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Progress In Electromagnetics Research
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PHASE-ONLY SYNTHESIS OF FLAT APERIODIC REFLECTARRAYS

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

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Abstract:
A phase-only power pattern synthesis technique for at (aperiodic) microstrip reflectarrays with elements arranged on a nonregular lattice is presented. The approach mitigates the typical design issues of reflectarray antennas related to the computational burden and to the possible occurrence of suboptimal solutions which are here even more significant due to the non-regular element lattice. This is done by a convenient two-stage procedure for choosing the starting point of the iterations and by proper representations of the unknowns of the problem. Design constraints on the element positions are also imposed to avoid overlapping as well as too large spacings. The algorithm, accelerated by parallel programming on Graphics Processing Units, has been analyzed against the cases of a pencil-beam and of a shaped-beam involving a typical South America coverage. In order to properly characterize the performance of the synthesis algorithm, it has been applied also to the design of reflectarrays with elements located on a non-regular lattice. The results show that in the case of non-regular lattice better directivities, better coverage behavior and better side-lobe levels are achievable as compared to reflectarrays characterized by a regular lattice.

Citation:
A. Capozzoli, C. Curcio, A. Liseno, and G. Toso, "Phase-Only Synthesis of Flat Aperiodic Reflectarrays," Progress In Electromagnetics Research, Vol. 133, 53-89, 2013.
doi:10.2528/PIER12080109
http://www.jpier.org/PIER/pier.php?paper=12080109

References:
1. Huang, J. and J. A. Encinar, Reflectarray Antennas, J. Wiley & Sons, Hoboken, NJ, 2008.

2. Bialkowski, M. E. and J. A. Encinar, "Reflectarrays: Potentials and challenges," Proc. of the Int. Conf. on Electromagn. in Adv. Appl. , 1050-1053, Turin, Italy, Sep. 17-21, 2007.

3. Encinar, J. A., M. Arrebola, and G. Toso, "A parabolic reflectarray for a bandwidth improved contoured beam coverage," Proc. of the Europ. Conf. on Antennas Prop., Edinburgh, UK, Nov. 11-16, 2007, CD ROM.

4. Capozzoli, A., C. Curcio, G. D'Elia, and A. Liseno, "Fast phase-only synthesis of conformal reflectarrays," IET Microw. Antennas Prop., Vol. 4, No. 12, 1989-2000, Dec. 2010.
doi:10.1049/iet-map.2009.0640

5. Di Maria, A., M. Limbach, R. Horn, and A. Reigber, "Reflectarray membrane study for deployable SAR antenna," Proc. of the Europ. Conf. on Antennas Prop., Berlin, Germany, Mar. 23-27, 2009, CD ROM.

6. Huang, J., "Analysis of a microstrip reflectarray antenna for microspacecraft applications,", TDA Progress Report 42-120, Feb. 15, 1995.

7. Fenech, H., A. Tomatis, D. Serrano, E. Lance, and M. Kalama, Antenna requirements as seen by an operator, Proc. of the Europ. Conf. on Antennas Prop., 3343-3347, Rome, Italy, Apr. 11-15, 2011.

8. Legay, H., B. Salome, E. Labiole, M. A. Milon, D. Cadoret, R. Gillard, R. Chaharmir, and J. Shaker, Reflectarrays for satellite telecommunication antennas, Proc. of the Europ. Conf. on Antennas Prop., 1-6, Edinburgh, UK, Nov. 11-16, 2007.

9. Willey, R. E., "Space tapering of linear and planar arrays," IRE Trans. Antennas Prop., Vol. 10, No. 4, 369-377, Jul. 1962.
doi:10.1109/TAP.1962.1137887

10. Skolnik, M. I., J. W. Sherman III, F. C. Ogg, and Jr., "Statistically designed density-tapered arrays," IEEE Trans. Antennas Prop., Vol. 12, No. 4, 408-417, Jul. 1964.
doi:10.1109/TAP.1964.1138239

11. Viganò, M. C., G. Toso, G. Caille, C. Mangenot, and I. E. Lager, "Sunflower array antenna with adjustable density taper," Int. J. of Antennas Prop., Vol. 2009, Article ID 624035, 10 Pages, 2009, doi:10.1155/2009/624035.

12. Donelli, M., A. Martini, and A. Massa, "A hybrid approach based on PSO and Hadamard difference sets for the synthesis of square thinned arrays," IEEE Trans. Antennas Prop., Vol. 57, No. 8, 2491-2495, Aug. 2009.
doi:10.1109/TAP.2009.2024570

13. Kurup, D. G., M. Himdi, and A. Rydberg, "Design of an unequally spaced reflectarray," IEEE Antennas Wireless Prop. Lett., Vol. 2, 33-35, 2003.
doi:10.1109/LAWP.2003.811324

14. Meriah, S. M., E. Cambiaggio, F. T. Bendimerad, R. Staraj, J. P. Damiano, and L. Brochier, "Design of a thinned microstrip-antenna re°ectarray using a genetic algorithm," Microw. Opt. Tech. Lett., Vol. 46, No. 6, 559-562, Sep. 2005.
doi:10.1002/mop.21050

15. Carrasco, E., M. Barba, and J. A. Encinar, "Switchable-beam reflectarray with aperiodic-gathered elements based on pin diodes," Proc. of the 32nd ESA Antenna Workshop on Antennas for Space Appl., Noordwijk, The Netherlands, Oct. 5-8, 2010, CD ROM.

16. Niaz, M. W., Z. Ahmed, and M. Bin Ihsan, "Performance of thinned microstrip reflectarrays," IACSIT Int. J. of Eng. and Tech., Vol. 2, No. 6, 578-582, Dec. 2010.

17. Capozzoli, A., C. Curcio, A. Liseno, M. Migliorelli, and G. Toso, "Aperiodic conformal reflectarrays," Proc. of the IEEE Int. Symp. on Antennas Prop., 1-4, Spokane, WA, Jul. 3-8, 2011.

18. Capozzoli, A., C. Curcio, A. Liseno, M. Migliorelli, and G. Toso, Power pattern synthesis of advanced flat aperiodic reflectarrays, Proc. of the 33rd ESA Workshop on Challenges for Space Antenna Systems, Noordwijk, The Netherlands, Oct. 18-21, 2011.

19. Zhou, M., S. B. Sorensen, O. S. Kim, S. Pivnenko, and G. Toso, "Investigations on accurate analysis of microstrip reflectarrays," Proc. of the 33rd ESA Workshop on Challenges for Space Antenna Systems, Noordwijk, The Netherlands, Oct. 18-21, 2011.

20. Arpin, F., J. Shaker, and D. A. McNamara, "Multi-feed single-beam power-combining reflectarray antenna," Electronics Letters, Vol. 40, No. 17, 1035-1037, Aug. 2004.
doi:10.1049/el:20045212

21. Arrebola, M., J. A. Encinar, and M. Barba, "Multifed printed re°ectarray with three simultaneous shaped beams for LMDS central station antenna ," IEEE Trans. Antennas Prop., Vol. 56, No. 6, 1518-1527, Jun. 2008.
doi:10.1109/TAP.2008.923360

22. Hajian, M., B. Kuijpers, K. Buisman, A. Akhnoukh, M. Plek, L. C. N. de Vreede, J. Zijdeveld, and L. P. Lightart, "Reconfigurable scan-beam hollow patch reflectarray antenna loaded with tunable capacitor," Microw. Opt. Tech. Lett., Vol. 51, No. 2, 367-374, Feb. 2009.
doi:10.1002/mop.24050

23. Bucci, O. M., A. Capozzoli, and G. D'Elia, "An effective power synthesis technique for shaped, double-reflector multifeed antennas," Progress In Electromagnetics Research, Vol. 39, 93-123, 2003.
doi:10.2528/PIER02052408

24. Huang, J., M. Lou, A. Feria, and Y. Kim, "An inflatable L-band microstrip SAR array," Proc. of the IEEE Antennas Prop. Int. Symp., 2100-2103, Atlanta, GA, Jun. 21-26, 1998.

25. Bucci, O. M., A. Capozzoli, C. Curcio, and G. D'Elia, "On the scattering matrix for reflectarray antennas," Atti Della Fondazione G. Ronchi, Vol. LXV, No. 1, 1-17, Jan.-Feb. 2010.

26. Zornoza, J. A. and J. A. Encinar, "Efficient phase-only synthesis of contoured-beam patterns for very large reflectarrays," Int. J. RF Microw. Computer-aided Eng., Vol. 14, No. 5, 415-423, Sep. 2004.
doi:10.1002/mmce.20028

27. Arrebola, M., Y. Álvarez, J. A. Encinar, and F. Las-Heras, "Accurate analysis of printed reflectarrays considering the near field of the primary feed," IET Microw. Antennas Prop., Vol. 3, No. 2, 187-194, 2009.
doi:10.1049/iet-map:20070325

28. Bucci, O. M., A. Capozzoli, G. D'Elia, and S. Russo, "Power pattern synthesis of reflectarrays: Comparison between two approaches," Proc. of the XV Riunione Nazionale di Elettromagnetismo, 1-4, Cagliari, Italy, Sep. 13-16, 2004, CD ROM.

29. Capozzoli, A., A. Colella, C. Curcio, G. D'Elia, A. Liseno, and P. Vinetti, Constrained phase-only synthesis for reflectarray antennas, Proc. of the Adv. Lightweight Structures and Refl. Antennas, Tbilisi, Georgia, Oct. 14-16, 2009, CD ROM.

30. Capozzoli, A., C. Curcio, G. D'Elia, A. Liseno, and P. Vinetti, "FFT & aperiodic arrays with phase-only control and constraints due to super-directivity, mutual coupling and overall size," Proc. of the 30th ESA Antenna Workshop on Antennas for Earth Observ., Science, Telecomm. and Navig. Space Missions, Noordwijk, The Netherlands, May 27-30, 2008, CD ROM.

31. Capozzoli, A., C. Curcio, G. D'Elia, A. Liseno, and P. Vinetti, "FFT & equivalently tapered aperiodic arrays," Proc. of the XXIX General Assembly of the Int. Union of Radio Sci., Chicago, IL, Aug. 7-16, 2008, CD ROM.

32. Capozzoli, A., C. Curcio, G. D'Elia, A. Liseno, G. Toso, and P. Vinetti, "Multireflectarray aperiodico conforme,", European Patent Nr. 09425356/EP09425356.4, Filing Date: Sep. 16, 2009.

33. Capozzoli, A., C. Curcio, G. D'Elia, A. Liseno, G. Toso, and P. Vinetti, "Aperiodic and non-planar array of electromagnetic scatterers, and reflectarray antenna comprising the same ,", World Patent Nr. WO/2011/033388, International Filing Date: Sep. 16, 2009.

34. Capozzoli, A., C. Curcio, E. Iavazzo, A. Liseno, M. Migliorelli, and G. Toso, "Phase-only synthesis of a-periodic reflectarrays," Proc. of the Europ. Conf. on Antennas Prop., 1031-1035, Rome, Italy, Apr. 11-15, 2011.

35., "Advanced reflectarray antennas," ESA LET-SME 2009 Project, Technical Report Nr. 1, Jul. 2010 (Available on Request to the Authors).

36., "Advanced reflectarray antennas," ESA LET-SME 2009 Project, Technical Report Nr. 2, Mar. 2011 (Available on Request to the authors).

37. Bulatsyk, O. O., B. Z. Katsenelenbaum, Y. P. Topolyuk, and N. N. Voitovich, Phase Optimization Problems, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, 2010.

38. Capozzoli, A. and G. D'Elia, "Global optimization and antennas synthesis and diagnostics, part one: Concepts, tools, strategies and performances," Progress In Electromagnetics Research, Vol. 56, 195-232, 2006.
doi:10.2528/PIER04123001

39. Capozzoli, A. and G. D'Elia, "Global optimization and antennas synthesis and diagnostics, part two: Applications to advanced re°ector antennas synthesis and diagnosis techniques," Progress In Electromagnetics Research, Vol. 56, 233-261, 2006.
doi:10.2528/PIER05032503

40. Isernia, T., F. Soldovieri, G. Leone, and R. Pierri, "On the local minima in phase reconstruction algorithms," Radio Sci., Vol. 31, No. 6, 1887-1899, 1996.
doi:10.1029/96RS02154

41. Bucci, O. M., G. D'Elia, G. Mazzarella, and G. Panariello, "Antenna pattern synthesis: A new general approach," Proc. of the IEEE, Vol. 82, No. 3, 358-371, Mar. 1994.
doi:10.1109/5.272140

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

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

44. 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.

45. Lebret, H. and S. Boyd, "Antenna array pattern synthesis via convex optimization," IEEE Trans. Signal Proc., Vol. 45, No. 3, 526-532, Mar. 1997.
doi:10.1109/78.558465

46. Bucci, O. M., L. Caccavale, and T. Isernia, "Optimal far-field focusing of uniformly spaced arrays subject to arbitrary upper bounds in nontarget directions," IEEE Trans. Antennas Prop., Vol. 50, No. 11, 1539-1554, Nov. 2002.
doi:10.1109/TAP.2002.803959

47. Boyd, S. and L. Vandenberghe, Convex Optimization, Cambridge University Press, Cambridge, 2004.

48. Galindo, V., "Design of dual-reflector antennas with arbitrary phase and amplitude distorsion," IEEE Trans. Antennas Prop., Vol. 12, No. 4, 403-408, Jul. 1964.
doi:10.1109/TAP.1964.1138236

49. Dum, D. W. and Y. Rahmat-Samii, "Generalized diffraction synthesis technique for high performance reflector antennas," IEEE Trans. Antennas Prop., Vol. 43, No. 1, 27-40, Jan. 1995.
doi:10.1109/8.366348

50. Doyle, W., On approximating linear array factors, Mem. RM-3530-PR, RAND Coporation, Feb. 1963.

51. Skolnik, M. I., Nonuniform arrays, Antenna Theory: Part I, R. E. Collin and F. J. Zucker, Eds., Ch. 6, McGraw-Hill, New York, 1969.

52. Toso, G. and P. Angeletti, "Sparse and thinned array tracing," European Patent Application No. 08290154.7, Filed on Feb. 18, 2008, Published on Aug. 19, 2009 with the Number EP2090995.

53. Bucci, O. M., M. D'Urso, T. Isernia, P. Angeletti, and G. Toso, "Deterministic synthesis of uniform amplitude sparse arrays via new density taper technique," IEEE Trans. Antennas Prop., Vol. 28, No. 6, 1949-1958, Jun. 2010.
doi:10.1109/TAP.2010.2046831

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

55. 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.

56. Capozzoli, A., A. Breglia, C. Curcio, and A. Liseno, GPU-accelerated power pattern synthesis of aperiodic linear arrays, Proc. of the XXX URSI General Assembly and Scienti¯c Symp., 1-4, Istanblu, Turkey, Aug. 13-20, 2011..

57. Pierri, R. and A. Tamburrino, "On the local minima problem in conductivity imaging via a quadratic approach," Inverse Problems, Vol. 13, No. 6, 1547-1568, Dec. 1997.
doi:10.1088/0266-5611/13/6/010

58. Isernia, T., V. Pascazio, and R. Pierri, "On the local minima in a tomographic imaging technique," IEEE Trans. Geosci. Remote Sens., Vol. 39, No. 7, 1596-1607, Jul. 2001.
doi:10.1109/36.934091

59. Fatica, M. and W.-K. Jeong, Accelerating matlab with CUDA, Proc. of the High Performance Embedded Comput. Workshop, Lexington, MA, Sep. 18-20, 2007.

60. Isernia, T., G. Leone, and R. Pierri, "Radiation pattern evaluation from near-field intensities on planes," IEEE Trans. Antennas Prop., Vol. 44, No. 5, 701-710, May 1996.
doi:10.1109/8.496257

61. Capozzoli, A., C. Curcio, A. Liseno, M. Migliorelli, and G. Toso, Phase-only synthesis of conformal aperiodic reflectarrays with multi-frequency specifications, Proc. of the Europ. Conf. on Antennas Prop., Prague, Czech Republic, Mar. 26-30, 2012.

62. Capozzoli, A., C. Curcio, G. D'Elia, A. Liseno, and S. Sparice, A design technique of reflectarrays with improved frequency performance, Proc. of the Europ. Conf. on Antennas Prop., Edinburgh, UK, Nov. 11-16, 2007.

63. Galindo-Israel, V. and R. Mittra, "A new series representation of the radiation integral with application to reflector antennas," IEEE Trans. Antennas Prop., Vol. 25, No. 5, 631-641, Sep. 1977.
doi:10.1109/TAP.1977.1141657

64. Nayeri, P., F. Yang, and A. Z. Elsherbeni, "Broadband reflectarray antennas using double-layer subwavelength patch elements," IEEE Antennas Wireless Prop. Lett., Vol. 9, 1139-1142, 2010.
doi:10.1109/LAWP.2010.2094178

65. Capozzoli, A., C. Curcio, A. Liseno, and P. V. Testa, NUFFT-based SAR backprojection on multiple GPUs, Proc. of the Tyrrhenian Workshop on Advances in Radar and Remote Sens., 1-6, Naples, Italy, Sep. 11-14, 2012, CD ROM.


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