@misc{10481/70392,
year = {2021},
url = {http://hdl.handle.net/10481/70392},
abstract = {A reformulation of the Transmission Line Matrix (TLM) method is presented to model
non-dispersive anisotropic media. Two TLM-based solutions to solve this problem can already be
found in the literature, each one with an interesting feature. One can be considered a more conceptual
approach, close to the TLM fundamentals, which identifies each TLM in Maxwell’s equations with
a specific line. But this simplicity is achieved at the expense of an increase in the memory storage
requirements of a general situation. The second existing solution is a more powerful and general
formulation that avoids this increase in memory storage. However, it is based on signal processing
techniques and considerably deviates from the original TLM method, which may complicate its
dissemination in the scientific community. The reformulation presented in this work exploits the
benefits of both methods. On the one hand, it maintains the direct and conceptual approach of the
original TLM, which may help to better understand it, allowing for its future use and improvement by
other authors. On the other hand, the proposal includes an optimized treatment of the signals stored
at the stub lines in order to limit the requirement of memory storage to only one accumulative term
per field component, as in the original TLM versions used for isotropic media. The good behavior of
the proposed algorithm when applied to anisotropic media is shown by its application to different
situations involving diagonal and off-diagonal tensor properties.},
organization = {Project FIS2017-90102-R of the Ministry of
Economy and Competitiveness (MINECO),},
organization = {European Regional Development
Fund (FEDER) and the Ministry of Education, Science, and Sport of Spain through the FPU grants for
PhD studentship (reference: FPU15/04291)},
publisher = {MDPI},
keywords = {TLM method},
keywords = {Anisotropic media},
keywords = {Low-frequency numerical methods},
title = {A New Approach to the Modeling of Anisotropic Media with the Transmission Line Matrix Method},
doi = {10.3390/electronics10172071},
author = {Porti Durán, Jorge Andrés and Salinas Extremera, Alfonso and Rodríguez Camacho, Jesús and Fornieles Callejón, Jesús Francisco},
}