An accurate and systematic surface-wave pole location method for multilayered media

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4 Scopus citations


Finding the surface-wave modes in multilayered media is a problem that is of great importance in many full-wave numerical electromagnetic solvers. In this communication, an efficient and systematic method is proposed to locate all of the surface-wave poles for general multilayered structures. It is observed that the characteristic equations can be cast into a function composed of εri, kz,i and Ti = tan(k z,idi), where the Ti occur for the substrates that have finite thicknesses. The pole location method is carried out in the complex kzM -plane, where kzM represents the wave number, along the z-axis, for the substrate with the maximum permittivity. Two sets of critical points are determined in the kzM-plane according to the parameters of the structure. Since there is at most one pole between two consecutive critical points, these critical points establish proper limits for the zero search algorithm. Muller's method can thus be applied to find the pole between the two consecutive critical points if it exists. The proposed method is validated by means of several numerical examples.

Original languageEnglish (US)
Article number6671975
Pages (from-to)997-1001
Number of pages5
JournalIEEE Transactions on Antennas and Propagation
Issue number2
StatePublished - Feb 2014


  • Green's function
  • Multilayered media
  • Pole location
  • Surface wave modes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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