TY - GEN
T1 - Eigenvalue computation of open periodically composed waveguides by series expansion
AU - Weitsch, Y.
AU - Eibert, T. F.
PY - 2011
Y1 - 2011
N2 - Eigenvalues of periodically constituted waveguides with complicated material distribution are efficiently determined, where eigensolvers in software packages show difficulties in finding the eigensolutions. Moreover, the treated waveguide structures are open, causing even more trouble with available numerical solvers or rather demanding procedures within analytical approaches. Since open configurations are essential for the evaluation of radiating structures, we suggest to convert the open problem setting into a closed equivalent configuration but without disturbing the actual field behaviour. Thus, the original continuous mode spectrum is turned into a discrete and proper set of eigenmodes. The field solution of the periodically modified waveguide is obtained by series expansion with the eigensolutions of the homogeneous background waveguide as basis functions. An eigenproblem is still to solve, but it is considerably reduced in size and easy to solve by the use of a-priori information.
AB - Eigenvalues of periodically constituted waveguides with complicated material distribution are efficiently determined, where eigensolvers in software packages show difficulties in finding the eigensolutions. Moreover, the treated waveguide structures are open, causing even more trouble with available numerical solvers or rather demanding procedures within analytical approaches. Since open configurations are essential for the evaluation of radiating structures, we suggest to convert the open problem setting into a closed equivalent configuration but without disturbing the actual field behaviour. Thus, the original continuous mode spectrum is turned into a discrete and proper set of eigenmodes. The field solution of the periodically modified waveguide is obtained by series expansion with the eigensolutions of the homogeneous background waveguide as basis functions. An eigenproblem is still to solve, but it is considerably reduced in size and easy to solve by the use of a-priori information.
UR - https://www.scopus.com/pages/publications/80054987105
U2 - 10.1109/APS.2011.5996707
DO - 10.1109/APS.2011.5996707
M3 - Conference contribution
AN - SCOPUS:80054987105
SN - 9781424495634
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 321
EP - 324
BT - 2011 IEEE International Symposium on Antennas and Propagation - Proceedings
T2 - 2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011
Y2 - 3 July 2011 through 8 July 2011
ER -