volume | PIER Journals

Abstract

In this paper, the theoretical foundations of near-field-far- field transformations with spiral scannings are revisited and a unified theory is provided. This is accomplished by introducing a sampling representation of the radiated electromagnetic field on a rotational surface from the knowledge of a nonredundant number of its samples on a spiral wrapping the surface. The obtained results are general, since they are valid for spirals wrapping on quite arbitrary rotational surfaces, and can be directly applied to the pattern reconstruction via near-field-far-field transformation techniques. Numerical tests are reported for demonstrating the accuracy of the approach and its stability with respect to random errors affecting the data.

1. 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. AP-44, 1049-1051, 1996.
doi:10.1109/8.504314

2. 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., Vol. 149, 119-123, 2002.
doi:10.1049/ip-map:20020265

3. Bucci, O. M., C. Gennarelli, G. Riccio, and C. Savarese, "Probe compensated NF-FF transformation with helicoidal scanning," J. Electromagn. Waves Appl., Vol. 14, 531-549, 2000.

4. Bucci, O. M., C. Gennarelli, G. Riccio, and C. Savarese, "Nonredundant NF-FF transformation with helicoidal scanning," J. Electromagn. Waves Appl., Vol. 15, 1507-1519, 2001.

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. 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, 1998.
doi:10.1109/8.662654

7. Gennarelli, C., G. Riccio, F. D'Agostino, and F. Ferrara, Near- field-Far-field Transformation Techniques, CUES, 2004.

8. Bucci, O. M., G. D'Elia, and M. D. Migliore, "Advanced field interpolation from plane-polar samples: experimental verification," IEEE Trans. Antennas Propagat., Vol. 46, 204-210, 1998.
doi:10.1109/8.660964

9. Leach, W. M., Jr. and D. T. Paris, "Probe compensated NF measurements on a cylinder," IEEE Trans. Antennas Propagat., Vol. AP-21, 435-445, 1973.
doi:10.1109/TAP.1973.1140520

10. Paris, D. T., W. M. Leach, Jr., and E. B. Joy, "Basic theory of probe-compensated near-field measurements," IEEE Trans. Antennas Propagat., Vol. AP-26, 373-379, 1978.
doi:10.1109/TAP.1978.1141855

11. Bucci, O. M., C. Gennarelli, G. Riccio, and C. Savarese, "Fast and accurate far-field evaluation from a non redundant, finite number of plane-polar measurements," Proc. of 1994 IEEE AP-S Int. Symp., No. 6, 540-543, 1994.

12. Gatti, M. and Y. Rahmat-Samii, "FFT applications to plane- polar near-field antenna measurements," IEEE Trans. Antennas Propagat., Vol. AP-36, 781-791, 1988.
doi:10.1109/8.1180

13. Hansen, J. E., Spherical Near-field Antenna Measurements, IEE Electromagnetic Waves Series, 1998.

14. Bucci, O. M., F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, "Data reduction in the NF-FF transformation technique with spherical scanning," J. Electromagn. Waves Appl., Vol. 15, 755-775, 2001.

15. Arena, A., F. D'Agostino, C. Gennarelli, and G. RiccioF. D'Agostino, C. Gennarelli, and G. Riccio, ``Probe compensated NF-FF transformation with spherical scanning from a minimum number of data, "'' Proc. of G. Ronchi'' Foundation," Proc. of ``G. Ronchi Foundation, Vol. LIX, 311-326, 2004.

16. Bucci, O. M. and G. Franceschetti, "On the spatial bandwidth of scattered fields," IEEE Trans. Antennas Propagat., Vol. AP-35, 1445-1455, 1987.
doi:10.1109/TAP.1987.1144024

Prof. Francesco D'Agostino

Professor Claudio Gennarelli

Professor Giovanni Riccio

Dr. Catello Savarese