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IEEE Transactions on Antennas and Propagation
Volume 48 Number 10, October 2000

Table of Contents for this issue

Complete paper in PDF format

Efficient Computation of Surface Fields Excited on a Dielectric-Coated Circular Cylinder

Vakur B. Ertürk and Roberto G. Rojas Senior Member, IEEE

Page 1507.

Abstract:

An efficient method to evaluate the surface fields excited on an electrically large dielectric-coated circular cylinder is presented. The efficiency of the method results from the circumferentially propagating representation of the Green's function as well as its efficient numerical evaluation along a steepest descent path. The circumferentially propagating series representation of the appropriate Green's function is obtained from its radially propagating counterpart via Watson's transformation and then the path of integration is deformed to the steepest descent path on which the integrand decays most rapidly. Numerical results are presented that indicate that the representations obtained here are very efficient and valid even for arbitrary small separations of the source and field points. This work is especially useful in the moment-method analysis of conformal microstrip antennas where the mutual coupling effects are important.

References

  1. J. R. Wait, Electromagnetic Radiation from Cylindrical Structures, New York: Pergamon, 1959.
  2. D. A. Hill and J. R. Wait, "Ground wave attenuation function for a spherical earth with arbitrary surface impedance", Radio Sci., vol. 15, pp.  637-643,  May-June  1980.
  3. G. Goubau, "Surface waves and their applications to transmission lines", J. Appl. Phys., vol. 21, pp.  1119-1128, Nov.  1950 .
  4. A. Nakatini, N. G. Alexopoulus, N. K. Uzunoglu and P. L. E. Uslenghi, "Accurate Green's function computation for printed circuit antennas on cylindrical antennas", Electromagn., vol. 6, pp.  243-254, July-Sept.  1986.
  5. T. M. Habashy, S. M. Ali and J. A. Kong, "Input impedance and radiation pattern of cylindrical-rectangular and wraparound microstrip antennas", IEEE Trans. Antennas Propagat., vol. 38, pp.  722-731, May  1990.
  6. K.-L. Wong, Design of Nonplanar Microstrip Antennas and Transmission Lines, New York: Wiley, 1999.
  7. K. Naishadham and L. B. Felsen, "Dispersion of waves guided along a cylindrical substrate-superstrate layered medium", IEEE Trans. Antennas Propagat., vol. 41, pp.  304-313, Mar.  1993.
  8. L. W. Pearson, "A construction of the fields radiated by a z -directed point sources of current in the presence of a cylindrically layered obstacle", Radio Sci., vol. 21, pp.  559-569,  July-Aug.  1986.
  9. L. W. Pearson, "A ray representation of surface diffraction by a multilayer cylinder", IEEE Trans. Antennas Propagat., vol. AP-35, pp.  698-707,  June  1987.
  10. P. Munk, "A uniform geometrical theory of diffraction for the radiation and mutual coupling associated with antennas on a material coated convex conducting surface", Ph.D. dissertation, Dept. Elect. Eng., Ohio State Univ., Columbus, 1996.
  11. P. H. Pathak and R. G. Kouyoumjian, "An analysis of the radiation from apertures in curved surfaces by the geometrical theory of diffraction", Proc. IEEE , vol. 62, pp.  1438-1461, Nov.  1974.
  12. P. H. Pathak and N. Wang, "An analysis of the mutual coupling between antennas on a smooth convex surface", ElectroSci. Lab., Dept. Elect. Eng., Ohio State Univ., Tech. Rep. 784 538-7, Oct. 1978.
  13. C. Demirdag and R. G. Rojas, "Mutual coupling calculations on a dielectric coated PEC cylinder using UTD-based Green's function", in IEEE Antennas Propagat. Symp. Dig., vol. 3, Canada,July 1997, pp.  1525-1528. 
  14. R. G. Rojas and V. B. Ertürk, "UTD ray analysis of mutual coupling and radiation for antennas mounted on dielectric coated PEC convex surfaces", Proc. URSI Int. Symp. Electromagn. Theory, vol. 1, pp.  178-180, May  1998.
  15. V. A. Fock, "Diffraction of radio waves around the earth's surface", J. Phys. USSR, vol. 9, pp.  256-266, 1945.
  16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, New York: Dover, 1970.
  17. R. Paknys, "Evaluation of hankel functions with complex argument and complex order", IEEE Trans. Antennas Propagat., vol. 40, pp.  569-578,  May  1992.
  18. M. Marin and P. Pathak, "Calculation of surface fields created by a current distribution on a coated circular cylinder", ElectroSci. Lab., Dept. Elect. Eng., Ohio State Univ., Tech. Rep. 721 565-1, Apr. 1989.
  19. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves, Englewood Cliffs, NJ: Prentice-Hall, 1973.