TY - GEN
T1 - Efficient MoM analysis of polarization selective surfaces using trefoil knot arrays
AU - Hagen, J. V.
AU - Mittra, R.
AU - Werner, D. H.
PY - 1999/1/1
Y1 - 1999/1/1
N2 - The electromagnetic properties of (p,q) torus knots consisting of perfectly conducting thin wires were investigated previously. The (2,3) or trefoil knot has the unique property that its forward scattering characteristics depend on the handedness of an incident circularly polarized wave. This property is conserved when placing the knots in an array. We describe an efficient method of moments (MoM) approach that is especially suited for the analysis of arrays comprised of these knots. In the MoM, solving the linear system of equations is the most time consuming part when the number of unknowns becomes large. For certain classes of problems, the use of preconditioning techniques allows us to reduce the solution time considerably. Array-type of structures can be efficiently analyzed when using the block-LU preconditioner, as outlined. Also, we present the spectral radius as a criterion for assessing the convergence of the method. Finally, we apply the block-LU method to investigate the electromagnetic scattering properties of a medium sized array of trefoil knots.
AB - The electromagnetic properties of (p,q) torus knots consisting of perfectly conducting thin wires were investigated previously. The (2,3) or trefoil knot has the unique property that its forward scattering characteristics depend on the handedness of an incident circularly polarized wave. This property is conserved when placing the knots in an array. We describe an efficient method of moments (MoM) approach that is especially suited for the analysis of arrays comprised of these knots. In the MoM, solving the linear system of equations is the most time consuming part when the number of unknowns becomes large. For certain classes of problems, the use of preconditioning techniques allows us to reduce the solution time considerably. Array-type of structures can be efficiently analyzed when using the block-LU preconditioner, as outlined. Also, we present the spectral radius as a criterion for assessing the convergence of the method. Finally, we apply the block-LU method to investigate the electromagnetic scattering properties of a medium sized array of trefoil knots.
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U2 - 10.1109/APS.1999.789529
DO - 10.1109/APS.1999.789529
M3 - Conference contribution
AN - SCOPUS:84964832176
T3 - IEEE Antennas and Propagation Society International Symposium: Wireless Technologies and Information Networks, APS 1999 - Held in conjunction with USNC/URSI National Radio Science Meeting
SP - 1202
EP - 1205
BT - IEEE Antennas and Propagation Society International Symposium
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1999 IEEE Antennas and Propagation Society International Symposium, APSURSI 1999
Y2 - 11 July 1999 through 16 July 1999
ER -