volume | PIER Journals

Abstract

An effective procedure is developed in this paper to compensate the probe positioning errors when using a near-field to far-field transformation technique with helicoidal scanning for long antennas. It is based on a prolate ellipsoidal modelling of the antenna under test and makes use of an iterative scheme to retrieve the uniformly distributed helicoidal near-field data from the irregularly spaced acquired ones. Once these data have been recovered, those required to perform a standard near-field--far-field transformation with cylindrical scanning are efficiently determined via an optimal sampling interpolation algorithm. Some numerical tests are reported to assess the accuracy of the approach and its robustness with respect to random errors affecting the data. At last, the validity of the developed technique is further confirmed by the experimental tests performed at the Antenna Characterization Lab of the University of Salerno.

1. Bolomey, J. C., et al., "Rapid near-field antenna testing via array of modulated scattering probes," IEEE Trans. Antennas Propagat., Vol. 36, 804-814, June 1988.
doi:10.1109/8.1182

2. Yaccarino, R. G., L. I. Williams, and Y. Rahmat-Samii, "Linear spiral sampling for the bipolar planar antenna measurement technique," IEEE Trans. Antennas Propagat., Vol. 44, 1049-1051, 1996.
doi:10.1109/8.504314

3. Bucci, O. M., C. Gennarelli, G. Riccio, and C. Savarese, "Nonredundant NF-FF transformation with helicoidal scanning," Journal of Electromagnetic Waves and Applications, Vol. 15, No. 11, 1507-1519, 2001.
doi:10.1163/156939301X00076

4. Bucci, O. M., F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, "Probe compensated FF reconstruction by NF planar spiral scanning," IEE Proc. --- Microw. Ant. Prop., Vol. 149, 119-123, April 2002.

5. Bucci, O. M., F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, "NF-FF transformation with spherical spiral scanning," IEEE Antennas Wireless Propagat. Lett., Vol. 2, 263-266, 2003.
doi:10.1109/LAWP.2003.820710

6. D'Agostino, F., C. Gennarelli, G. Riccio, and C. Savarese, "Theoretical foundations of near-field-far-field transformations with spiral scannings," Progress In Electromagnetics Research, Vol. 61, 193-214, 2006.
doi:10.2528/PIER06021401

7. D'Agostino, F., F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, "Near-field-far-field transformation technique with helicoidal scanning for elongated antennas," Progress In Electromagnetics Research B, Vol. 4, 249-261, 2008.
doi:10.2528/PIERB08011503

8. D'Agostino, F., F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, "An effective NF-FF transformation technique with planar spiral scanning tailored for quasi-planar antennas," IEEE Trans. Antennas Propagat., Vol. 56, 2981-2987, September 2008.
doi:10.1109/TAP.2008.928786

9. D'Agostino, F., F. Ferrara, C. Gennarelli, R. Guerriero, M. Migliozzi, and G. Riccio, "A nonredundant near-field to far-field transformation with spherical spiral scanning for nonspherical antennas," The Open Electr. & Electronic Engin. J., Vol. 3, 1-8, 2009.
doi:10.2174/1874129000903010001

10. D'Agostino, F., F. Ferrara, J. A. Fordham, C. Gennarelli, R. Guerriero, M. Mi-gliozzi, G. Riccio, and C. Rizzo, "An effective NF-FF transformation technique for elongated antennas using a fast helicoidal scan," IEEE Antennas Propagat. Magaz., Vol. 51, 134-141, 2009.
doi:10.1109/MAP.2009.5338700

11. D'Agostino, F., F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, "Laboratory tests assessing the effectiveness of the NF-FF transformation with helicoidal scanning for electrically long antennas," Progress In Electromagnetics Research, Vol. 98, 375-388, 2009.
doi:10.2528/PIER09092303

12. D'Agostino, F., F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, "The unified theory of near-field-far-field transformations with spiral scannings for nonspherical antennas," Progress In Electromagnetics Research B, Vol. 14, 449-477, 2009.
doi:10.2528/PIERB09031808

13. Bucci, O. M., C. Gennarelli, and C. Savarese, "Representation of electromagnetic fields over arbitrary surfaces by a finite and nonredundant number of samples," IEEE Trans. Antennas Propagat., Vol. 46, 351-359, March 1998.
doi:10.1109/8.662654

14. Dutt, A. and V. Rohklin, "Fast Fourier transforms for nonequispaced data," Proc. of SIAM J. Scie. Comput., Vol. 14, 1369-1393, November 1993.

15. Beylkin, G., "On the fast Fourier transform of functions with singularities," Appl. Comput. Harmonic Anal., Vol. 2, 363-381, 1995.
doi:10.1006/acha.1995.1026

16. Wittmann, R. C., B. K. Alpert, and M. H. Francis, "Near-field antenna measurements using nonideal measurement locations," IEEE Trans. Antennas Propagat., Vol. 46, 716-722, May 1998.
doi:10.1109/8.668916

17. Wittmann, R. C., B. K. Alpert, and M. H. Francis "Near-field, spherical scanning antenna measurements with nonideal probe locations," IEEE Trans. Antennas Propagat., Vol. 52, 2184-2186, August 2004.

18. Bucci, O. M., C. Gennarelli, and C. Savarese, "Interpolation of electromagnetic radiated fields over a plane from nonuniform samples," IEEE Trans. Antennas Propagat., Vol. 41, 1501-1508, November 1993.
doi:10.1109/8.267349

19. Bucci, O. M., C. Gennarelli, G. Riccio, and C. Savarese, "Electromagnetic fields interpolation from nonuniform samples over spherical and cylindrical surfaces," IEE Proc. Microw. Antennas Propagat., Vol. 141, 77-84, April 1994.

20. Ferrara, F., C. Gennarelli, G. Riccio, and C. Savarese, "NF-FF transformation with cylindrical scanning from nonuniformly distributed data," Microw. Optical Tech. Lett., Vol. 39, 4-8, October 2003.

21. D'Agostino, F., F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, "On the compensation of probe positioning errors when using a nonredundant cylindrical NF-FF transformation," Progress In Electromagnetics Research B, Vol. 20, 321-335, 2010.
doi:10.2528/PIERB10032402

22. Leach, W. M., Jr. and D. T. Paris, "Probe compensated near-field measurements on a cylinder," IEEE Trans. Antennas Propagat., Vol. 21, 435-445, July 1973.

23. Costanzo, S. and G. Di Massa, "Far-field reconstruction from phaseless near-field data on a cylindrical helix," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 8, 1057-1071, 2004.
doi:10.1163/1569393042955414

Prof. Francesco D'Agostino

Dr. Flaminio Ferrara

Professor Claudio Gennarelli

Professor Rocco Guerriero

Dr. Massimo Migliozzi