PIER M
 
Progress In Electromagnetics Research M
ISSN: 1937-8726
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 42 > pp. 71-83

MATRIX METHOD FOR ANTENNA PLANE WAVE SPECTRUM CALCULATION USING IRREGULARLY DISTRIBUTED NEAR-FIELD DATA : APPLICATION TO FAR-FIELD ASSESSMENT

By M. Farouq, M. Serhir, and D. Picard

Full Article PDF (383 KB)

Abstract:
The matrix method for the calculation of antenna far-field using irregularly distributed near-field measurement data is presented. The matrix method is based on the determination of the plane wave expansion (PWE) coefficients from the irregular near-field samples using a matrix form that connects the radiated field with the corresponding plane wave spectrum. The plane wave spectrum is used to determine the far-field of the antenna under test (AUT). The matrix method has been implemented, and its potentialities are presented. The validations using analytical radiating model (dipoles array) and experimental measurement (X band standard gain horn antenna) results have demonstrated the efficiency and stability of the proposed method.

Citation:
M. Farouq, M. Serhir, and D. Picard, "Matrix Method for Antenna Plane Wave Spectrum Calculation Using Irregularly Distributed Near-Field Data : Application to Far-Field Assessment," Progress In Electromagnetics Research M, Vol. 42, 71-83, 2015.
doi:10.2528/PIERM15010902

References:
1. Yaghjian, A. D., "An overview of near-field antenna measurements," IEEE Trans. Antennas Propagat., Vol. 34, No. 1, 30-45, 1986.
doi:10.1109/TAP.1986.1143727

2. Joy, E. B. and D. Paris, "Spatial sampling and filtering in near-field measurements," IEEE Trans. Antennas Propagat., Vol. 34, No. 3, 253-261, 1972.
doi:10.1109/TAP.1972.1140193

3. Leach, Jr., W. and D. Paris, "Probe compensated near-field measurements on a cylinder," IEEE Trans. Antennas Propagat., Vol. 21, No. 4, 435-445, 1973.
doi:10.1109/TAP.1973.1140520

4. Bucci, O. M. and C. Gennarelli, "Use of sampling expansions in near-field-far-field transformation: The cylindrical case," IEEE Trans. Antennas Propagat., Vol. 36, No. 6, 830-835, 1988.
doi:10.1109/8.1185

5. Wacker, P. F., "Non-planar near-field measurements: Spherical scanning," NBSIR 75-809, Nat. Bur. Stand. Boulder, CO, 1975.

6. Hansen, J., Spherical Near-field Antenna Measurements, IEE Electromagnetic Waves Series, London, 1988.
doi:10.1049/PBEW026E

7. Wang, J. J. H., "An examination of the theory and practices of planar near-field measurement," IEEE Trans. Antennas Propagat., Vol. 36, No. 6, 746-753, 1988.
doi:10.1109/8.1176

8. Petre, P. and T. K. Sarkar, "Planar near-field to far-field transformation using an equivalent magnetic current approach," IEEE Trans. Antennas Propagat., Vol. 40, No. 11, 1348-1356, 1992.
doi:10.1109/8.202712

9. Sarkar, T. K. and A. Taaghol, "Near-field to near/far-field transformation for arbitrary near-field geometry utilizing an equivalent electric current and MoM," IEEE Trans. Antennas Propagat., Vol. 47, No. 3, 566-573, 1999.
doi:10.1109/8.768793

10. Taaghol, A. and T. K. Sarkar, "Near-field to near/far-field transformation for arbitrary near-field geometry, utilizing an equivalent magnetic current," IEEE Trans. Electromagnetic Compatibility, Vol. 38, No. 3, 536-542, 1996.
doi:10.1109/15.536088

11. Las-Heras, F., M. R. Pino, S. Loredo, Y. Alvarez, and T. K. Sarkar, "Evaluating near-field radiation patterns of commercial antennas," IEEE Trans. Antennas Propagat., Vol. 54, No. 8, 2198-2207, 2006.
doi:10.1109/TAP.2006.879190

12. Alvarez, Y., F. Las-Heras, and M. R. Pino, "Reconstruction of equivalent currents distribution over arbitrary three-dimensional surfaces based on integral equation algorithms," IEEE Trans. Antennas Propagat., Vol. 55, No. 12, 3460-3468, 2007.
doi:10.1109/TAP.2007.910316

13. Persson, K. and M. Gustafson, "Reconstruction of equivalent currents using a near-field data transformation with radome application," Progress In Electromagnetics Research, Vol. 54, 179-198, 2005.
doi:10.2528/PIER04111602

14. Harrington, R. F., Field Computation by Moment Methods, Oxford University Press, Melboume, 1987.

15. Newell, A. C., "Error analysis techniques for planar near-field measurements," IEEE Trans. Antennas Propagat., Vol. 36, No. 6, 754-768, 1988.
doi:10.1109/8.1177

16. Muth, L. A., "Displacement errors in antenna near-field measurements and their effect on the far field," IEEE Trans. Antennas Propagat., Vol. 36, No. 5, 581-581, 1988.
doi:10.1109/8.192133

17. Hojo, H. and Y. Rahmat-Samii, "Error analysis for bi-polar near-field measurement technique," AP-S Digest Antennas and Propagation Society International Symposium, 1991, Vol. 3, 1442-1445, Jun. 24-28, 1991.

18. Yen, J., "On nonuniform sampling of bandwidth-limited signals," IRE Trans. Circuit Theory, Vol. 3, No. 4, 251-257, 1956.
doi:10.1109/TCT.1956.1086325

19. Rahmat-Samii, Y. and R. Cheung, "Nonuniform sampling techniques for antenna applications," IEEE Trans. Antennas Propagat., Vol. 35, No. 3, 268-279, 1987.
doi:10.1109/TAP.1987.1144092

20. Dehghanian, V., M. Okhovvat, and M. Hakkak, "A new interpolation method for reconstructing non-uniformly spaced samples into uniform ones in planar near-field antenna measurements," IEEE Antennas and Propagation Society International Symposium, 2003, Vol. 3, 207-210, Jun. 22-27, 2003.

21. Dehghanian, V., M. Okhovvat, and M. Hakkak, "A new interpolation technique for the reconstruction of uniformly spaced samples from non-uniformly spaced ones in plane-rectangular near-field antenna measurements," Progress In Electromagnetics Research, Vol. 72, 47-59, 2007.
doi:10.2528/PIER07022603

22. Bucci, O. M., C. Gennarelli, and C. Savarese, "Interpolation of electromagnetic radiated fields over a plane by nonuniform samples," IEEE Trans. Antennas Propagat., Vol. 41, No. 11, 1501-1508, 1993.
doi:10.1109/8.267349

23. Wittmann, R. C., B. K. Alpert, and M. H. Francis, "Near-field antenna measurements using nonideal measurement locations," IEEE Trans. Antennas Propagat., Vol. 46, No. 5, 716-722, 1998.
doi:10.1109/8.668916

24. Marvasti, F., Nonuniform Sampling, Theory and Practice, Kluwer, Norwell, 2001.
doi:10.1007/978-1-4615-1229-5

25. Schmidt, C. H., M. M. Leibfritz, and T. F. Eibert, "Fully probe-corrected near-field far-field transformation employing plane wave expansion and diagonal translation operators," IEEE Trans. Antennas Propagat., Vol. 56, No. 3, 737-746, 2008.
doi:10.1109/TAP.2008.916975

26. Schmidt, C. H. and T. F. Eibert, "Assessment of irregular sampling near-field far-field transformation employing plane-wave field representation," IEEE Magazine Antennas Propagat., Vol. 53, No. 3, 213-219, 2011.
doi:10.1109/MAP.2011.6028465

27. Qureshi, M. A., C. H. Schmidt, and T. F. Eibert, "Adaptive sampling in multilevel plane wave based near-field far-field transformed planar near-field measurements," Progress In Electromagnetics Research, Vol. 126, 481-497, 2012.
doi:10.2528/PIER12020804

28. Schmidt, C. H. and T. F. Eibert, "Multilevel plane wave based near-field far-field transformation for electrically large antennas in free-space or above material halfspace," IEEE Trans. Antennas Propagat., Vol. 57, No. 5, 1382-1390, 2009.
doi:10.1109/TAP.2009.2016699

29. Paige, C. C. and M. A. Saunders, "LSQR: An algorithm for sparse linear equations and sparse least squares," ACM Trans. Mathematical Software, Vol. 8, No. 1, 1982.
doi:10.1145/355984.355989

30. Balanis, C. A., Advanced Engineering Electromagnetics, John Wiley, New York, 1989.


© Copyright 2010 EMW Publishing. All Rights Reserved