DocumentCode :
1526516
Title :
Hybrid FE/BI modeling of 3-D doubly periodic structures utilizing triangular prismatic elements and an MPIE formulation accelerated by the Ewald transformation
Author :
Eibert, Thomas F. ; Volakis, John L. ; Wilton, Donald R. ; Jackson, David R.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Volume :
47
Issue :
5
fYear :
1999
fDate :
5/1/1999 12:00:00 AM
Firstpage :
843
Lastpage :
850
Abstract :
We present the formulation of a finite-element/boundary-integral method for the analysis of three-dimensional doubly periodic structures based on arbitrary nonorthogonal lattice configurations. The method starts from a functional description of the field problem where only a single unit cell of the array is considered. This unit cell is meshed with triangular prismatic volume elements and the electric field intensity is discretized with edge-based expansion functions. On the sidewalls of the unit cell, phase boundary conditions are employed to relate the fields on opposing walls of the unit cell. On the top and/or bottom unit cell planar surfaces, the mesh is terminated using a mixed potential integral equation. The required space-domain periodic Green´s function is calculated after applying the Ewald (1921) transformation to convert the slowly converging series representation into two rapidly converging series. The method is validated for simple slot and strip frequency-selective surfaces as well as microstrip dipole arrays. More complex geometries investigated are slot-coupled microstrip patches, photonic bandgap materials, and the so-called “artificial puck plate” frequency-selective surface bandpass structure
Keywords :
Green´s function methods; boundary integral equations; convergence of numerical methods; electric potential; electromagnetic fields; finite element analysis; frequency selective surfaces; microstrip antennas; periodic structures; photonic band gap; 3D doubly periodic structures; Ewald transformation; FSS bandpass structure; MPIE formulation; artificial puck plate; converging series representation; edge-based expansion functions; electric field intensity; field problem; finite-element/boundary-integral method; hybrid FE/BI modeling; microstrip dipole arrays; mixed potential integral equation; nonorthogonal lattice configurations; phase boundary conditions; photonic bandgap materials; slot frequency-selective surface; slot-coupled microstrip patches; space-domain periodic Green´s function; strip FSS; triangular prismatic volume elements; unit cell; Bismuth; Boundary conditions; Finite element methods; Frequency; Green´s function methods; Integral equations; Iron; Lattices; Periodic structures; Termination of employment;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/8.774139
Filename :
774139
Link To Document :
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