An efficient method using finite elements and the surface integral equation to solve the problem of scattering from infinite periodic conducting grating
Article first published online: 13 JAN 2011
Copyright 2011 by the American Geophysical Union.
Volume 46, Issue 1, February 2011
How to Cite
2011), An efficient method using finite elements and the surface integral equation to solve the problem of scattering from infinite periodic conducting grating, Radio Sci., 46, RS1001, doi:10.1029/2010RS004466., and (
- Issue published online: 13 JAN 2011
- Article first published online: 13 JAN 2011
- Manuscript Accepted: 20 OCT 2010
- Manuscript Revised: 20 SEP 2010
- Manuscript Received: 18 JUN 2010
- infinite array;
- finite element method;
- surface integral equation;
- quasi-periodic Green's function
 This work presents a novel finite element solution to the problem of scattering from an infinite periodic array of two-dimensional cavities in metallic walls. The finite element formulation is applied inside only one cavity to derive a linear system of equations associated with the nodal field values within the cavity. The surface integral equation employing the quasi-periodic Green's function is applied at the opening of the cavity as a boundary constraint to truncate the computational domain. Effect of the infinite array of cavities is incorporated into the system of the nodal equations by the quasi-periodic Green's function. The method presented here is highly efficient in terms of computing resources, versatile and accurate in comparison to previously published methods. The near and far fields are generated for array of cavities with different dimensions, periodicity, and fillings. The numerical simulation results are in close agreement with methods published earlier.