Spatial modifications of three-dimensional elliptic Gaussian beam scattered by two-dimensional periodic array.

Main Article Content

A. Gribovsky
O. Yeliseyev

Abstract

The diffraction problem of a three-dimensional elliptic p- polarized Gaussian beam on an aperture array of rectangular holes is solved. The new algorithm for the solution of three-dimensional scattering problems of linearly polarized wave beams on two-dimensional periodic structures is offered. The given algorithm allows exploring of wave beams with any allocation of a field on cross section. The case of oblique incidence of linearly polarized elliptic Gaussian wave beam on two-dimensional periodic structure is viewed. As structure the rectangular waveguides phased antenna array is chosen. The elliptic shape of a beam cross section gives the chance to proportion energy of an incident field in a plane of an antenna array in the chosen direction. The frequency dependence of the reflection coefficient intensity for the Gaussian beam is calculated. For the analysis of patterns of the reflected and transmitted beams in a far zone the frequencies on which the strongest interaction between next waveguides channels is observed have been chosen. Dynamics of patterns transformation of the reflected and transmitted beams depending on the form of cross-section and a polarization direction of an incident beam on different frequencies is investigated. It is determined that shape of the pattern of reflected and transmitted beams (symmetry, asymmetry, bifurcation, amplitude, width) depends on chosen spatial orientation of the ellipse axes of the cross section in the incident beam. Frequency ranges, in which the form of the reflected and transmitted beams is not Gaussian, are defined. The nature of transformation of the patterns of scattered beams was examined. Narrowing effect of the pattern of transmitted beam and deformation of the pattern of reflected beam is detected. A physical explanation of these effects is given. The results are presented in the form of two- and three-dimensional patterns of the scattered field of beams in the far field.

Downloads

Download data is not yet available.

Article Details

How to Cite
Gribovsky, A., & Yeliseyev, O. (2012). Spatial modifications of three-dimensional elliptic Gaussian beam scattered by two-dimensional periodic array. Advanced Electromagnetics, 1(1), 11-18. https://doi.org/10.7716/aem.v1i1.8
Section
Research Articles

References


  1. T. Tamir, H. L. Bertoni, Lateral displacement of optical beams at multilayered and periodic structures, Journal of the Optical Society of America, Vol. 61, No. 10, 1397-1413, October 1971.
    View Article

  2. A. V. Gribovsky, A new method of controlling the radiation in waveguide phased array, Telecommunications and Radio Engineering, Vol. 61, No. 1, 58-66, 2004.
    View Article

  3. A. V. Gribovsky, S. L. Prosvirin, Scattering of a wave beam by a reflected array made of rectangular waveguides, Journal of Communications Technology and Electronics, Vol. 42, No. 9, 961-972, 1997.

  4. S. S. Tretyakova, O. A. Tretyakov, V. P. Shestopalov, Wave beam diffraction on plane periodical structures, Radiotekhnika & Electronica, Vol. 17, 1366–1373, July 1972 (in Russian).

  5. S. Y. Shin, L. B. Felsen, Lateral shift of totally reflected Gaussian beams, Radio Sci., Vol. 12, 551–564, July 1977.
    View Article

  6. L. N. Litvinenko, S.L. Prosvirnin, Spectral scattering operators in problems of wave diffraction on flat screens, Nauk. Dumka, 1984.

  7. O. A. Godin, Diffraction theory of lateral shift of bounded wave beams during reflection,Zh. Tekh. Fiz., Vol. 54, No. 4, 2094–2104, 1984; Vol. 55, No. 2, 17–25, 1985 (in Russian).

  8. R. P. Riesz, R. Simon, Reflection of Gaussian beam from a dielectric slab, J. Opt. Soc. Am. A, Vol. 2, 1809–1817, 1985.
    View Article

  9. J. Maciel, L. Felsen, Gaussian beam analysis of propagation from an extended plane aperture distribution through dielectric layers, IEEE Trans. Antennas Propagat., Vol. AP-38, 1607–1624, October 1990.
    View Article

  10. S. N. Shulga, Two-dimensional wave beam scattering on an anisotropic half-space with anisotropic inclusion, Optics and Spectroscopy, Vol. 87, 503–509, March 1999 (in Russian).

  11. V. R. Tuz, Three-dimensional Gaussian beam scattering from a periodic sequence of bi-isotropic and material layers, Progress In Electromagnetics Research B, Vol. 7, 53-73, 2008.
    View Article

  12. Z. Wu, L. Guo, Electromagnetic scattering from a multilayered cylinder arbitrarily located in a Gaussian beam, a new recursive algorithms, Progress In Electromagnetics Research, PIER, Vol. 18, 317-333, 1998.
    View Article

  13. T. Shen, W. Dou, Z. Sun, Gaussian beam scattering from a semicircular channel in a conducting plane, Progress In Electromagnetics Research, PIER, Vol. 16, 67-85, 1997.
    View Article

  14. W. T. Dong, L. Gao, C. W. Qiu, Goos-Hänchen shift at the surface of chiral negative refractive media, Progress In Electromagnetics Research, PIER, Vol. 90, 255-268, 2009.
    View Article

  15. A. V. Gribovsky, O.A. Yeliseyev, Gaussian beam scattering on two-dimensional periodic aperture array, Progress In Electromagnetics Research B, Vol. 31, 323-337, 2011.

  16. A. V.Gribovsky, S. L. Prosvirin, I. I. Reznik, Reflective phased array antenna of rectangular waveguides of finite depth, Radio Physics and Radio Astronomy, Vol. 2, No.1, 52-60, 1997 (in Russian).

  17. A. V.Gribovsky and O.A. Yeliseyev, The elliptic Gaussian beam scattering on phased antenna array with rectangular waveguides, Progress In Electromagnetics Research M, Vol. 22, 109-121, 2012.
    View Article