Two-Dimensional Narrow-Waisted Gaussian Beam Analysis of Pulsed Propagation from Extended Planar One-Dimensional Aperture Field Distributions Through Planar Dielectric Layers

  • Vincenzo Galdi
  • Leopold B. Felsen


Propagation of electromagnetic (EM) wavefields in the presence of layered dielectric media is a problem of long-standing interest, with applications to antenna radome design, guided propagation, etc. For this class of problems, most available analytic (rigorous and approximate) approaches are in the frequency domain (FD).1,2 With a few exceptions,3, 4, 5, 6, 7 time domain (TD) analysis is typically pursued via inversion from the FD. However, advances in ultra-wideband technology and the consequent more frequent use of spacetime highly localized signals in communication and sensing systems motivate direct time domain (TD) analysis and processing, which is better matched to the short-pulse wave phenomenology and can therefore be expected to yield better numerical efficiency as well as deeper physical insight. These considerations have led to our investigation of a direct TD formulation of a previously developed FD Gabor-based narrow-waisted (NW) quasiray Gaussian beam (GB) algorithm for propagation of aperture-excited wave fields through planar dielectric layers. This approach is based on a NW-GB discretized decomposition of the aperture field distribution on the Gabor lattice and permits efficient quasi-real complex ray tracing (via the complex source point (CSP) method) of the thereby excited individual basis beams through the environment, with eventual recombination to synthesize the total field at the observer. In the FD, this approach has been applied successfully to propagation through arbitrarily shaped dielectric layers, for both two-dimensional (2-D) fields radiated by 1-D aperture distributions,8,9 and 3-D fields radiated by 2-D aperture distributions.10 Accurate predictions over calibrated parameter ranges have been obtained with modest computational effort. Basically, when dealing with electrically large domains, the NW-GB scheme preserves the favorable computational features of standard ray-optical techniques, without failing in typical rayfield transition regions.


Dielectric Layer Gaussian Beam Pulse Beam Aperture Distribution Short Pulse Radiation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L.B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice Hall, Englewood Cliffs, 1973; Classic reissue, IEEE Press, Piscataway, 1994).Google Scholar
  2. 2.
    L.M. Brckhovskikh, Waves in Layered Media (Academic Press, New York, 1980).Google Scholar
  3. 3.
    L.B. Felsen and F. Niu, Spectral analysis and synthesis options for short pulse radiation from a point dipolc in a grounded dielectric layer, IEEE Trans. Antennas Propagat. 41(6), 747–754 (1993).CrossRefGoogle Scholar
  4. 4.
    F. Niu and L.B. Felsen, Time-domain leaky modes on layered media: dispersion characteristics and synthesis of pulsed radiation, IEEE Trans. Antennas Propagat. 41(6), 755–761 (1993).CrossRefGoogle Scholar
  5. 5.
    F. Niu and L.B. Felsen, Asymptotic analysis and numerical evaluation of short pulse radiation from a point dipolc in a grounded dielectric layer, IEEE Trans. Antennas Propagat. 41(6), 762–769 (1993).CrossRefGoogle Scholar
  6. 6.
    R.W.P. King and S.S. Sandler, The electromagnetic field of a vertical electric dipole in the presence of a three-layered region, Radio Sci. 29(1), 97–113 (1994).CrossRefGoogle Scholar
  7. 7.
    A.G. Tijhuis and A.R. Bretones, Transient excitation of a layered dielectric medium by a pulsed electric dipolc, IEEE Trans. Antennas Propagat. 48(10), 1673–1684 (2000).CrossRefGoogle Scholar
  8. 8.
    J.J. Maciel and L.B. Felsen, Gaussian beam analysis of propagation from an extended aperture distribution through dielectric layers, Part I-plane layer, IEEE Trans. Antennas Propagat. 38(10), 1607–1617 (1990).CrossRefGoogle Scholar
  9. 9.
    J.J. Maciel and L.B. Felsen, Gaussian beam analysis of propagation from an extended aperture distribution through dielectric layers, Part II-circular cylindrical layer, IEEE Trans. Antennas Propagat. 38(10), 1618–1624(1990).CrossRefGoogle Scholar
  10. 10.
    J.J. Maciel and L.B. Felsen, Gabor-based narrow-waisted Gaussian beam algorithm for transmission of aperture-cxcitcd 3D vector fields through arbitrarily shaped 3D dielectric layers, to be published in Radio Sci., 38(2) (2002).Google Scholar
  11. 11.
    V. Galdi, L.B. Felsen, and D.A. Castañon, Narrow-waisted Gaussian beam discretization for two-dimensional time-dependent radiation from large apertures, IEEE Trans. Antennas Propagat. 49(9), 1322–1332 (2001).CrossRefGoogle Scholar
  12. 12.
    V. Galdi and L.B. Felsen, Two-dimensional pulsed propagation from extended aperture field distributions through planar dielectric layers via quasi-ray Gaussian beams, to be published in IEEE Trans. Antennas and Propagat., 51(6) (2003).Google Scholar
  13. 13.
    W.D. Wang and G.A. Deschamps, Application of complex ray tracing to scattering problems, Proc. IEEE 62(11), 7541–7551 (1974).Google Scholar
  14. 14.
    X.J. Gao and L.B. Felsen, Complex ray analysis of beam transmission through two-dimensional radomes, IEEE Trans. Antennas Propagat. 33(9), 963–975 (1985).CrossRefGoogle Scholar
  15. 15.
    M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Vincenzo Galdi
    • 1
  • Leopold B. Felsen
    • 2
    • 3
  1. 1.Waves Group, Department of EngineeringUniversity of SannioItaly
  2. 2.Department of Aerospace and Mechanical Engineering and Department of Electrical and Computer EngineeringBoston UniversityBoston
  3. 3.Polytechnic UniversityBrooklynNew York

Personalised recommendations