TY - GEN
T1 - A finite difference mode solver based on domain decomposition
AU - Huang, Yue Xia
AU - Lu, Ya Yan
PY - 2006/4
Y1 - 2006/4
N2 - A finite difference method usually gives rise to large matrix eigenvalue problems when it is used to discretize waveguide mode problems. Iterative methods exist and they typically have a slow convergence. We develop a domain decomposition method in connection with the Rayleigh Quotient Iteration. The method has a fast convergence, so that eigenvalues (of the discretized problem) are computed to full precision in only a few iterations. The required number of operations in each iteration is significantly reduced by the domain decomposition technique. © 2006 Optical Society of America.
AB - A finite difference method usually gives rise to large matrix eigenvalue problems when it is used to discretize waveguide mode problems. Iterative methods exist and they typically have a slow convergence. We develop a domain decomposition method in connection with the Rayleigh Quotient Iteration. The method has a fast convergence, so that eigenvalues (of the discretized problem) are computed to full precision in only a few iterations. The required number of operations in each iteration is significantly reduced by the domain decomposition technique. © 2006 Optical Society of America.
UR - http://www.scopus.com/inward/record.url?scp=85086614815&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85086614815&origin=recordpage
U2 - 10.1364/ipra.2006.itua5
DO - 10.1364/ipra.2006.itua5
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 1557528071
SN - 9781557528070
T3 - Optics InfoBase Conference Papers
BT - Integrated Photonics Research and Applications/Nanophotonics 2006
PB - Optical Society of America
T2 - Integrated Photonics Research and Applications 2006 (IPRA 2006)
Y2 - 24 April 2006 through 24 April 2006
ER -