Iterative approach as alternative to S-matrix in modal methods

Igor Semenikhin; Mauro Zanuccoli

doi:10.1117/12.2180437

18 December 2014 Iterative approach as alternative to S-matrix in modal methods

Igor Semenikhin, Mauro Zanuccoli

Proceedings Volume 9440, International Conference on Micro- and Nano-Electronics 2014; 944015 (2014) https://doi.org/10.1117/12.2180437
Event: The International Conference on Micro- and Nano-Electronics 2014, 2014, Zvenigorod, Russian Federation

Abstract

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.

Citation Download Citation

Igor Semenikhin and Mauro Zanuccoli "Iterative approach as alternative to S-matrix in modal methods", Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 944015 (18 December 2014); https://doi.org/10.1117/12.2180437

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