Higher order finite element analysis of finite-by-infinite arrays

Zheng Lou, Jian Ming Jin

Research output: Contribution to journalArticlepeer-review


This paper describes a finite element analysis of finite-by-infinite arrays with arbitrary composition. The analysis employs higher order tetrahedral elements for discretization and imposes appropriate boundary conditions on the unit cell boundaries. The radiation boundary condition imposed on the array aperture is derived through a spectral- and a mixed-domain formulation. The two formulations are found to produce consistent numerical results. In addition to a general code using tetrahedral elements, a special code is also developed based on brick element discretization, which utilizes the conjugate gradient fast Fourier transform (CG-FFT) method. Both computer codes are applied to the analysis of several finite-by-infinite arrays and numerical examples are presented to demonstrate their accuracy and capability.

Original languageEnglish (US)
Pages (from-to)497-514
Number of pages18
Issue number7
StatePublished - Oct 2004


  • Antenna arrays
  • Electromagnetic scattering
  • Finite element analysis
  • Microstrip array
  • Numerical analysis

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Radiation
  • Electrical and Electronic Engineering


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