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Radiation and Scattering by Complex Conformal Antennas on a Circular Cylinder

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Abstract

A technique for characterizing and designing complex conformal antennas flush-mounted on a singly-curved surface is presented. This approach is based on the hybrid finite element–boundary integral (FE–BI) method. A related method was proposed in the past utilizing cylindrical-shell finite element and roof-top rectangular basis functions for the boundary integral. Although that method proved very powerful for analyzing cylindrical–rectangular patch arrays flush-mounted to a circular cylinder, the requirement for uniform meshing in the aperture ultimately limited its usefulness. In this present formulation, tetrahedral elements are used to expand the volumetric electric fields while similar basis functions are used for the boundary integral. The curvature of the aperture is explicitly included via the use of the circular cylinder dyadic Green's function. After presentation of the formulation and validation using several well-understood examples, an example is presented that illustrates the capabilities of this method for modeling complex conformal antennas heretofore not examined by rigorous methods due to inherent limitations of the various published methods.

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References

  1. J.T. Aberle and F. Zavosh, Analysis of probe-fed circular microstrip patches backed by circular cavities, Electromagnetics 14 (1994) 239-258.

    Google Scholar 

  2. J. Ashkenazy, S. Shtrikman and D. Treves, Electric surface current model for the analysis of microstrip antennas on cylindrical bodies, IEEE Trans. Antennas Propag. 33 (1985) 295-300.

    Google Scholar 

  3. T.S. Bird, Comparison of asymptotic solutions for the surface field excited by a magnetic dipole on a cylinder, IEEE Trans. Antennas Propag. 32 (1984) 1237-1244.

    Google Scholar 

  4. T.S. Bird, Accurate asymptotic solution for the surface field due to apertures in a conducting cylinder, IEEE Trans. Antennas Propag. 33 (1985) 1108-1117.

    Google Scholar 

  5. J. Boersma and S.W. Lee, Surface field due to a magnetic dipole on a cylinder: Asymptotic expansions of the exact solution, Report 78-17, Electromagnetics Lab., University of Illinois (1978).

  6. J.J. Bowman, T.B.A. Senior and P.L.E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes, rev. (Hemisphere publishing, New York, 1987).

    Google Scholar 

  7. J.S. Dahele, R.J. Mitchell, K.M. Luk and K.F. Lee, Effect of curvature on characteristics of rectangular patch antenna, Electron. Lett. 23 (1987) 748-749.

    Google Scholar 

  8. D.B. Davidson, Implementation issues for three-dimensional vector FEM programs, IEEE Antennas Propag. Mag. 42 (2000) 100-107.

    Google Scholar 

  9. T.M. Hashaby, S.M. Ali and J.A. Kong, Input impedance and radiation pattern of cylindricalrectangular and wraparound microstrip antennas, IEEE Trans. Antennas Propag. 38 (1990) 722-731.

    Google Scholar 

  10. J.R. James and G.J. Wilson, Microstrip antennas and arrays part 1: Fundamental action and limitations, IEE J. Microw. Opt. Acoust. 1 (1977) 165-174.

    Google Scholar 

  11. J.-M. Jin, The Finite Element Method in Electromagnetics (Wiley/Interscience, New York, 1993).

    Google Scholar 

  12. J.-M. Jin and J.L. Volakis, A hybrid finite element method for scattering and radiation by microstrip patch antennas and arrays residing in a cavity, IEEE Trans. Antennas Propag. 39 (1991) 1598-1604.

    Google Scholar 

  13. L.C. Kempel, Implementation of various hybrid finite element-boundary integral methods: Bricks, prisms, and tets, in: Proc. of the 15th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, 1999, pp. 242-249.

  14. L.C. Kempel and J.L. Volakis, Scattering by cavity-backed antennas on a circular cylinder, IEEE Trans. Antennas Propag. 41 (1994) 1268-1279.

    Google Scholar 

  15. L.C. Kempel, J.L. Volakis and R.J. Sliva, Radiation by cavity-backed antennas on a circular cylinder, IEE Proc. Microw. Antennas Propag. 142 (1995) 233-239.

    Google Scholar 

  16. Y.T. Lo, D. Solomon and W.F. Richards, Theory and experiments on microstrip antennas, IEEE Trans. Antennas Propag. 27 (1979) 137-145.

    Google Scholar 

  17. K.M. Luk and K.F. Lee, Characteristics of the cylindrical-circular patch antenna, IEEE Trans. Antennas Propag. 38 (1990) 119-1123.

    Google Scholar 

  18. K.-M. Luk, K.-F. Lee and J.S. Dahele, Analysis of the cylindrical-rectangular patch antenna, IEEE Trans. Antennas Propag. 37 (1989) 133-147.

    Google Scholar 

  19. R. Mittra and S. Safavi-Naini, Source radiation in the presence of smooth convex bodies, Radio Sci. 14 (1979).

  20. T. Ozdemir and J.L. Volakis, Triangular prisms for edge-based vector finite element analysis of conformal antennas, IEEE Trans. Antennas Propag. 45 (1997) 788-797.

    Google Scholar 

  21. P.H. Pathak and N.N. Wang, An analysis of the mutual coupling between antennas on a smooth convex surface, Technical Report 784583-7, ElectroScience Laboratory, Ohio State University (1978).

  22. A.F. Peterson, S.L. Ray and R. Mitra, Computational Methods for Electromagnetics (IEEE Press, New York, 1998).

    Google Scholar 

  23. A.C. Polycarpou, Finite-element analysis of microwave passive devices and ferrite-tuned antennas, dissertation, Arizona State University (1998).

  24. D.M. Pozar and S.M. Voda, A rigorous analysis of a microstripline fed patch antenna, Antennas Propag. Mag. 35 (1987) 1343-1350. C.A. Macon et al. / Complex conformal antennas 209

    Google Scholar 

  25. E.V. Sohtell, Microstrip antennas on a cylindrical surface, in: Handbook of Microstrip Antennas, eds. J.R. James and P.S. Hall (Peter Peregrinus, London, 1989) pp. 1227-1255.

    Google Scholar 

  26. C.-T. Tai, Dyadic Green's Functions in Electromagnetic Theory (IEEE Press, New York, 1994).

    Google Scholar 

  27. J.L. Volakis, A. Chatterjee and J. Gong, A review of the finite element method for three-dimensional electromagnetic scattering, J. Opt. Soc. Amer. A 11 (1994) 1422-1433.

    Google Scholar 

  28. J.L. Volakis, A. Chatterjee and L.C. Kempel, Finite Element Method for Engineering (IEEE Press, New York, 1998).

    Google Scholar 

  29. K.-L. Wong, Design of Nonplanar Microstrip Antennas and Transmission Lines (Wiley, New York, 1999).

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI, 48824, USA

    Charles A. Macon & Leo C. Kempel

  2. Air Force Research Laboratory (AFRL /SNRP), Wright-Patterson AFB, OH, 45433, USA

    Stephen W. Schneider

Authors
  1. Charles A. Macon
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  2. Leo C. Kempel
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  3. Stephen W. Schneider
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Macon, C.A., Kempel, L.C. & Schneider, S.W. Radiation and Scattering by Complex Conformal Antennas on a Circular Cylinder. Advances in Computational Mathematics 16, 191–209 (2002). https://doi.org/10.1023/A:1014425527687

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  • DOI: https://doi.org/10.1023/A:1014425527687

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