1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Transactions on Antennas and Propagation
Volume 46 Number 8, August 1998

Table of Contents for this issue

Complete paper in PDF format

Radiation Due to a Convex Curvature Discontinuity of a Dielectric-Coated Perfect Conductor

David H. Monteith and Robert G. Olsen

Page 1220.

Abstract:

Surface waves radiate energy at discontinuities in the curvature of the guiding structure. By reciprocity, surface waves will be excited by plane waves incident upon such a discontinuity. Here, the problem of the radiation of a surface wave on a flat dielectric-coated perfect conductor incident upon an abrupt change to a dielectric-coated cylindrical conductor with a large radius of curvature is considered. The problem is formulated as an integral equation over the aperture of the discontinuity. Since the change in curvature is modest, an approximate perturbation solution to the integral equation is derived and the radiated field due to the discontinuity is found. This radiated field reduces to published results for an impedance surface approximation when that approximation is valid. The problem of mode conversion and associated radiation near higher mode cutoffs is also studied. It is found that near mode cutoffs, the higher order mode dominates the radiation pattern and causes the overall radiation pattern due to the discontinuity in curvature to be narrow and end fire. Away from cutoff, when all of the propagating bound modes are more tightly bound to the surface, the radiation pattern is less narrow and less end fire. For very tightly bound modes the pattern is nearly uniform. For dielectrics characterized by small permitivities, the changes in radiation pattern should be measurable.

References

  1. V. V. Shevchenko, Continuous Transitions in Open Waveguides.Boulder, CO: Golem, 1971.
  2. V. H. Weston, "The effect of a discontinuity in curvature in high-frequency scattering," IRE Trans. Antennas Propagat., vol. 10, pp. 775-780, 1962.
  3. --, "The effect of a discontinuity in curvature in high-frequency scattering--Part II," IEEE Trans. Antennas Propagat., vol. AP-13, pp. 611-613, July 1965.
  4. T. B. A Senior, "The diffraction matrix for a discontinuity in curvature," IEEE Trans. Antennas Propagat., vol. AP-20, pp. 326-333, Mar. 1972.
  5. E. F. Kuester and D. C. Chang, "Scattering of a surface-wave from a curvature discontinuity on a convex impedance surface," IEEE Trans. Antennas Propagat., vol. AP-25, pp. 796-810, June 1977.
  6. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves.New York: IEEE Press, 1994.
  7. J. W. Goodman, Introduction To Fourier Optics.New York: McGraw-Hill, 1968.
  8. R. F. Harrington, Time-Harmonic Electromagnetic Fields.New York: McGraw-Hill, 1961.
  9. D. H. Monteith, "Radiation due to a convex curvature discontinuity of a dielectric-coated perfect conductor," Ph.D. dissertation, School of Elect. Eng. Comput. Sci., Washington State Univ., Pullman, WA, Dec. 1996.
  10. E. F. Kuester and D. C. Chang, "Radiation of a surface wave from a curvature discontinuity in an impedance surface--Part I: Convex bend," Sci. Rep. no. 16, Electromagn. Lab. Dept. Elect. Eng., Univ. Colorado, Boulder, 1976.
  11. J. R. Wait, "Electromagnetic surface waves," in Advances in Radio Research.New York: Academic, 1964, vol. 1, pp. 157-217.
  12. G. Tyras, Radiation and Propagation of Electromagnetic Waves.New York: Academic, New York, 1969.
  13. L. A. Segal and C. C. Lin, Mathematics Applied To Deterministic Problems In The Natural Sciences.New York: Macmillan, 1974.
  14. T. B. A. Senior, "Approximate boundary conditions," IEEE Trans. Antennas Propagat., vol. AP-29, pp. 826-829, May 1981.
  15. D. J. Hoppe and Y. Rahmat-Samii, "Higher order impedance boundary conditions applied to scattering by coated bodies of revolution," IEEE Trans. Antennas Propagat., vol. 42, pp. 1600-1611, Dec. 1994.
  16. T. B. A. Senior and J. L. Volakis, "Derivation and application of a class of generalized boundary conditions," IEEE Trans. Antennas Propagat., vol. 37, pp. 1566-1572, Dec. 1989.