Vol. 47
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2004-04-15
Electromagnetic Field Solution in Conformal Structures: Theoretical and Numerical Analysis
By
, Vol. 47, 1-25, 2004
Abstract
A full-wave evaluation of the electromagnetic field in conformal structures with linear loading materials is presented in this paper. The analysis is performed considering at first conformal components with conventional isotropic and homogeneous media in the generalized orthogonal curvilinear reference system. In this first case, a summary of the possible analytical solutions of the vector wave equation obtainable through various factorization techniques is given. Then, the attention is focused on conformal structures involving non-conventional media (anisotropic, chiral, bianisotropic) and in this case the field solution is demanded to a new generalization of the transmission line approach. As an aside, exploiting a contravariant field formulation, which allows writing Maxwell's equations in the generalized reference system as in the Cartesian one, a useful relationship between the local curvature of the geometry and a suitable inhomogeneity of a related planar structure is presented. Finally, some results, obtained simulating the behavior of patch radiators mounted on curved bodies through the combined application of an extended Method of Line (MoL) numerical algorithm and the theoretical approach here derived, are presented.
Citation
Filiberto Bilotti Andrea Alu Lucio Vegni , "Electromagnetic Field Solution in Conformal Structures: Theoretical and Numerical Analysis," , Vol. 47, 1-25, 2004.
doi:10.2528/PIER03080102
http://www.jpier.org/PIER/pier.php?paper=0308012
References

1. Zeng, L. R. and Y. Wang, "Accurate solutions of elliptical and cylindrical striplines and microstrip lines," IEEE Trans. Microwave Theory Tech., Vol. MTT-34, No. 2, 259-264, 1986.
doi:10.1109/TMTT.1986.1133320

2. Alexoploulos, N. G. and A. Nakatani, "Cylindrical substrate microstrip line characterization," IEEE Trans. Microwave Theory Tech., Vol. MTT-35, No. 9, 843-849, 1987.
doi:10.1109/TMTT.1987.1133761

3. Luk, K. M., K. F. Lee, and J. S. Dahele, "Analysis of the cylindrical-rectangular patch antenna," IEEE Trans. Antennas Propagat., Vol. AP-37, No. 2, 143-147, 1989.

4. Luk, K. M. and K. F. Lee, "Characteristics of the cylindricalcircular patch antenna," IEEE Trans. Antennas Propagat., Vol. AP-38, No. 7, 1119-1123, 1990.

5. Ke, B. and A. A. Kishk, Analysis of spherical circular microstrip antennas, IEE Proc., Vol. 138, No. 12, 542-548, 1991.

6. Descardeci, J. R. and A. J. Giarola, "Microstrip antennas on a conical surface," IEEE Trans. Antennas Propagat., Vol. AP-40, No. 4, 460-463, 1992.
doi:10.1109/8.138851

7. Kempel, L. C. and J. L. Volakis, "Scattering by cavitybacked antennas on a circular cylinder," IEEE Trans. Antennas Propagat., Vol. AP-42, No. 9, 1268-1279, 1994.
doi:10.1109/8.318648

8. Chen, H. M. and K. L. Wong, "Characterization of coupled cylindrical microstrip lines mounted inside a ground cylinder," Microwave Opt. Technol. Lett., Vol. 10, 330-333, 1995.

9. Kempel, L. C., J. L. Volakis, and R. J. Sliva, Radiation by cavity-backed antennas on circular cylinder, IEE Proc.-Microw. Antennas Propag., Vol. 142, No. 6, 233-239, 1995.

10. Su, H. C. and K. L. Wong, "Dispersion characteristics of cylindrical coplanar waveguides," IEEE Trans. Microwave Theory Tech., Vol. MTT-44, No. 11, 2120-2122, 1996.

11. Chi-Wei, W., L. C. Kempel, and E. J. Rothwell, "Radiation by cavity-backed antennas on an elliptic cylinder," 2001 IEEE Antennas Propagat. Inter. Symp., Vol. 1, 342-345, 2001.

12. Macon, C. A., L. C. Kempel, and S. W. Schneider, "Modeling conformal antennas on prolate spheroids using the finite elementboundary integral method," 2001 IEEE Antennas Propagat. Inter. Symp., Vol. 2, 358-361, 2001.

13. Macon, C. A., L. C. Kempel, and S. W. Schneider, "Modeling cavity-backed apertures conformal to prolate spheroids using the finite element-boundary integral technique," 2002 IEEE Antennas Propagat. Inter. Symp., Vol. 1, 550-553, 2002.

14. Wong, K. L., Design of Nonplanar Microstrip Antennas and Transmission Lines, John Wiley and Sons, Inc., 1999.

15. Varadan, V. K., V. V. Varadan, and A. Lakhtakia, "On the possibility of designing broadband anti-reflection coatings with chiral composites," J. Wave Material Interaction, Vol. 2, No. 1, 71-81, 1987.

16. Cory, H. and I. Rosenhouse, "Minimization of reflection coefficient at feed of random-covered reflector antenna by chiral device," Electron. Lett., Vol. 27, No. 25, 2345-2347, 1991.

17. Engheta, N. and P. Pelet, "Reduction of surface waves in chirostrip antennas," Electron. Lett., Vol. 27, No. 1, 5-7, 1991.

18. Pozar, D. M., "Microstrip antennas and arrays on chiral substrates," IEEE Trans. Antennas Propagat., Vol. AP-40, 1260-1263, 1992.
doi:10.1109/8.182462

19. Scamarcio, G., F. Bilotti, A. Toscano, and L. Vegni, "Broad band U-slot patch antenna loaded by chiral material," J. Electromag. Waves Applicat., Vol. 15, No. 10, 1303-1317, 2001.

20. Verma, A. K., "Input impedance of rectangular microstrip patch antenna with iso/anisotropic substrate-superstrate," IEEE Microwave Wireless Compon. Lett., Vol. MWCL-11, 456-458, 2001.
doi:10.1109/7260.966040

21. Bilotti, F., A. Toscano, and L. Vegni, "FEM-BEM formulation for the analysis of cavity backed patch antennas on chiral substrates," IEEE Trans. Antennas Propagat., Vol. AP-51, No. 2, 306-311, 2003.
doi:10.1109/TAP.2003.809076

22. Bilotti, F., L. Vegni, and A. Toscano, "Radiation and scattering features of patch antennas with bianisotropic substrates," IEEE Trans. Antennas Propagat., Vol. AP-51, No. 3, 449-456, 2003.
doi:10.1109/TAP.2003.809837

23. Bilotti, F. and L. Vegni, "Chiral cover effects on microstrip antennas," IEEE Trans. Antennas Propagat., Vol. AP-51, No. 10, 2891-2898, 2003.
doi:10.1109/TAP.2003.816317

24. Al´u, F. Bilotti, and L. Vegni, "Method of lines numerical analysis of conformal antennas," IEEE Trans. Antennas Propagat., Vol. AP-52, No. 6, 2004.

25. Byerly, W. E., "Orthogonal curvilinear coordinates," An Elementary Treatise on Fourier's Series, 238-239, 1959.

26. Moon, P. and D. E. Spencer, Field Theory Handbook, Springer- Verlag Editions, Berlin, 1963.

27. Zhang, K. and D. Li, Electromagnetic Theory for Microwave and Optical Devices, Springler-Verlag, Berlin Heidelberg, 1998.

28. Ishimaru, A., Electromagnetic Wave Propagation Radiation and Scattering, Prentice Hall, Englewood Cliffs, New Jersey, 1991.

29. Collin, R. E., Filed Theory of Guided Waves, Wiley-IEEE Press, New York, 1990.

30. Schelkunoff, S. A., "Generalised telegraphist's equation for waveguide," Bell Syst. Tech. J., No. 7, 784-801, 1952.

31. Pregla, R. and W. Pascher, "The method of lines," Numerical Techniques for Microwave and Millimeter Wave Passive Structures, 381-346, 1989.

32. Pregla, R., New concepts in the method of lines, Proc. of PIERS 2000, Vol. '' Proc. of S 2000, No. 7, 2000.

33. Pregla, R., Efficient analysis of conformal antennas with anisotropic material, Proc. of AP2000, No. 4, 2000.

34. Kremer, D. and R. Pregla, "The method of lines for the hybrid analysis of multilayered cylindrical resonator structures," IEEE Trans. Microwave Theory Tech., Vol. MTT-45, No. 12, 2152-2155, 1997.
doi:10.1109/22.643756

35. Yang, W. D. and R. Pregla, "The method of lines for the analysis of integrated optical waveguide structures with arbitrary curved interfaces," J. Lightwave Tech., Vol. 14, No. 5, 879-884, 1996.
doi:10.1109/50.495171

36. Pregla, R., "General formulas for the method of lines in cylindrical coordinates," IEEE Trans. Microwave Theory Tech., Vol. MTT-43, No. 7, 1617-1620, 1995.
doi:10.1109/22.392926

37. Chen, H. T., H. D. Chen, and K. L. Wong, "Analysis of sphericalcircular microstrip antennas on a uniaxial substrate," 1994 IEEE Antennas Propagat. Inter. Symp., Vol. 1, 186-189, 1994.

38. Dreher, A. and R. Pregla, "Analysis of planar waveguides with the method of lines and absorbing boundary conditions," IEEE Microw. Guided Wave Lett., No. 6, 138-140, 1991.
doi:10.1109/75.91091