Edge Effects in Axial Arrays of Circular Rings

IEEE Transactions on Antennas and Propagation

Volumn 54, Issue 2, 2006, Pages 544-553

  Li, Shaohua ^a   Scharstein, Robert W ^a  

^a The Aerospace Engineering and Mechanics Department   (United States)

Author keywords

array; Edge effects; finite array; grating; semi infinite

Indexed keywords

EID: 85008033386     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/TAP.2005.863106     Document Type: Article

References (32)

1. S. Li and R. W. Scharstein, “High frequency scattering by a circular ring,” IEEE Trans. Antennas Propag., vol. 53, no. 6, pp. 1927–1938, Jun. 2005.
2. D. R. Denison and R. W. Scharstein, “Decomposition of the scattering by a finite linear array into periodic and edge components,” Microwave Opt. Technol. Lett., vol. 9, pp. 338–343, 1995.
3. C. Craeye and M. Arts, “Modulated oscillations appearing in the scan impedance of a finite phased array,” IEEE Trans. Antennas Propag., vol. 51, no. 9, pp. 2504–2506, Sep. 2003.
4. C. Craeye, A. G. Tijhuis, and D. H. Schaubert, “An efficient MoM formulation for finite-by-infinite arrays of two-dimensional antennas arranged in a three-dimensional structure,” IEEE Trans. Antennas Propag., vol. 52, no. 1, pp. 271–282, Jan. 2004.
5. C. M. Linton and P. A. Martin, “Semi-infinite arrays of isotropic point scatterers. A unified approach,” SIAM J. Appl. Math., vol. 64, pp. 1035–1056, 2004.
6. M. Nishimoto and H. Ikuno, “Analysis of electromagnetic wave diffraction by a semi-infinite strip grating and evaluation of end-effects,” Progress in Electromagnetics Research, vol. 23, pp. 39–58, 1999.
7. B. Tomasic and A. Hessel, “Analysis of finite arrays—a new approach,” IEEE Trans. Antennas Propag., vol. 47, no. 3, pp. 555–565, Mar. 1999.
8. A. Neto, S. Maci, G. Vecchi, and M. Sabbadini, “A truncated floquet wave diffraction method for the full wave analysis of large phased arrays—part I: basic principles and 2-D cases,” IEEE Trans. Antennas Propag., vol. 48, no. 4, pp. 594–600, Apr. 2000.
9. F. Capolino, M. Albani, S. Maci, and L. B. Felsen, “Frequency-domain Green's function for a planar periodic semi-infinite phased array—part I: truncated floquet wave formulation,” IEEE Trans. Antennas Propag., vol. 48, no. 1, pp. 67–74, Jan. 2000.
10. F. Capolino, M. Albani, S. Maci, and L. B. Felsen, “Frequency-domain Green's function for a planar periodic semi-infinite phased array—Part II: Diffracted wave phenomenology,” IEEE Trans. Antennas Propag., vol. 48, no. 1, pp. 75–85, Jan. 2000.
11. R. C. Hansen, Phased Array Antennas. New York: Wiley, 1998, ch. 8.
12. B. A. Munk, Finite Antenna Arrays and FSS. New York: Wiley, 2003, ch. 1 and 4.
13. S. Li and R. W. Scharstein, “Eigenmodes and scattering by an axial array of tape rings,” IEEE Trans. Antennas Propag., submitted for publication.
14. R. W. P. King and C. W. Harrison Jr., Antennas and Waves: A Modern Approach. Cambridge, MA: The MIT Press, 1969, p. 658.
15. Z. S. Agranovich and V. P. Shestopalov, “Distribution of electromagnetic waves in a circular waveguide,” Soviet Phys.—Technical Phys., vol. 9, pp. 1504–1511, 1965.
16. K. Iizuka, R. W. P. King, and C. W. Harrison Jr., “Self and mutual admittances of two identical circular loop antennas in a conducting medium and in air,” IEEE Trans. Antennas Propag., vol. 14, no. 4, pp. 440–450, Jul. 1966.
17. S. Ito, N. Inagaki, and T. Sekiguchi, “An Investigation of the array of circular-loop antennas,” IEEE Trans. Antennas Propag., vol. 19, no. 4, pp. 469–476, Jul. 1971.
18. S. Krishnan, L. Li, and M. Leong, “Entire-domain MoM analysis of an array of arbitrarily oriented circular loop antennas: a general formulation,” IEEE Trans. Antennas Propag., vol. 53, no. 9, pp. 2961–2968, Sep. 2005.
19. S. Sensiper, “Electromagnetic wave propagation on helical structures (a review and survey of recent progress),” Proc. IRE, vol. 43, pp. 149–161, 1955.
20. T. S. M. Maclean and R. G. Kouyoumjian, “The bandwidth of helical antennas,” IRE Trans. Antennas Propag., vol. 7, no. 5, pp. 379–386, Dec. 1959.
21. R. Mittra, “Wave propagation on helices,” IEEE Trans. Antennas Propag., vol. 11, no. 5, pp. 585–586, Sep. 1963.
22. A. Sezginer, S. L. Chuang, and J. A. Kong, “Modal approach to scattering of electromagnetic waves by a conducting tape helix,” IEEE Trans. Antennas Propag., vol. 31, no. 5, pp. 732–739, Sep. 1983.
23. A. F. Peterson, B. S. Greene, and R. Mittra, “Propagation and radiation characteristics of the tape helix with a conducting core and dielectric substrate,” IEEE Trans. Antennas Propag., vol. 38, no. 4, pp. 578–584, Apr. 1990.
24. L. A. Weinstein, Open Resonators and Open Waveguides. Boulder, CO: Golem Press, 1969, p. 286.
25. B. K. Skrynnik, B. S. Miroshnichenko, P. N. Melezhik, and Y. B. Senkevich, “A ring-shaped travelling-wave open oscillator as part of the diffraction radiation oscillator,” in Proc. 5th Int. Kharkov Symp. Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, Kharkov, Ukraine, Jun. 21–26, 2004, pp. 480–482.
26. A. I. Tereshchenko, “Ring-shaped open-ended resonant cavities,” in Proc. 5th Int. Kharkov Symp. Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, Kharkov, Ukraine, Jun. 21–26, 2004, pp. 708–709.
27. E. Shamonina and L. Solymar, “Magneto-inductive waves supported by metamaterial elements: components for a one-dimensional waveguide,” J. Phys. D: Appl. Phys., vol. 37, pp. 362–367, 2004.
28. S. Maslovski, P. Ikonen, I. Kolmakov, and S. Tretyakov, “Artificial magnetic materials based on the new magnetic particle: metasolenoid,” Progress in Electromagn. Res., vol. 54, pp. 61–81, 2005.
29. A. Hessel, “General characteristics of traveling-wave antennas,” in Antenna Theory Part 2, R. E. Collin and F. J. Zucker, Eds. New York: McGraw-Hill, 1969, ch. 19, pp. 186–188.
30. D. H. Werner, “An exact integration procedure for vector potentials of thin circular loop antennas,” IEEE Trans. Antennas Propag., vol. 44, no. 2, pp. 157–165, Feb. 1996.
31. W. X. Wang, “The exact kernel for cylindrical antenna,” IEEE Trans. Antennas Propag., vol. 39, no. 4, pp. 434–435, Apr. 1991.
32. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. New York: Academic Press, 1980.