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NUFFT-ACCELERATED PLANE-POLAR (ALSO PHASELESS) NEAR-FIELD/FAR-FIELD TRANSFORMATION

By A. Capozzoli, C. Curcio, and A. Liseno

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Abstract:
The paper introduces the use of Non-Uniform Fast Fourier Transform (NUFFT) routines in ``complex'' (i.e., amplitude and phase) and phaseless Near-Field/Far-Field transformations. The use of those routines results computationally very convenient when non-regular field sampling prevents the use of standard FFTs. The attention is focused on a plane-polar acquisition geometry. Numerical and experimental results show the effectiveness of the developed algorithms.

Citation:
A. Capozzoli, C. Curcio, and A. Liseno, "NUFFT-Accelerated Plane-Polar (Also Phaseless) Near-Field/Far-Field Transformation," Progress In Electromagnetics Research M, Vol. 27, 59-73, 2012.
doi:10.2528/PIERM12091505

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

2. 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 Propag., Vol. 46, No. 3, 351-359, Mar. 1998.
doi:10.1109/8.662654

3. Bucci, O. M., C. Gennarelli, and C. Savarese, "Fast and accurate near-field-far-field transformation by sampling interpolation of plane-polar measurements," IEEE Trans. Antennas Propag., Vol. 39, No. 1, 48-55, Jan. 1991.
doi:10.1109/8.64434

4. D'Agostino, F. , F. Ferrara, C. Gennarelli, R. Guerriero, M. Migliozzi, and , "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

5. Ferrara, F. , C. Gennarelli, R. Guerriero, R. Riccio, and C. Savarese, "An efficient near-field to far-field transformation using the planar wide-mesh scanning," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 3, 341-357, 2007.
doi:10.1163/156939307779367404

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

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

8. Capozzoli, A. , C. Curcio, A. Liseno, and P. Vinetti, "Field sampling and field reconstruction: A new perspective," Radio Sci., Vol. 45, RS6004, 31, 2010, doi: 10.1029/2009RS004298.

9. Capozzoli, A., C. Curcio, G. D'Elia, and A. Liseno, "Singular-value optimization in plane-polar near-field antenna characterization," IEEE Antennas Prop. Mag., Vol. 52, No. 2, 103-112, Apr. 2010.

10. Capozzoli, A., C. Curcio, and A. Liseno, "Multi-frequency, multi-resolution and probe compensated advanced near-field antenna characterization," Proc. of the Europ. Conf. on Antennas Prop., 2542-2546, Prague, Czech Republic, Mar. 26-30, 2012.

11. Gatti, M. S. and Y. Rahmat-Samii, "FFT applications to plane-polar near-field antenna measurements," IEEE Trans. Antennas Propag., Vol. 36, No. 6, 781-791, Jun. 1988.
doi:10.1109/8.1180

12. Yaccarino, R. G., 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 Propag., Vol. 42, No. 2, 196-204, Feb. 1994.
doi:10.1109/8.277213

13. Capozzoli, A. , C. Curcio, G. D'Elia, A. Liseno, and P. Vinetti, "Fast CPU/GPU pattern evaluation of irregular arrays," Applied Comput. Electromagn. Soc. J., Vol. 25, No. 4, 355-372, Apr. 2010.

14. Capozzoli, A., C. Curcio, A. Liseno, and P. Vinetti, "Fast interpolation accelerated on GPU for SAR backprojection," Proc. of the 27th Annual Rev. of Progr. in Appl. Comput. Electromagn., 1-6, Columbus, OH, Apr. 10-14, 2012.

15. Capozzoli, A., C. Curcio, A. Liseno, "Fast GPU-based interpolation for SAR Backprojection," Progress In Electromagnetics Research, Vol. 133, 259-283, 2013.

16. Fourmont, K., "Non-equispaced fast Fourier transforms with applications to tomography," J. Fourier Anal. Appl., Vol. 9, No. 5, 431-450, Sep. 2003.
doi:10.1007/s00041-003-0021-1

17. Greengard, L. and J.-Y. Lee, "Accelerating the nonuniform fast Fourier transform," SIAM Review, Vol. 46, No. 3, 443-454, Sep. 2004.
doi:10.1137/S003614450343200X

18. Lee, J.-Y. and L. Greengard, "The type 3 nonuniform FFT and its applications," J. Comput. Phys., Vol. 206, No. 1, 1-5, Jun. 2005.
doi:10.1016/j.jcp.2004.12.004

19. Capozzoli, A., C. Curcio, and A. Liseno, "GPU-based ω-k tomographic processing by 1D non-uniform FFTs," Progress In Electromagnetics Research B, Vol. 23, 279-298, 2012.

20. Rahmat-Samii, Y., V. Galindo-Israel, and R. Mittra, "A plane-polar approach for far-field construction from near-field measurements," IEEE Trans. Antennas Propag., Vol. 28, No. 2, 216-230, Mar. 1980.
doi:10.1109/TAP.1980.1142316

21. Capozzoli, A., C. Curcio, G. D'Elia, and A. Liseno, "Phaseless antenna characterization by effective aperture field and data representations," IEEE Trans. Antennas Propag., Vol. 57, No. 1, 215-230, Jan. 2009.
doi:10.1109/TAP.2008.2009647

22. Landau, H. J. and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty --- III: The dimension of essentially time- and band-limited signals," Bell Syst. Tech. J., Vol. 41, 1295-1336, Jul. 1962.

23. Frieden, B. R., "Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions," Progress in Optics, Vol. 9, 311-407, E.Wolf, Ed., North-Holland, Amsterdam,1971.

24. Yaccarino, R. G. and Y. Rahmat-Samii, "Phaseless bi-polar planar near-field measurements and diagnostics of array antennas," IEEE Trans. Antennas Propag., Vol. 47, No. 3, 574-583, Mar. 1999.
doi:10.1109/8.768794

25. Ribiere-Tharaud, N., M. Lambert, and P. Levesque, "Wideband validation of a phase retrieval process applied to infrared planar near-field measurements," Progress In Electromagnetics Research B, Vol. 23, 39-54, Jan. 2010.
doi:10.2528/PIERB10040906


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