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IEEE Transactions on Antennas and Propagation
Volume 46 Number 5, May 1998

Near-Field Antenna Measurements Using Nonideal Measurement Locations

Page 716.

Abstract:

We introduce a near-field to far-field transformation algorithm that relaxes the usual restriction that data points be located on a plane rectangular grid. Computational complexity is {al {O}}( N\log N) where N is the number of data points. This algorithm allows efficient processing of near-field data with known probe position errors. Also, the algorithm is applicable to other measurement approaches such as plane-polar scanning, where data are collected intentionally on a nonrectangular grid.

References

1. R. C. Wittmann, B. K. Alpert, and M. H. Francis, "Planar near-field antenna measurements using nonideal measurement locations," in Proc. Antenna Measurement Tech. Assoc., Seattle, WA, Sept. 30-Oct. 6, 1996, pp. 74-77.
2. A. Dutt and V. Rokhlin, "Fast Fourier transforms for nonequispaced data," SIAM J. Scientific Comput., vol. 14, pp. 1369-1393, Nov. 1993.
3. G. Beylkin, "On the fast Fourier transform of functions with singularities," Appl. Computat. Harmonic Anal., vol. 2, pp. 363-381, 1995.
4. R. E. Kleinman and P. M. van den Berg, "Iterative methods for solving integral equations," in PIER 5--Application of Conjugate Gradient Method to Electromagnetics and Signal Analysis, T. K. Sarkar, Ed.New York: Elsevier, 1991, ch. 3.
5. E. B. Joy and R. E. Wilson, "A simplified technique for probe position error compensation in planar surface near-field measurements," in Proc. Antenna Measurement Techniques Assoc., Las Cruces, NM, Oct. 1982, pp. 14-1-14-10.
6. G. H. Golub and C. F. Van Loan, Matrix Computations.Baltimore, MD: Johns Hopkins Univ. Press, 1989.
7. S. Ponnapalli, "Near-field to far-field transformation utilizing the conjugate gradient method," in PIER 5 Application of Conjugate Gradient Method to Electromagnetics and Signal Analysis, T. K. Sarkar, Ed.New York: Elsevier, 1991, ch. 11.
8. P. Petre and T. Sarkar, "Planar near-field to far-field transformation using an equivalent magnetic current approach," IEEE Trans. Antennas Propagat., vol. 40, pp. 1348-1356, Nov. 1992.
9. S. Blanch, R. G. Yaccarino, J. Rameu, and Y. Rahmat-Samii, "Near-field to far-field transformation of bipolar measurements by equivalent magnetic current approach," in IEEE AP-S Int. Symp. Dig., Baltimore, MD, July 1996, vol. 1, pp. 561-564.
10. A. C. Newell, "Error analysis techniques for planar near-field measurements," IEEE Trans. Antennas Propagat., vol. 36, pp. 754-768, June 1988.
11. O. M. Bucci, C. Gennarelli, and C. Savarese, "Fast and accurate near-field far-field transformation by sampling interpolation of plane-polar measurements," IEEE Trans. Antennas Propagat., vol. 39, pp. 48-55, Jan. 1991.
12. L. I. Williams, Y. Rahmat-Samii, and R. G. Yaccarino, "The bi-polar planar near-field measurement technique--Part I: Implementation and measurement comparisons," IEEE Trans. Antennas Propagat., vol. 42, pp. 184-195, Feb. 1994.
13. R. G. Yaccarino, Y. Rahmat-Samii, and L. I. Williams, "The bi-polar planar near-field measurement technique--Part II: Near-field to far-field transformation and holographic imaging methods," IEEE Trans. Antennas Propagat., vol. 42, pp. 196-204, Feb. 1994.
14. L. I. Williams, Y. Rahmat-Samii, and R. G. Yaccarino, "A comparison of polar, thinned-polar, and linear spiral sampling using the UCLA bi-polar planar near-field measurement system," in Proc. Antenna Meas. Tech. Assoc., Williamsburg, VA, Nov. 1995, pp. 358-363.
15. A. D. Yaghjian and M. B. Woodworth, "Sampling in plane-polar coordinates," IEEE Trans. Antennas Propagat., vol. 44, pp. 696-700, May 1996.
16. L. E. Corey, "Analytical compensation for near-field probe positioning errors in calculated far-field patterns," Ph.D. dissertation, Georgia Inst. Tech., Atlanta, May 1980.
17. L. E. Corey and E. B. Joy, "On computation of electromagnetic fields on planar surfaces from fields on nearby surfaces," IEEE Trans. Antennas Propagat., vol. AP-29, pp. 402-404, Mar. 1981.
18. P. K. Agrawal, "A method to compensate for probe positioning errors in an antenna near-field facility," in Proc. IEEE Antennas Propagat. Int. Symp., Albuquerque, NM, July 1982, pp. 218-221.
19. L. A. Muth and R. L. Lewis, "A general technique to correct probe-position errors in planar near-field measurements to arbitrary accuracy," IEEE Trans. Antennas Propagat., vol. 38, pp. 1925-1932, Dec. 1990.
20. L. A. Muth, "General analytic correction for probe-position errors in spherical near-field measurements," J. Res. Nat. Inst. Stand. Technol., vol. 96, pp. 391-410, July/Aug. 1991.
21. L. A. Muth, "Probe-position error correction in planar near field measurements at 60 GHz: Experimental verification," J. Res. Nat. Inst. Stand. Technol., vol. 97, pp. 273-297, Mar.-Apr. 1992.
22. L. A. Muth, "General order N analytic correction of probe-position errors in planar near-field measurements," in Proc. Antenna Measurement Tech. Assoc., Williamsburg, VA, Nov. 1995, pp. 331-335.
23. M. H. Francis, "A comparison of k-correction and Taylor series correction for probe-position errors in planar near-field scanning," in Proc. Antenna Measurement Tech. Assoc., Williamsburg, VA, Nov. 1995, pp. 341-347.
24. D. M. Kerns, "Plane-wave scattering-matrix theory of antennas and antenna-antenna interaction," Nat. Bur. Stand. (U.S.) Monograph 162, 1981.
25. J. Stoer and R. Bulirsch, Introduction to Numerical Analysis.New York: Springer-Verlag, 1980.