Algorithm for transforming antenna electromagnetic near-field measured on spherical surface into far-field based on direct calculation of Stratton and Chu formulas

Authors

  • Nikolay V. Anyutin All-Russia Research Institute of Physicotechnical and Radio Measurements (VNIIFTRI), Russian Federation https://orcid.org/0000-0002-4957-3606
  • Kirill I. Kurbatov All-Russia Research Institute of Physicotechnical and Radio Measurements (VNIIFTRI), Russian Federation
  • Ivan M. Malay All-Russia Research Institute of Physicotechnical and Radio Measurements (VNIIFTRI), Russian Federation https://orcid.org/0000-0003-3148-7336
  • Mihail A. Ozerov All-Russia Research Institute of Physicotechnical and Radio Measurements (VNIIFTRI), Russian Federation

DOI:

https://doi.org/10.3103/S0735272719030026

Keywords:

antenna measurements, radiation pattern, near-field, amplitude-phase distribution, spherical scanning

Abstract

This study examines the possibility of direct calculation of vector forms of Kirchhoff’s integral in algorithms of electromagnetic near-field to far-field transformation of antenna harmonic radiation. A simple algorithm based on the integral derived from the Stratton and Chu formulas is proposed for the spherical scanning scheme of electromagnetic near-field. Method errors of the proposed algorithm stipulated by the assumptions made in the process of its derivation are investigated by mathematical simulation. The total error is estimated in experiments on reconstruction of antenna amplitude radiation patterns. For comparison, the results of the classical algorithm performance based on electric field expansion in terms of spherical modes are presented in all experiments. It has been shown that the accuracy of the proposed algorithm in comparison with the classical algorithm is not inferior, the programming complexity is lower, while the execution speed is higher on condition of the reconstruction of radiation pattern only in principal sections.

References

POTEKHIN, A.I. Certain Problems of Electromagnetic Wave Diffraction [in Russian]. Moscow: Sov. Radio, 1948.

YAGHJIAN, A. “An overview of near-field antenna measurements,” IEEE Trans. Antennas Propag., v.34, n.1, p.30, 1986. DOI: https://doi.org/10.1109/TAP.1986.1143727.

BOESMAN, B.; PISSOORT, D.; GIELEN, G.; VANDENBOSCH, G.A.E. “Fast and efficient near-field to near-field and near-field to far-field transformation based on the spherical wave expansion,” Proc. of IEEE Int. Symp. on Electromagnetic Compatibility, EMC, 16-22 Aug. 2015, Dresden, Germany. IEEE, 2015, p.529-534. DOI: https://doi.org/10.1109/ISEMC.2015.7256218.

D’AGOSTINO, Francesco; FERRARA, Flaminio; GENNARELLI, Claudio; GUERRIERO, Rocco; MIGLIOZZI, Massimo. “Two effective approaches to correct the positioning errors in a spherical near-field-far-field transformation,” Electromagnetics, v.36, n.2, p.78, 2016. DOI: https://doi.org/10.1080/02726343.2016.1136018.

NEITZ, Ole; MAUERMAYER, Raimund A.M.; WEITSCH, Yvonne; EIBERT, Thomas F. “A propagating plane-wave-based near-field transmission equation for antenna gain determination from irregular measurement samples,” IEEE Trans. Antennas Propag., v.65, n.8, p.4230, 2017. DOI: https://doi.org/10.1109/TAP.2017.2712180.

CORNELIUS, R.; HEBERLING, D. “Spherical wave expansion with arbitrary origin for near-field antenna measurements,” IEEE Trans. Antennas Propag., v.65, n.8, p.4385, 2017. DOI: https://doi.org/10.1109/TAP.2017.2708099.

MAUERMAYER, R.A.M.; EIBERT, T.F. “Spherical field transformation above perfectly electrically conducting ground planes,” IEEE Trans. Antennas Propag., v.66, n.3, p.1465, 2018. DOI: https://doi.org/10.1109/TAP.2018.2794406.

D’ELIA, G.; LEONE, G.; PIERRI, R.; SCHIRINZI, G. “New method of far-field reconstruction from Fresnel field,” Electron. Lett., v.20, n.8, p.342, 1984. DOI: https://doi.org/10.1049/el:19840232.

PETRE, P.; SARKAR, T.K. “A planar near-field to far-field transformation using an equivalent magnetic current approach,” IEEE Antennas Propag. Soc. Int. Symp. Dig., 18-25 Jul. 1992, Chicago, USA. IEEE, 1992, p.1534-1537. DOI: https://doi.org/10.1109/APS.1992.221746.

YAMAGUCHI, Ryo; KIMURA, Yasuko; KOMIYA, Kazuhiro; CHO, Keizo. “A far-field measurement method for large size antenna by using synthetic aperture antenna,” Proc. of 3rd European Conf. on Antennas and Propagation, 23-27 Mar. 2009, Berlin, Germany. IEEE, 2009, p.1730-1733. URI: https://ieeexplore.ieee.org/document/5067950.

QUIJANO, J.L.A.; VECCHI, G. “Field and source equivalence in source reconstruction on 3D surfaces,” PIER, v.103, p.67, 2010. DOI: http://dx.doi.org/10.2528/PIER10030309.

KRIVOSHEEV, Yu.V.; SHISHLOV, A.V.; TOBOLEV, A.K.; VILENKO, I.L. “Fresnel field to far field transformation using sparse field samples,” Proc. of Int. Conf. on Mathematical Methods in Electromagnetic Theory, 28-30 Aug. 2012, Kyiv, Ukraine. IEEE, 2012, p.237-242. DOI: https://doi.org/10.1109/MMET.2012.6331237.

EIBERT, T.F.; KILIC, E.; LOPEZ, C.; MAUERMAYER, R.A.M.; NEITZ, O.; SCHNATTINGER, G. “Electromagnetic field transformations for measurements and simulations,” PIER, v.151, p.127, 2015. DOI: http://dx.doi.org/10.2528/PIER14121105.

EIBERT, T.F.; VOJVODIĆ, D.; HANSEN, T.B. “Fast inverse equivalent source solutions with directive sources,” IEEE Trans. Antennas Propag., v.64, n.11, p.4713, 2016. DOI: https://doi.org/10.1109/TAP.2016.2606405.

PAULUS, A.; KNAPP, J.; EIBERT, T.F. “Phaseless near-field far-field transformation utilizing combinations of probe signals,” IEEE Trans. Antennas Propag., v.65, n.10, p.5492, 2017. DOI: https://doi.org/10.1109/TAP.2017.2735463.

TAI, C.-T. Dyadic Green Functions in Electromagnetic Theory. IEEE, 1994.

BAKHRAKH, L.D.; KOLOSOV, Yu.A.; KUROCHKIN, A.P. “Determination of antenna far-field from the values of near-field,” Antenny, n.24, p.3, 1976.

SILVER, S. Microwave Antenna Theory and Design, Book 19. IET, 1984. DOI: https://doi.org/10.1049/PBEW019E.

BROWN, J. “A theoretical analysis of some errors in aerial measurements,” Proc. IEE - Part C: Monographs, v.105, n.8, p.343, 1958. DOI: https://doi.org/10.1049/pi-c.1958.0044.

LEE, Jeong-Seok; SONG, Tae-Lim; DU, Jin-Kyoung; KOO, Tae-Wan; YOOK, Jong-Gwan. “A study on near-field to far-field transformation using Stratton-Chu formula,” J. Korean Institute Electromagnetic Eng. Sci., v.24, n.3, p.316, 2013. DOI: https://doi.org/10.5515/KJKIEES.2013.24.3.316.

DING, Yu; LIN, Yang; DE-MIN, Fu; QI-ZHONG, Liu. “Analysis and simulation of system phase errors in planar near-field measurements on ultra-low sidelobe antennas,” Proc. of IEEE Int. Conf. on Ultra-Wideband, 20-23 Sept. 2010, Nanjing, China. IEEE, 2010, v.1, p.1-4. DOI: https://doi.org/10.1109/ICUWB.2010.5614371.

http://www.skard.ru/?page_id=5038.

GIBSON, W.C. The Method of Moments in Electromagnetics, 2nd ed. CRC Press, 2014. URI: https://www.crcpress.com/The-Method-of-Moments-in-Electromagnetics/Gibson/p/book/9781482235791.

BAKHRAKH, L.D.; KREMENETSKII, S.D.; KUROCHKIN, A.P.; ET AL. Methods of Parametric Measurements of Radiating System in Near-Field [in Russian]. Leningrad: Nauka, 1985.

Published

2019-03-22

Issue

Section

Research Articles