998, vol. 145, no. 6, pp. 465–470. DOI: 10.1049/ip-map:19981881.
• 20. Yla-Oijala P., Taskinen M. Calculation of CFIE impedance matrix elements with RWG and n×RWG functions. IEEE Transactions on Antennas and Propagation, 2003, vol. 51, no. 8, pp. 1837–1846. DOI: 10.1109/TAP.2003.814745.
• 21. Garg R. Analytical and Computational Methods in Electromagnetic. Artech house, 2008.
• 22. Mosig J.R., Itoh J. Integral equation technique. Numerical Techniques for Microwave and Millimeter-Wave Passive Structures. IEEE Antennas and Propagation Society Newsletter, 1989, vol. 31, no. 5, pp. 31–32. DOI: 10.1109/MAP.1989.6102064.
• 23. Singh J., Adams A. A nonrectangular patch model for scattering from surfaces. IEEE Transactions on Antennas and Propagation, 1979, vol. 27, no. 4, pp. 531–535. DOI: 10.1109/TAP.1979.1142128.
• 24. Albertsen N., Hansen J., Jensen N. Computation of radiation from wire antennas on conducting bodies. IEEE Transactions on Antennas and Propagation, 1974, vol. 22, no. 2, pp. 200–206. DOI: 10.1109/TAP.1974.1140783.
• 25. Newman E., Pozar D. Electromagnetic modeling of composite wire and surface geometries. IEEE Transactions on Antennas and Propagation, 1978, vol. 26, no. 6, pp. 784–789. DOI: 10.1109/TAP.1978.1141937.
• 26. Tulyathan P. Moment method solutions for radiation and scattering from arbitrarily shaped surfaces. The Ohio State University, 1981.
• 27. Glisson Jr., Wilburn A. On the development of numerical techniques for treating arbitrarily-shaped surfaces. The University of Mississippi, 1978.
• 28. NEC based antenna modeler and optimizer. Available at: https://www.qsl.net/4nec2/ (Accessed: January 15, 2023)
• 29. MMANA–CAL basic. Available at: http://galana.de/basicmm/en/ (Accessed: January 15, 2023)
• 30. CONCEPT-II – Institut für Theoretische Elektrotechnik. Available at: https://www.tet.tuhh.de/en/concept-2/ (Accessed: January 15, 2023)
• 31. Kadlec D.L., Coffey E.L. General Electromagnetic Model for the Analysis of Complex Systems (GEMACS) Computer Code Documentation (Version 3). Final Technical Report, 1983.
• 32. AN-SOF Overview Antenna Simulation Software. Available at: https://antennasimulator.com/index.php/knowledgebase/an-sof-overview/ (Accessed: January 15, 2023)
• 33. Richie J.E., Gangl H.R. EFIE-MFIE hybrid simulation using NEC:VSWR for the WISP experiment. IEEE Transactions on Electromagnetic Compatibility, 1995, vol. 37, no. 2, pp. 293–296. DOI: 10.1109/15.385897.
• 34. Newman, E.H. A User's Manual for: Electromagnetic Surface Patch Code (ESP). Ohio State University Columbus Electroscience Lab, 1981.
• 35. Newman E., Pozar D. Considerations for efficient wire/surface modeling. IEEE Transactions on Antennas and Propagation, 1980, vol. 28, no. 1, pp. 121–125. DOI: 10.1109/TAP.1980.1142270.
• 36. Peng J., Balanis C.A., Barber G.C. NEC and ESP codes: guidelines, limitations, and EMC applications. IEEE Transactions on Electromagnetic Compatibility, 1993, vol. 35, no. 2, pp. 124–133. DOI: 10.1109/15.229428.
• 37. Analoui M., Kagawa Y. On the surface-patch and wire-grid modeling for planar antenna mounted on metal housing. IEICE Transactions on Communications, 1993, vol. E76-B, no. 11, pp. 1450–1455.
• 38. Kashyap S. Wire grid and surface patch modelling for EMP interaction. International Symposium on Antennas and Propagation Society, Merging Technologies for the 90's, 1990, vol. 4, pp. 1388–1391. DOI: 10.1109/APS.1990.115372.
• 39. Ida I., Takada J., Ito K. Surface-patch modelling of a Wheeler cap for radiation efficiency simulation of a small loop antenna with NEC2. Electronics Letters, 1994, vol. 30, no. 4, pp. 278–280. DOI: 10.1049/el:19940245.
• 40. Raschkowan L.R. Near and far field comparison using wire-grid and patch models. Concordia University, 2003.
• 41. Larsen T.A Survey of the Theory of Wire Grids. IRE Transactions on Microwave Theory and Techniques, 1962, vol. 10, no. 3, pp. 191–201. DOI: 10.1109/TMTT.1962.1125490.
• 42. Wait J. Electromagnetic scattering from a wire grid parallel to a planar stratified medium. IEEE Transactions on Antennas and Propagation, 1972, vol. 20, no. 5, pp. 672–675. DOI: 10.1109/TAP.1972.1140276.
• 43. Wait J.R., Hill D.A. Electromagnetic scattering by two perpendicular wire grids over a conducting half-space. Radio Science, 1976, vol. 11, no. 8–9, pp. 725–730. DOI: 10.1029/RS011i008p00725.
• 44. Wang Z., Zhou B. A quasi-optical method of measuring polarized wire grids at short millimeter wavelengths. [Conference Digest] International Conference on Millimeter Wave and Far-Infrared Technology: ICMWFT '90, 1989, pp. 542–544. DOI: 10.1109/ICMWFT.19
• 45. Wait J.R. Reflection from a wire grid parallel to a conducting plane. Canadian Journal of Physics, 1954, vol. 32, no. 9, pp. 571–579.
• 46. Wait J.R. The Impedance of a Wire Grid Parallel to a Dielectric Interface. IRE Transactions on Microwave Theory and Techniques, 1957, vol. 5, no. 2, pp. 99–102. DOI: 10.1109/TMTT.1957.1125106.
• 47. Young J.L., Wait J.R. Note on the impedance of a wire grid parallel to homogeneous interface. IEEE Transactions on Microwave Theory and Techniques, 1989, vol. 37, no. 7, pp. 1136–1138. DOI: 10.1109/22.24560.
• 48. Yatsenko V.V., Tretyakov S.A., Maslovski S.I., Sochava A.A. Higher order impedance boundary conditions for sparse wire grids. IEEE Transactions on Antennas and Propagation, 2000, vol. 48, no. 5, pp. 720–727. DOI: 10.1109/8.855490.
• 49. Macfarlane G.G. Surface impedance of an infinite parallel-wire grid at oblique angles of incidence. Journal of the Institution of Electrical Engineers. Part IIIA: Radiolocation, 1946, vol. 93, no. 10, pp. 1523–1527. DOI: 10.1049/ji-3a1.1946.0256.
• 50. Wait J.R. Effective impedance of a wire grid parallel to the earth's surface. IRE Transactions on Antennas and Propagation, 1962, vol. 10, no. 5, pp. 538–542. DOI: 10.1109/TAP.1962.1137914.
• 51. Richmond J.H. Radiation and scattering by thin-wire structures in the complex frequency domain. NASA Technical Reports Server (NTRS), 1974.
• 52. Wait J.R., Spies K. On the radiation from a vertical dipole with an inductive wire-grid ground system. IEEE Transactions on Antennas and Propagation, 1970, vol. 18, no. 4, pp. 558–560. DOI: 10.1109/TAP.1970.1139730.
• 53. Zheng K., Yang M., Tu X., Qin S., An K. Analysis of Waveform Parameters for Multi-segments of Wire Grids of Bounded Wave Simulator. 2019 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSQRWC), 2019, pp. 1–3. DOI: 10.1109/CSQRWC.2019.8799326.
• 54. Nagy A.W. An Experimental Study of Parasitic Wire Reflectors on 2.5 Meters. Proceedings of the Institute of Radio Engineers, 1936, vol. 24, no. 2, pp. 233–254. DOI: 10.1109/JRPROC.1936.226415.
• 55. Saenz E., Gonzalo R., Ederra I. Design of a planar meta-surface based on dipoles and wires for antenna applications. Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP), 2006.
• 56. Feresidis A.P., Apostolopoulos G., Serfas N., Vardaxoglou J.C. Closely coupled metallodielectric electromagnetic band-gap structures formed by double-layer dipole and tripole arrays. IEEE Transactions on Antennas and Propagation, 2004, vol. 52, no. 5, pp. 1149–1158. DOI: 10.1109/TAP.2004.827530.
• 57. Belov P.A., Simovski C.R., Tretyakov S.A. Two-dimensional electromagnetic crystals formed by reactively loaded wires. Physical Review E, 2002.
• 58. Belov P.A., Tretyako S.A., Viitanen A.J. Dispersion and Reflection Properties of Artificial Media Formed By Regular Lattices of Ideally Conducting Wires. Journal of Electromagnetic Waves and Applications, 2002, vol. 16, no. 8, pp. 1153–1170. DOI: 10.1163/156939302X00688.
• 59. Moses C.A., Engheta N. Electromagnetic wave propagation in the wire medium: a complex medium with long thin inclusions. Wave Motion, 2001, vol. 34, no. 3, pp. 301–317. DOI: 10.1016/S0165-2125(01)00095-6.
• 60. Taub J.J., Goldberg J. A New Technique for Multimode Power Measurement. PGMTT National Symposium Digest, 1962, pp. 64–69. DOI: 10.1109/PGMTT.1962.1122388.
• 61. Schiffman B.M., Young L., Larrick R.B. Wire-Grid Waveguide Bolometers for Multimode Power Measurement. IEEE Transactions on Microwave Theory and Techniques, 1965, vol. 13, no. 4, pp. 427–431. DOI: 10.1109/TMTT.1965.1126023.
• 62. Wait J.R. On the theory of scattering from a periodically loaded wire grid. IEEE Transactions on Antennas and Propagation, 1977, vol. 25, no. 3, pp. 409–413. DOI: 10.1109/TAP.1977.1141598.
• 63. Ikonen P.M.T., Saenz E., Gonzalo R., Tretyakov S.A. Modeling and Analysis of Composite Antenna Superstrates Consisting on Grids of Loaded Wires. IEEE Transactions on Antennas and Propagation, 2007, vol. 55, no. 10, pp. 2692–2700. DOI: 10.1109/TAP.2007.905926.
• 64. Malyuskin O., Fusco V.F., Schuchinsky A. Modelling of impedance-loaded wire frequency-selective surfaces with tunable reflection and transmission characteristics. International Journal of Numerical Modelling, 2008, vol. 21, pp. 439–453. DOI: 10.1002/jnm.681.
• 65. Sharp E. Electromagnetic theory of wire-grid lens HF antennas. Antennas and Propagation Society International Symposium, 1964, pp. 7–12. DOI: 10.1109/APS.1964.1150167.
• 66. Tanner R., Andreasen M. A wire-grid lens antenna of wide application part I: The wire-grid lens-Concept and experimental confirmation. IRE Transactions on Antennas and Propagation, 1962, vol. 10, no. 4, pp. 408–415. DOI: 10.1109/TAP.1962.1137888.
• 67. Jones E. Measured angle-diversity performance of the wire-grid lens antenna. IEEE Transactions on Antennas and Propagation, 1967, vol. 15, no. 3, pp. 484–486. DOI: 10.1109/TAP.1967.1138923.
• 68. Jones E. Measured performance of the wire-grid lens HF antenna (Luneburg lens). 1966 Antennas and Propagation Society International Symposium, 1966, pp. 131–137. DOI: 10.1109/APS.1966.1150377.
• 69. Jones E., Tanner R., Sharp E., Andreasen M., Harris F. Performance of the wire-grid lens HF antenna. IEEE Transactions on Antennas and Propagation, 1967, vol. 15, no. 6, pp. 744–749. DOI: 10.1109/TAP.1967.1139041.
• 70. Andreasen M., Tanner R. A wire-grid lens antenna of wide application part II: Wave-propagating properties of a pair of wire grids with square, hexagonal or triangular mesh. IRE Transactions on Antennas and Propagation, 1962, vol. 10, no. 4, pp. 416–429. DOI: 10.1109/TAP.1962.1137889.
• 71. Rahmat-Samii Y., Lee S. Vector diffraction analysis of reflector antennas with mesh surfaces. IEEE Transactions on Antennas and Propagation, 1985, vol. 33, no. 1, pp. 76–90. DOI: 10.1109/TAP.1985.1143477.
• 72. Farr E.G. Analysis of the impulse radiating antenna. IEEE Antennas and Propagation Society International Symposium 1992 Digest, 1992, vol. 3, pp. 1232–1235. DOI: 10.1109/APS.1992.221667.
• 73. Sarkar T., Rao S. The application of the conjugate gradient method for the solution of electromagnetic scattering from arbitrarily oriented wire antennas. IEEE Transactions on Antennas and Propagation, 1984, vol. 32, no. 4, pp. 398–403. DOI: 10.1109/TAP.1984.1143331.
• 74. Cwik T., Mittra R. Spectral domain solution of scattering from periodic surfaces using the FFT. 1984 Antennas and Propagation Society International Symposium, 1984, pp. 913–916. DOI: 10.1109/APS.1984.1149217.
• 75. Christodoulou C.G, Kauffman J. On the electromagnetic scattering from infinite rectangular grids with finite conductivity. IEEE Transactions on Antennas and Propagation, 1986, vol. 34, no. 2, pp. 144–154. DOI: 10.1109/TAP.1986.1143803.
• 76. Christodoulou C.G. Electromagnetic scattering from skew-symmetric metallic grids. Microwave and Optical Technology Letters, 1993, vol. 6, no. 13, pp. 777–782. DOI: 10.1002/mop.4650061316.
• 77. Sarkar T., Arvas E., Rao S. Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies. IEEE Transactions on Antennas and Propagation, 1986, vol. 34, no. 5, pp. 635–640. DOI: 10.1109/TAP.1986.1143871.
• 78. Christodoulou C.G., Yin S., Kauffman J.F. Effects of the Schottky impedance of wire contact points on the reflection properties of a mesh. IEEE Transactions on Antennas and Propagation, 1988, vol. 36, no. 12, pp. 1714–1721. DOI: 10.1109/8.14393.
• 79. Andreasen M. Scattering from bodies of revolution. IEEE Transactions on Antennas and Propagation, 1965, vol. 13, no. 2, pp. 303–310. DOI: 10.1109/TAP.1965.1138406.
• 80. Shaeffer J. EM scattering from bodies of revolution with attached wires. IEEE Transactions on Antennas and Propagation, 1982, vol. 30, no. 3, pp. 426–431. DOI: 10.1109/TAP.1982.1142815.
• 81. Glisson A., Butler C. Analysis of a wire antenna in the presence of a body of revolution. IEEE Transactions on Antennas and Propagation, 1980, vol. 28, no. 5, pp. 604–609. DOI: 10.1109/TAP.1980.1142389.
• 82. Nagy L. Analysis of Bodies of Revolution Antennas with Circular Ground Plane. 1991 21st European Microwave Conference, 1991, pp. 769–773. DOI: 10.1109/EUMA.1991.336395.
• 83. Kawakami H., Sato G. Broad-band characteristics of rotationally symmetric antennas and thin wire constructs. IEEE Transactions on Antennas and Propagation, 1987, vol. 35, no. 1, pp. 26–32. DOI: 10.1109/TAP.1987.1143967.
• 84. Li R., Nakano H. Numerical analysis of arbitrarily shaped probe-excited single-arm printed wire antennas. IEEE Transactions on Antennas and Propagation, 1998, vol. 46, no. 9, pp. 1307–1317. DOI: 10.1109/8.719974.
• 85. Knepp D., Goldhirsh J. Numerical analysis of electromagnetic radiation properties of smooth conducting bodies of arbitrary shape. IEEE Transactions on Antennas and Propagation, 1972, vol. 20, no. 3, pp. 383–388. DOI: 10.1109/TAP.1972.1140210.
• 86. Wang J.J.H. Numerical analysis of three-dimensional arbitrarily-shaped conducting scatterers by trilateral surface cell modelling. Radio Science, 1978, vol. 13, no. 6, pp. 947–952. DOI: 10.1029/RS013i006p00947.
• 87. Waterman P.C. Matrix formulation of electromagnetic scattering. Proceedings of the IEEE, 1965, vol. 53, no. 8, pp. 805–812. DOI: 10.1109/PROC.1965.4058.
• 88. Baghdasarian A., Angelakos D.J. Scattering from conducting loops and solution of circular loop antennas by numerical methods. Proceedings of the IEEE, 1965, vol. 53, no. 8, pp. 818–822. DOI: 10.1109/PROC.1965.4060.
• 89. Kamardin K., Khamas S. Stationary Phase Analysis of a Printed Circular Wire Loop Antenna with Dielectric Superstrate Cover Based on an Efficient Moment Method. 2007 International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, 2007, pp. 710–713. DOI: 10.1109/MAPE.2007.4393722.
• 90. Richmond J. A wire-grid model for scattering by conducting bodies. IEEE Transactions on Antennas and Propagation, 1966, vol. 14, no. 6, pp. 782–786. DOI: 10.1109/TAP.1966.1138783.
• 91. Chen W., Chuang H. Numerical computation of human interaction with arbitrarily oriented superquadric loop antennas in personal communications. IEEE Transactions on Antennas and Propagation, 1998, vol. 46, no. 6, pp. 821–828. DOI: 10.1109/8.686768.
• 92. Richmond J.H. Digital computer solutions of the rigorous equations for scattering problems. Proceedings of the IEEE, 1965, vol. 53, no. 8, pp. 796–804. DOI: 10.1109/PROC.1965.4057.
• 93. Lin J., Curtis W., Vincent M. Radar cross section of a rectangular conducting plate by wire mesh modeling. IEEE Transactions on Antennas and Propagation, 1974, vol. 22, no. 5, pp. 718–720. DOI: 10.1109/TAP.1974.1140885.
• 94. Lin J., Curtis W., Vincent M. Radar cross section of a conducting plate by wire mesh modeling. 1973 Antennas and Propagation Society International Symposium, 1973, pp. 422–425. DOI: 10.1109/APS.1973.1147172.
• 95. Simpson T. The theory of top-loaded antennas: Integral equations for the currents. IEEE Transactions on Antennas and Propagation, 1971, vol. 19, no. 2, pp. 186–190. DOI: 10.1109/TAP.1971.1139900.
• 96. Agrawal P., Bailey M. An analysis technique for microstrip antennas. IEEE Transactions on Antennas and Propagation, 1977, vol. 25, no. 6, pp. 756–759. DOI: 10.1109/TAP.1977.1141706.
• 97. Conti R., Toth J., Dowling T., Weiss J. The wire grid microstrip antenna. IEEE Transactions on Antennas and Propagation, 1981, vol. 29, no. 1, pp. 157–166. DOI: 10.1109/TAP.1981.1142541.
• 98. Hildebrand L.T. The analysis of microstrip wire-grid antenna arrays. University of Pretoria, 2010.
• 99. Lee S., Zarrillo G., Law C. Simple formulas for transmission through periodic metal grids or plates. IEEE Transactions on Antennas and Propagation, 1982, vol. 30, no. 5, pp. 904–909. DOI: 10.1109/TAP.1982.1142923.
• 100. Wang J., Ryan C. Application of wire-grid modelling to the design of low-profile aircraft antenna. 1977 Antennas and Propagation Society International Symposium, 1977, pp. 222–225. DOI: 10.1109/APS.1977.1147721.
• 101. Owen J. Wire grid modelling of helicopter HF aerials. 1980 Antennas and Propagation Society International Symposium, 1980, pp. 722–725. DOI: 10.1109/APS.1980.1148259.
• 102. Luu Q.C., Kubina S.J., Trueman C.W., De Carlo D. Study of HF antenna coupling modes on the EC-130 aircraft. 1992 Symposium on Antenna Technology and Applied Electromagnetics, 1992, pp. 223–232. DOI: 10.1109/ANTEM.1992.7854268.
• 103. Austin B.A., Najm R.K. Wire-grid modelling of vehicles with flush-mounted window antennas. 1991 Seventh International Conference on Antennas and Propagation, ICAP 91 (IEE), 1991, vol. 2, pp. 950–953.
• 104. Imbriale W.A., Galindo-Israel V., Rahmat-Samii Y. On the reflectivity of complex mesh surfaces (spacecraft reflector antennas). IEEE Transactions on Antennas and Propagation, 1991, vol. 39, no. 9, pp. 1352–1365. DOI: 10.1109/8.99044.
• 105. Ghaderi P., Aliakbarian H., Sadeghzadeh R. Integration of one dimensional wire grid antennas with solar cells for LEO satellite application. 2015 Loughborough Antennas & Propagation Conference (LAPC), 2015, pp. 1–4. DOI: 10.1109/LAPC.2015.7366120.
• 106. Sarolic A., Modlic B., Poljak D. Measurement validation of ship wiregrid models of different complexity. 2001 IEEE EMC International Symposium. Symposium Record. International Symposium on Electromagnetic Compatibility (Cat. No.01CH37161), 2001, vol. 1, pp. 147–150. DOI: 10.1109/ISEMC.2001.950573.
• 107. McLachlan J., Antar Y.M.M., Kubina S.J., Kashyap S. Electromagnetic modelling of a warship at high frequency. 1992 Symposium on Antenna Technology and Applied Electromagnetics, 1992, pp. 662–667. DOI: 10.1109/ANTEM.1992.7854217.
• 108. Lin Y., Richmond J. EM modeling of aircraft at low frequencies. IEEE Transactions on Antennas and Propagation, 1975, vol. 23, no. 1, pp. 53–56. DOI: 10.1109/TAP.1975.1140994.
• 109. Palmer K.D., Cloete J.H. Synthesis of the microstrip wire grid array. Tenth International Conference on Antennas and Propagation (Conf. Publ. No. 436), 1997, vol. 1, pp. 114–118. DOI: 10.1049/cp:19970220.
• 110. McCormick S.A., Coburn W.O. Microstrip grid array fed against an EBG. 2016 IEEE/ACES International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Electromagnetics (ACES), 2016, pp. 1–2. DOI: 10.1109/ROPACES.2016.7465425.
• 111. Hildebrand L.T., McNamara D.A. Experimental verification of an integral equation analysis of etched wire-grid antenna arrays. Proceedings of the IEEE Antennas and Propagation Society International Symposium, 1993, vol. 3, pp. 1494–1497. DOI: 10.1109/APS.1993.385478.
• 112. Gallagher J.G., Brammer D.J. Electromagnetic Scattering by an Infinite Array of Periodic Broken Wires Buried in a Dielectric Sheet. 1983 13th European Microwave Conference, 1983, pp. 778–782. DOI: 10.1109/EUMA.1983.333193.
• 113. Schneider S.W. Munk B.A. The scattering properties of «Super Dense» arrays of dipoles. IEEE Transactions on Antennas and Propagation, 1994, vol. 42, no. 4, pp. 463–472. DOI: 10.1109/8.286213.
• 114. Lockyer D., Moore C., Seager R., Simpkin R., Vardaxoglou J.C. Coupled dipole arrays as reconfigurable frequency selective surfaces. Electronics Letters, 1994, vol. 30, no. 16, pp. 1258–1259. DOI: 10.1049/el:19940906.
• 115. Dmitriev D.D., Ratushnyak V.N., Gladyshev A.B., Buravleva M.E., Chernovolenko A.I. Synthesis of Directivity Pattern for Various Antenna Arrays Configurations of Vertical Atmospheric Sensing Radar Station. 2021 International Siberian Conference on Control and Communications (SIBCON), 2021, pp. 1–5. DOI: 10.1109/SIBCON50419.2021.9438940.
• 116. Richmond J.H. Scattering by an Arbitrary Array of Parallel Wires. IEEE Transactions on Microwave Theory and Techniques, 1965, vol. 13, no. 4, pp. 408–412. DOI: 10.1109/TMTT.1965.1126020.
• 117. Harrington R.F. The method of moments in electromagnetics. Journal of Electromagnetic Waves and Applications, 1987, vol. 1, pp. 181–200. DOI: 10.1163/156939387X00018.
• 118. Thiele G., Newhouse T. A hybrid technique for combining moment methods with the geometrical theory of diffraction. IEEE Transactions on Antennas and Propagation, 1975, vol. 23, no. 1, pp. 62–69. DOI: 10.1109/TAP.1975.1141004.
• 119. Fan D. A new approach to diffraction analysis of conductor grids. I. Parallel-polarized incident plane waves. IEEE Transactions on Antennas and Propagation, 1989, vol. 37, no. 1, pp. 84–88. DOI: 10.1109/8.192168.
• 120. Fan D. A new approach to diffraction analysis of conductor grids. II. Perpendicular-polarized incident plane waves. IEEE Transactions on Antennas and Propagation, 1989, vol. 37, no. 1, pp. 89–93. DOI: 10.1109/8.192169.
• 121. Ferguson T.R. Efficient solution of large moments problems: wire grid modeling criteria and conversion to surface currents. The Applied Computational Electromagnetics Society Journal (ACES), 2022, Vol. 3, no. 1, pp. 55–81.
• 122. Geranmayeh A., Moini R., Sadeghi S.H.H., Deihimi A. A fast wavelet-based moment method for solving thin-wire EFIE. IEEE Transactions on Magnetics, 2006, vol. 42, no. 4, pp. 575–578. DOI: 10.1109/TMAG.2006.872020.
• 123. Lewis G., Fortuny-Guasch J., Sieber A. Bistatic radar scattering experiments of parallel wire grids. IEEE International Geoscience and Remote Sensing Symposium, 2002, vol. 1, pp. 444–446. DOI: 10.1109/IGARSS.2002.1025067.
• 124. Kolev N.Z. An application of the method of moments for computation of RCS of PEC wire-grid models of complicated objects. MMET Conference Proceedings. 1998 International Conference on Mathematical Methods in Electromagnetic Theory. MMET 98 (Cat. No.98EX114), 1998, vol. 2, pp. 499–501. DOI: 10.1109/MMET.1998.709795.
• 125. Abd-Alhameed R.A., Zhou D., See C.H., Excell P.S. A Wire-Grid Adaptive-Meshing Program for Microstrip-Patch Antenna Designs Using a Genetic Algorithm [EM Programmer's Notebook]. IEEE Antennas and Propagation Magazine, 2009, vol. 51, no. 1, pp. 147–151. DOI: 10.1109/MAP.2009.4939045.
• 126. Gurel L. Design and Simulation of Circular Arrays of Trapezoidal-Tooth Log-Periodic Antennas via Genetic Optimization. Progress In Electromagnetics Research, 2008, vol. 85, pp. 243–260. DOI: 10.2528/PIER08081809.
• 127. Lindell I.V., Akimov V.P., Alanen E. Image Theory for Dipole Excitation of Fields above and below a Wire Grid with Square Cells. IEEE Transactions on Electromagnetic Compatibility, 1986, vol. 28, no. 2, pp. 107–110. DOI: 10.1109/TEMC.1986.4307257.
• 128. Harrington R., Mautz J. Theory of characteristic modes for conducting bodies. IEEE Transactions on Antennas and Propagation, 1971, vol. 19, no. 5, pp. 622–628. DOI: 10.1109/TAP.1971.1139999.
• 129. Mayhan J.T. Characteristic modes and wire grid modeling. IEEE Transactions on Antennas and Propagation, 1990, Vol. 38, no. 4, pp. 457–469. DOI: 10.1109/8.52263.
• 130. Chung A.M., Balmain K.G. Tray-shape effect in a computational model of microwave heating. Canadian Journal of Electrical and Computer Engineering, 1995, vol. 20, no. 4, pp. 173–178. DOI: 10.1109/CJECE.1995.7102073.
• 131. Tsunekawa K., Ando A. Advanced wire grid method for solving the scattered field of a lossy dielectric object. IEEE Antennas and Propagation Society International Symposium, 1992, vol. 2, pp. 797–800. DOI: 10.1109/APS.1992.221688.
• 132. Goňa S., Jilková J. Homogenization of composite consisting from dielectric slab and wire grid assuming negative and non-negative permittivity, a comparison. 15th Conference on Microwave Techniques COMITE 2010, 2010, pp. 209–212. DOI: 10.1109/COMITE.2010.5481269.
• 133. Yung E.K.N., Cheng C.C. Scattering of electromagnetic waves by a wire grid of hexagonal meshes. Digest on Antennas and Propagation Society International Symposium, 1989, vol. 2, pp. 730–733. DOI: 10.1109/APS.1989.134793.
• 134. Ghaffari-Miab M., Firouzeh Z.H., Faraji-Dana R., Moini R., Sadeghi S.H.H., Vandenbosch G.A.E. Time-domain MoM for the analysis of thin-wire structures above half-space media using complex-time Green's functions and band-limited quadratic B-spline temporal basis functions. Engineering Analysis with Boundary Elements, 2012, vol. 36, pp. 1116–1124. DOI: 10.1016/j.enganabound.2012.02.004.
• 135. Štumpf M., Lager I.E., Antonini G. Time-Domain Analysis of Thin-Wire Structures Based on the Cagniard-De-Hoop Method of Moments. IEEE Transactions on Antennas and Propagation, 2022, vol. 70, no. 6, pp. 4655–4662. DOI: 10.1109/TAP.2022.3140782.
• 136. Kedzia J.C., Jecko B. Frequency and Time Domain Analysis of Microstrip Antennas. 1985 15th European Microwave Conference, 1985, pp. 1045–1051. DOI: 10.1109/EUMA.1985.333601.
• 137. Rao S. A Simple and Efficient Method of Moments Solution Procedure for Solving Time-Domain Integral Equation–Application to Wire-Grid Model of Perfect Conducting Objects. IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2019, vol. 4, pp. 57–63. DOI: 10.1109/JMMCT.2019.2900702.
• 138. Kontorovich M.I., Yu V.P., Petrun'kin N.A., Yesepkina M.I. [The coefficient of reflection of a plane electromagnetic wave from a plane wire mesh]. Radio Engineering and Electronic Physics, 1962, vol. 7, pp. 222–231 (in Russ.).
• 139. Kontorovich M.I., Petrunkin V.Y., Esepkina N.A., Astrakhan M.I. [Reflection factor of a plane electromagnetic wave reflecting from a plane wire grid]. Radio Engineering and Electronic Physics, 1962, vol. 7, pp. 222–231 (in Russ.).
• 140. Kontorovich M.I. [Averaged boundary conditions at the surface of a grating with square mesh]. Radio Engineering and Electronic Physics, 1963, vol. 8, pp. 1446–1454 (in Russ.).
• 141. Kontorovich M.I., Astrakhan M.I., Akimov V.P., Fersman G.A. Electrodynamics of Grid Structures. Radio i Svyaz: Moscow, 1987 (in Russ).
• 142. Castillo J.P., Chen K.C., Singaraju B.K. Calculation of currents induced on a disk by a wire grid code. Interaction Note, 1975, vol. 230, pp. 14.
• 143. Burke G.J., Poggio A.J., Logan J.C., Rockway J.W. Numerical Electromagnetic Code (NEC). 1979 IEEE International Symposium on Electromagnetic Compatibility, 1979, pp. 1–3. DOI: 10.1109/ISEMC.1979.7568787.
• 144. Çakir G., Sevgi L. Radar cross-section (RCS) analysis of high frequency surface wave radar targets. Turkish Journal of Electrical Engineering and Computer Sciences, 2010, vol. 18, pp. 457–468. DOI: 10.3906/elk-0912-7.
• 145. Trueman C.W. Wire-Grid Model Construction and Verification Using Programs MESHES, FNDRAD and CHECK. Dept. of Electrical and Computer Engineering: Concordia University, 1990.
• 146. Trueman C.W., Kubina S.J. Verifying wire-grid model integrity with program 'Check'. The Applied Computational Electromagnetics Society Journal (ACES), 1990, vol. 5, no. 2, pp. 17–42.
• 147. Yang X.H., Shafai L., Sebak A. A comparison study on wire-grid model and point matching technique with subdomain basis functions. 1992 Symposium on Antenna Technology and Applied Electromagnetics, 1992, pp. 656–661. DOI: 10.1109/ANTEM.1992.7854316.
• 148. Elliniadis P., Breakall J.K. An investigation of near fields for shipboard antennas using the numerical electromagnetics code (NEC). Digest on Antennas and Propagation Society International Symposium, 1989, vol. 1, pp. 236–239. DOI: 10.1109/APS.1989.134659.
• 149. Burke G.J. Recent advances to NEC: Applications and validation. AGARD Lecture Series, 1989, pp.165.
• 150. McKaughan M.E. Coast Guard applications of NEC. IEEE Antennas and Propagation Society Symposium, 2004, vol. 3, pp. 2879–2882. DOI: 10.1109/APS.2004.1331978.
• 151. Colgan M.A., Mirotznik M.S. Design and Fabrication of 3D Wire Grid Antenna an Integrated Method for Optimization in Constrained Volumes. 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, 2020, pp. 1553–1554. DOI: 10.1109/IEEECONF35879.2020.9329555.
• 152. Chao H.H., Strait B.S. Computer programs for radiation and scattering by arbitrary configurations of bent wires. Syracuse University, New York, Department of Electrical Engineering, 1970.
• 153. Richmond J.H. Computer program for thin-wire structures in a homogeneous conducting medium. NASA Technical Reports Server (NTRS), 1974.
• 154. Coffey E., Thomas D. Wire grid modeling with interactive graphics. 1985 Antennas and Propagation Society International Symposium, 1985, pp. 269–271. DOI: 10.1109/APS.1985.1149504.
• 155. Tam D.W.S., Azu C. A computer-aided design technique for EMC analysis. Proceedings of International Symposium on Electromagnetic Compatibility, 1995, pp. 234–235. DOI: 10.1109/ISEMC.1995.523553.
• 156. Lee K.S.H., Marin L., Castillo J.P. Limitations of Wire-Grid Modeling of a Closed Surface. IEEE Transactions on Electromagnetic Compatibility, 1976, vol. EMC-18, no. 3, pp. 123–129. DOI: 10.1109/TEMC.1976.303482.
• 157. Ludwig A. Wire grid modeling of surfaces. IEEE Transactions on Antennas and Propagation, 1987, vol. 35, no. 9, pp. 1045–1048. DOI: 10.1109/TAP.1987.1144220.
• 158. Paknys R.J. The near field of a wire grid model. IEEE Transactions on Antennas and Propagation, 1991, vol. 39, no. 7, pp. 994–999. DOI: 10.1109/8.86920.
• 159. Rubinstein A., Rachidi F., Rubinstein M. On wiregrid representation of solid metallic surfaces. IEEE Transactions on Electromagnetic Compatibility, 2005, vol. 47, no. 1, pp. 192–195. DOI: 10.1109/TEMC.2004.838230.
• 160. Rubinstein A., Rubinstein M., Rachidi F. A physical interpretation of the equal area rule. IEEE Transactions on Electromagnetic Compatibility, 2006, vol. 48, no. 2, pp. 258–263. DOI: 10.1109/TEMC.2006.873861.
• 161. Rubinstein A., Rostamzadeh C., Rubinstein M., Rachidi F. On the use of the equal area rule for the wire-grid representation of metallic surfaces. 2006 17th International Zurich Symposium on Electromagnetic Compatibility, 2006, pp. 212–215. DOI: 10.1109/EMCZUR.2006.214907.
• 162. Golden T. Equivalent Wire-Grids for the Electromagnetic Modeling of Conducting Surfaces. 2022.
• 163. Trueman C.W., Kubina S.J. Fields of complex surfaces using wire grid modelling. IEEE Transactions on Magnetics, 1991, vol. 27, no. 5, pp. 4262–4267. DOI: 10.1109/20.105043.
• 164. Awan Z.A., Rizvi A.A. Effects of Random Positioning Errors Upon Electromagnetic Characteristics of a Wire Grid. Journal of Electromagnetic Waves and Applications, 2011, vol. 25, no. 2, pp. 351–364. DOI: 10.1163/156939311794362768.
• 165. Tulyathan P., Newman E. The circumferential variation of the axial component of current in closely spaced thinwire antennas. IEEE Transactions on Antennas and Propagation, 1979, vol. 27, no. 1, pp. 46–50. DOI: 10.1109/TAP.1979.1142035.
• 166. Sarkar T., Siarkiewicz K., Stratton R. Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems. IEEE Transactions on Antennas and Propagation, 1981, vol. 29, no. 6, pp. 847–856. DOI: 10.1109/TAP.1981.1142695.
• 167. Ferguson T.R., Balestri R.J. Solution of Large Wire Grid Moments Problems. IEEE 1976 International Symposium on Electromagnetic Compatibility, 1976, pp. 1–5. DOI: 10.1109/ISEMC.1976.7568690.
• 168. Yung E.K.N., Law C.L. Scattering of EM waves by a wire grid of linear and non-linear wire segments. Antennas and Propagation Society Symposium 1991 Digest, 1991, vol. 2, pp. 806–809. DOI: 10.1109/APS.1991.174967.
• 169. Burton M., Kashyap S. Using software to push back the limits of the moment method. Antennas and Propagation Society Symposium 1991 Digest, 1991, vol. 3, pp. 1504–1507. DOI: 10.1109/APS.1991.175137.
• 170. Shaeffer J. Million plus unknown MOM LU factorization on a PC. 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2015, pp. 62–65. DOI: 10.1109/ICEAA.2015.7297075.
• 171. Ferguson T., Lehman T., Balestri R. Efficient solution of large moments problems: Theory and small problem results. IEEE Transactions on Antennas and Propagation, 1976, vol. 24, no. 2, pp. 230–235. DOI: 10.1109/TAP.1976.1141314.
• 172. Fourie A.P.C., Nitch D.C. A fast sparse iterative method (SIM) for method of moments. Proceedings of the IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting, 1994, vol. 2, pp. 1146–1149. DOI: 10.1109/APS.1994.407888.
• 173. Fourie A.P.C., Nitch D.C. Comparing the sparse iterative method (SIM) with the banded Jacobi and conjugate gradient techniques. Proceedings of the IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting, 1994, vol. 2, pp. 1181–1184. DOI: 10.1109/APS.1994.407879.
• 174. Davidson D.B. Parallel algorithms for electromagnetic moment method formulations. Diss. Stellenbosch: Stellenbosch University, 1991.
• 175. Rubinstein A., Rachidi F., Rubinstein M., Reusser B. A parallel implementation of NEC for the analysis of large structures. IEEE Transactions on Electromagnetic Compatibility, 2003, vol. 45, no. 2, pp. 177–188. DOI: 10.1109/TEMC.2003.810806.
• 176. Excell P.S., Porter G.J., Tang Y.K., Yip K.W. Reworking of two standard moment-method codes for execution on parallel processors. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 1995, vol. 8, pp. 243–248. DOI: 10.1002/jnm.1660080309.
• 177. Reeve J. Running SuperNEC on the 22 processor ibm-sp2 at Southampton University. The Applied Computational Electromagnetics Society Journal (ACES), 2022, vol. 13, pp. 99–106.
• 178. Topa T., Karwowski A., Noga A. Using GPU With CUDA to Accelerate MoM-Based Electromagnetic Simulation of Wire-Grid Models. IEEE Antennas and Wireless Propagation Letters, 2011, vol. 10, pp. 342–345. DOI: 10.1109/LAWP.2011.2144557.