PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 145 > pp. 287-298

TRAVELLING WAVE MECHANISM AND NOVEL ANALYSIS OF THE PLANAR ARCHIMEDEAN SPIRAL ANTENNA IN FREE SPACE

By T.-K. Chen and G. H. Huff

Full Article PDF (640 KB)

Abstract:
While Archimedean spiral antennas were invented a half-century ago, only self-complementary impedance can be evaluated directly from the Babinet's principle. This paper examines the effects of metal width and arm spacing on printed spiral's input impedance. A model is proposed based on examination by decomposition of planar spiral. A closed-form expression for the input impedance of Archimedean spiral antenna is obtained by evaluating the proposed model with conformal mapping techniques. Full-wave numerical simulations, Babinet's principle, and a fabricated antenna demonstrate the accuracy of the proposed model. The expression in this work can be used to find the impedance of a variety of spiral complementary structures analytically. The examination and discussion on the effects of other parameters and features in addition to the spiral itself are also provided through numerical simulation.

Citation:
T.-K. Chen and G. H. Huff, "Travelling Wave Mechanism and Novel Analysis of the Planar Archimedean Spiral Antenna in Free Space," Progress In Electromagnetics Research, Vol. 145, 287-298, 2014.
doi:10.2528/PIER14011901
http://www.jpier.org/PIER/pier.php?paper=14011901

References:
1. Turner, E. M., "Spiral slot antenna,", United States Patent US2863145 A, 1958.

2. Curtis, W., "Spiral antennas," IRE Trans. Antennas Propag., Vol. 8, No. 3, 298-306, 1960.

3. Kaiser, J., "The Archimedean two-wire spiral antenna," IRE Trans. Antennas Propag., Vol. 8, No. 3, 312-323, 1960.

4. Dyson, J. D., R. Bawer, P. E. Mayes, and J. I. Wolfe, "A note on the difference between equiangular and Archimedes spiral antennas (correspondence)," IRE Trans. Microw. Theory Tech., Vol. 9, No. 2, 203-205, 1961.

5. Lacko, P., "Archimedean-spiral and log-spiral antenna comparison," Proc. SPIE, Vol. 4742, No. 1, 230, 2002.

6. Paolino, D., "Reduced-size spiral antenna design using dielectric overlay loading for use in ground penetrating radar and design of alternative antennas using Vivaldi radiators," Proc. SPIE,, Vol. 4742, No. 1, 218, 2002.

7. Nakano, H., K. Nogami, S. Arai, H. Mimaki, and J. Yamauchi, "A spiral antenna backed by a conducting plane reflector," IEEE Trans. Antennas Propag., Vol. 34, No. 6, 791-796, 1986.

8. Champagne, II, N. J., J. T. Williams, R. M. Sharpe, S. U. Hwu, and D. R. Wilton, "Numerical modeling of impedance loaded multi-arm Archimedean spiral antennas," IEEE Trans. Antennas Propag., Vol. 40, No. 1, 102-108, 1992.

9. Nakano, H., Y. Shinma, and J. Yamauchi, "A monofilar spiral antenna and its array above a ground plane-formation of a circularly polarized tilted fan beam," IEEE Trans. Antennas Propag., Vol. 45, No. 10, 1506-1511, 1997.

10. Nakano, H., K. Hirose, I. Ohshima, and J. Yamauchi, "An integral equation and its application to spiral antennas on semi-infinite dielectric materials," IEEE Trans. Antennas Propag., Vol. 46, No. 2, 1506-1511, 1997.

10. Nakano, H., K. Hirose, I. Ohshima, and J. Yamauchi, "An integral equation and its application to spiral antennas on semi-infinite dielectric materials," IEEE Trans. Antennas Propag., Vol. 46, No. 2, 267-274, 1998.

11. Li, R.-L. and H. Nakano, "Numerical analysis of arbitrarily shaped probe-excited single-arm printed wire antennas," IEEE Trans. Antennas Propag., Vol. 46, No. 9, 1307-1317, 1998.

12. Khamas, S. K. and G. G. Cook, "Moment-method analysis of printed wire spirals using curved piecewise sinusoidal subdomain basis and testing functions," IEEE Trans. Antennas Propag., Vol. 45, No. 6, 1016-1022, 1997.

13. Khamas, S. K., P. L. Starke, and G. G. Cook, "Design of a printed spiral antenna with a dielectric superstrate using an e±cient curved segment moment method with optimisation using marginal distributions," IEE Proc. Microw. Antennas Propag., Vol. 151, No. 4, 315-320, 2004.

14. Fumeaux, C., D. Baumann, and R. Vahldieck, "Finite-volume time-domain analysis of a cavity-backed Archimedean spiral antenna," IEEE Trans. Antennas Propag., Vol. 54, No. 3, 844-851, 2006.

15. Penney, C. W. and R. J. Luebbers, "Input impedance, radiation pattern, and radar cross section of spiral antennas using FDTD," IEEE Trans. Antennas Propag., Vol. 42, No. 9, 1328-1332, 1994.

16. Nakano, H., H. Yasui, and J. Yamauchi, "Numerical analysis of two-arm spiral antennas printed on a finite-size dielectric substrate," IEEE Trans. Antennas Propag., Vol. 50, No. 3, 362-370, 2002.

17. Nakano, H., M. Ikeda, K. Hitosugi, and J. Yamauchi, "A spiral antenna sandwiched by dielectric layers," IEEE Trans. Antennas Propag., Vol. 52, No. 6, 1417-1423, 2004.

18. Nakano, H., R. Satake, and J. Yamauchi, "Extremely low-profile, single-arm, wideband spiral antenna radiating a circularly polarized wave," IEEE Trans. Antennas Propag., Vol. 58, No. 5, 1511-1520, 2010.

19. Nakano, H., T. Igarashi, H. Oyanagi, Y. Iitsuka, and J. Yamauchi, "Unbalanced-mode spiral antenna backed by an extremely shallow cavity," IEEE Trans. Antennas Propag., Vol. 57, No. 6, 1625-1633, 2009.

20. Afsar, M. N., W. Yong, and R. Cheung, "Analysis and measurement of a broadband spiral antenna," IEEE Antennas Propag. Mag., Vol. 46, No. 1, 59-64, 2004.

21. Li, R. and G. Ni, "Numerical analysis of 4-arm Archimedian printed spiral antenna," IEEE Trans. Magn., Vol. 33, No. 2, 1512-1515, 1997.

22. Zhou, D., S. Gao, R. A. Abd-Alhameed, C. Zhang, M. S. Alkhambashi, and J. D. Xu, "Design and optimisation of compact hybrid quadrifilar helical-spiral antenna in GPS applications using genetic algorithm," 2012 6th European Conference on Antennas and Propagation (EUCAP), 1-4, 2012.

23. Gschwendtner, E. and W. Wiesbeck, "Ultra-broadband car antennas for communications and navigation applications," IEEE Trans. Antennas Propag., Vol. 51, No. 8, 2020-2027, 2003.

24. Bell, J. M. and M. F. Iskander, "A low-profile Archimedean spiral antenna using an EBG ground plane," IEEE Antennas Wireless Propag. Lett., Vol. 3, No. 1, 223-226, 2004.

25. Muller, D. J. and K. Sarabandi, "Design and analysis of a 3-arm spiral antenna," IEEE Trans. Antennas Propag., Vol. 55, No. 2, 258-266, 2007.

26. Huffman, J. A. and T. Cencich, "Modal impedances of planar, non-complementary, N-fold symmetric antenna structures," IEEE Antennas Propag. Mag., Vol. 47, No. 1, 110-116, 2005.

27. Chen, T.-K. and G. H. Huff, "Modal resistance of spiral antenna," J. Electromagn. Anal. Appl., Vol. 5, No. 5, 223-228, 2013.

28. Nakano, H., S. Sasaki, H. Oyanagi, and J. Yamauchi, "Cavity-backed Archimedean spiral antenna with strip absorber," IET Microw. Antennas Propag., Vol. 2, No. 7, 725-730, 2008.

29. Chen, T.-K. and G. H. Huff, "Design and analysis of a stripline Archimedean snail antenna," PIERS Proceedings, 775-779, Taipei, Mar. 25-28, 2013.

20. HFSS, V12.0, Ansoft Corporation, , Pittsburgh, PA, 2010.

31. Gupta, K. C., R. Garg, I. Bahl, and P. Bhartia, Microstrip Lines and Slotlines, 2nd Ed., Artech House, Norwood, Massachusetts, 1996.

32. Collin, R. E., "Foundations for Microwave Engineering," Wiley-IEEE Press, New York, 2000.

33. Chen, T.-K. and G. H. Huff, "Analytical investigation of periodic coplanar waveguides," Progress In Electromagnetics Research M, Vol. 30, 167-181, 2013.

34. Bedair, S. S. and I. Wolff, "Fast, accurate and simple approximate analytic formulas for calculating the parameters of supported coplanar waveguides for (M)MIC's," IEEE Trans. Microw. Theory Tech., Vol. 40, No. 1, 41-48, 1992.

35. Ghione, G. and C. U. Naldi, "Coplanar waveguides for MMIC applications: Effect of upper shielding, conductor backing, ¯nite-extent ground planes, and line-to-line coupling," IEEE Trans. Microw. Theory Tech., Vol. 35, No. 3, 260-267, 1987.

36. Chang, K., I. Bahl, and V. Nair, RF and Microwave Circuit and Component Design for Wireless Systems, John Wiley & Sons, New York, 2002.

37. Booker, H. G., "Slot aerials and their relation to complementary wire aerials (Babinet's principle)," J. Inst. Elect. Eng. --- Part IIIA: Radiolocation, Vol. 93, No. 4, 620-626, 1946.

38. Deschamps, G., "Impedance properties of complementary multiterminal planar structures," IRE Trans. Antennas Propag., Vol. 7, No. 5, 371-378, 1959.

39. ROHACELL R Structural Foam, Evonik Industries AG, , Essen, Germany, 2013.

40. Dyson, J., "The equiangular spiral antenna," IRE Trans. Antennas Propag., Vol. 7, No. 2, 181-187, 1959.

41. Tu, W.-H., M.-Y. Li, and K. Chang, "Broadband microstrip-coplanar stripline-fed circularly polarized spiral antenna," Proc. IEEE AP-S Int. Symp., 3669-3672, 2006.

42. Thaysen, J., K. B. Jakobsen, and J. Appel-Hansen, "A wideband balun --- How does it work?," Appl. Microw. Wireless, Vol. 12, No. 10, 40-50, 2000.

43. Chen, T.-K. and G. H. Huff, "Stripline-fed Archimedean spiral antenna," IEEE Antennas Wireless Propag. Lett., Vol. 10, 346-349, 2011.

44. Driscoll, T. A. and L. N. Trefethen, Schwarz-Christoffel Mapping, Cambridge University Press, Cambridge, UK, 2002.

45. Gradshteifin, I. S., I. M. Ryzhik, and , Table of Integrals, Series and Products, 7th Ed., Academic Press, Oxford, UK, 2007.


© Copyright 2014 EMW Publishing. All Rights Reserved