TY - GEN
T1 - An efficient iterative solver for the modes in a dielectric waveguide
AU - Radhakrishnan, Kaladhar
AU - Chew, Weng Cho
N1 - Publisher Copyright:
© 1998 IEEE.
PY - 1998
Y1 - 1998
N2 - Two Krylov subspace based methods were used to solve the sparse matrix generated by the finite difference formulation. The use of the bi-Lanczos algorithm allows this method to be computationally competitive with other approximate methods while the use of the finite difference formulation makes this method versatile enough to handle complicated waveguide structures. The BiCG based algorithm reduces the storage requirements to O(N) and thus can handle problems with several hundred thousand calculations. The speed of this algorithm can be further enhanced hy using a non-uniform grid in the solution space outside the dieletric waveguide. By using a non-uniform grid, the size of the artificial boundary can be greatly increased which limits the error in the results near cutoff frequencies.
AB - Two Krylov subspace based methods were used to solve the sparse matrix generated by the finite difference formulation. The use of the bi-Lanczos algorithm allows this method to be computationally competitive with other approximate methods while the use of the finite difference formulation makes this method versatile enough to handle complicated waveguide structures. The BiCG based algorithm reduces the storage requirements to O(N) and thus can handle problems with several hundred thousand calculations. The speed of this algorithm can be further enhanced hy using a non-uniform grid in the solution space outside the dieletric waveguide. By using a non-uniform grid, the size of the artificial boundary can be greatly increased which limits the error in the results near cutoff frequencies.
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U2 - 10.1109/APS.1998.690797
DO - 10.1109/APS.1998.690797
M3 - Conference contribution
AN - SCOPUS:0031617591
SN - 0780344782
SN - 9780780344785
T3 - IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
SP - 1492
EP - 1495
BT - IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998
Y2 - 21 June 1998 through 26 June 1998
ER -