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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2019-12-22
Shift Operator-TLM Method for Modeling Gyroelectric Media
By
Soufiane El Adraoui,

    Dr. Soufiane El Adraoui

    Department of Physics, LaSIT Laboratory, Electronics and Microwave Group, Faculty of Sciences

    Abdelmalek Essaadi University

    Morocco

    Homepage

Khalid Mounirh,

    Dr. Khalid Mounirh

    Department of Physis

    Abdelmalek Essaadi University

    Morocco

    Homepage

Mohamed Iben Yaich,

    Dr. Mohamed Iben Yaich

    Faculty of Sciences

    Abdelmalek Essaadi University

    Morocco

    Homepage

Mohsine Khalladi

    Prof. Mohsine Khalladi

    Faculty of Sciences

    Abdelmalek Essaadi University

    Morocco

    Homepage

Progress In Electromagnetics Research M, Vol. 87, 189-197, 2019
doi:10.2528/PIERM19081803 | Google Scholar

Abstract
In this paper, an efficient Transmission Line Matrix (TLM) approach based on the shift operator (SO) has been developed to model electromagnetic wave interactions with gyroelectric media. The main idea of this technique is to formulate the electric current density vector components by introducing the equivalence between time differential operator ϑ/ϑt and discrete time shift operator z. A concise formulation of voltage sources modeling the frequency dispersive properties of gyroelectric media is then deduced and implemented. Numerical simulations illustrate the Faraday rotation phenomenon in time domain, and in the frequency domain, reflection and transmission coefficients of left hand circular polarization and right-hand circular polarization waves are also calculated. A comparison of SO-TLM scheme with five other approches according to the criteria of accuracy and CPU time is presented. Numerical experiments show that SO-TLM provides the most accurate and fastest results.
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Citation
Soufiane El Adraoui, Khalid Mounirh, Mohamed Iben Yaich, and Mohsine Khalladi, "Shift Operator-TLM Method for Modeling Gyroelectric Media," Progress In Electromagnetics Research M, Vol. 87, 189-197, 2019.
doi:10.2528/PIERM19081803
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