The continuously increasing complexity of opto-electronic devices and the rising demands of simulation accuracy lead to the need of solving very large systems of linear equations making iterative methods promising and attractive from the computational point of view with respect to direct methods. In particular, iterative approach potentially enables the reduction of required computational time to solve Maxwell’s equations by Eigenmode Expansion algorithms. Regardless of the particular eigenmodes finding method used, the expansion coefficients are computed as a rule by scattering matrix (S-matrix) approach or similar techniques requiring order of M³ operations. In this work we consider alternatives to the S-matrix technique which are based on pure iterative or mixed direct–iterative approaches. The possibility to diminish the impact of M³ -order calculations to overall time and in some cases even to reduce the number of arithmetic operations to M² by applying iterative techniques are discussed. Numerical results are illustrated to discuss validity and potentiality of the proposed approaches.

Date Published: 18 December 2014
PDF: 11 pages
Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 944015 (18 December 2014); doi: 10.1117/12.2180437

Published in SPIE Proceedings Vol. 9440:
International Conference on Micro- and Nano-Electronics 2014
Alexander A. Orlikovsky, Editor(s)