2000 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 48 Number 5, May 2000

Table of Contents for this issue

Complete paper in PDF format

Scattering from 3-D Cavities with a Plug and Play Numerical Scheme Combining IE, PDE, and Modal Techniques

André Barka, Paul Soudais and Dominique Volpert

Page 704.

Abstract:

In this paper, we present a multidomain and multimethod coupling scheme called FACTOPO, based on generalized scattering matrix computations on three-dimensional (3-D) subdomains. The global target is split in NV subdomains (Vi)i=1,NV, separated by NI fictitious surfaces (j)j=1,NI. We use a modal representation of the tangent fields on the interfaces. In each domain, the generalized Scattering matrix Si is computed with different methods such as the 3-D finite-element method (FEM) or the electric field integral equation (EFIE). This coupling scheme leads to an important reduction in computational resources,especially for cavities with one dimension much larger than the other two. The advantages of this formulation for parametric studies will be illustrated by two cases: computing the RCS of an air-intake terminated with a flat PEC or a fan (CHANNEL) and of an antenna structure coupled to an electronic feed with a varying parameter (DENEB). Numerical as well as experimental results are presented.

References

  1. P. H. Pathak and R. J. Burkholder, "Modal, ray and beam techniques for analyzing the EM scattering by open-ended waveguide cavities", IEEE Trans. Antennas Propagat., vol. 37, pp.  635-647, May  1989.
  2. P. R. Rousseau and R. J. Burkholder, "A hybrid approach for calculating the scattering from obstacles within large open cavities", IEEE Trans. Antennas Propagat., vol. 43, pp.  1068-1075, Oct.  1995.
  3. T. T. Chia, J. Burkholder and R. Lee, "The application of FDTD in hybrid methods for cavity scattering analysis", IEEE Trans. Antennas Propagat., vol. 43, pp.  1082-1090, Oct.  1995.
  4. D. C. Ross, J. L. Volakis and H. Hannastassiu, "Hybrid finite element-modal analysis of jet engine inlet scattering", IEEE Trans. Antennas Propagat., vol. 43, pp.  277-285, Mar.  1995.
  5. X. Yuan, D. R. Lynch and J. W. Strohbehn, "Coupling of finite element and moment methods for electromagnetic scattering from inhomogeneous objects", IEEE Trans. Antennas Propagat., vol. 38, pp.  386-391, Mar.  1990.
  6. J. C. Cheng, N. I. Dib and L. P. B. Kathei, "Theoretical modeling of cavity-backed patch antenas using a hybrid technique", IEEE Trans. Antennas Propagat., vol. 43, pp.  1003-1013, Sept.  1995.
  7. T. M. Wang and H. Ling, "Electromagnetic scattering from three-dimensional cavities via a connection scheme", IEEE Trans. Antennas Propagat., vol. 39, pp.  1505-1513, Oct.  1991.
  8. J. M. Jin and J. L. Volakis, "A finite element-boundary integral formulation for scattering by three-dimensional cavity-backed apertures", IEEE Trans. Antennas Propagat., vol. 39, pp.  97-104, Jan.  1991.
  9. J. J. Angélini, C. Soize and P. Soudais, "Hybrid numerical method for harmonic 3-D Maxwell equations: scattering by a mixed conducting and inhomogeneous anisotropic dielectric medium", IEEE Trans. Antennas Propagat., vol. 41, pp.  66-76, Jan.  1993.
  10. P. Soudais, "Computation of the electromagnetic scattering from complex 3D objects by a hybrid FEM/BEM method", J. Electromagn. Waves Applicat., vol. 9, pp.  871-886, July  1995.
  11. P. Soudais, H. Stève and F. Dubois, "Scattering from several test-objects computed by 3D hybrid IE/PDE methods", IEEE Trans. Antennas Propagat., vol. 47, pp.  646-653, Apr.  1999.
  12. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, 2 ed.   Cambridge, MA: Cambrige Univ. Press, 1990.
  13. A. Barka, A. Cosnuau and F. X. Roux, "Parallel organization of air intake electromagnetic mode computation on a distributed memory machine", La Recherche Aérospatiale, no. 6, 1995.
  14. S. M. Rao, D. R. Wilton and A. W. Glisson, "Electromagnetic scattering by surfaces of any shape", IEEE Trans. Antennas Propagat., vol. AP-30, pp.  409-418, May  1982.
  15. J. C. Nedelec, "Mixed finite elements in R3", Numerische Mathematik, vol. 35, pp.  315-341, 1980.
  16. G. L. James, "Analysis and design of TE11 to HE11 corrugated cylindrical waveguide mode convectors", IEEE Trans. Microwave Theory Tech., vol. MTT-29, Oct.  1981.