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Analytical Solution of Transverse Electric and Transverse Magnetic Mode Electromagnetic Wave Equations in Left-Handed Materials
Abstract
Artificial composite materials that focus on electromagnetic waves are known as metamaterials. Metamaterials are artificial materials engineered by human technology, possessing a geometric structure built from microscopic, engineerable materials. The goal is for the new material to be able to direct light, sound, and waves, making it useful. Metamaterials are known as left-handed materials (LHMs), but the concept of metamaterials is broader than LHM. The purpose of this research is to solve the transverse electric (TE) and transverse magnetic (TM) electromagnetic wave equations in left-handed materials (LHMs) using the Nikiforov-Uvarov approach and to analyze the results of the energy spectrum equation from the solution of the transverse electric (TE) and transverse magnetic (TM) electromagnetic wave equations in left-handed medium (LHM). This research was conducted using Matlab software. The material being studied is the positive-negative gradient profile in an LHM medium thru variations in dielectric permittivity and/or magnetic permeability. Energy and wave equations were obtained with their visualization.
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H. Zheng, Z. Fan, and J. Li, “Simulation of Electromagnetic Wave Propagation in Negative Index Materials by the Localized RBF-Collocation Method,” Engineering Analysis with Boundary Elements, vol. 136, pp. 204–212, 2022, doi: 10.1016/j.enganabound.2022.01.003.
J. B. Pendry, “Negative Refraction Makes a Perfect Lens,” Physical Review Letters, vol. 85, no. 18, pp. 3966–3969, 2000, doi: 10.1103/PhysRevLett.85.3966.
S. Lee and J. S. Popovics, “Applications of Physics-Informed Neural Networks for Property Characterization of Complex Materials,” RILEM Technical Letters, vol. 7, pp. 178–188, 2022, doi: 10.21809/rilemtechlett.2022.174.
A. V. Amirkhizi and S. Nemat-Nasser, “Composites with Tuned Effective Magnetic Permeability,” Journal of Applied Physics, vol. 102, no. 1, 2007, doi: 10.1063/1.2751084.
X. Pang, L. Wu, S. Yuan, and S. Zhu, “Applications of Electromagnetic Metamaterials in Reducing the Size of Antennas,” in Ninth International Conference on Energy Materials and Electrical Engineering (ICEMEE 2023), I. Bin Aris and J. Zhou, Eds., SPIE, 2024, p. 129790F, doi: 10.1117/12.3015473.
Y. Tamayama, K. Yasui, T. Nakanishi, and M. Kitano, “Electromagnetically Induced Transparency-Like Transmission in a Metamaterial Composed of Cut-Wire Pairs with Indirect Coupling,” Physical Review B, vol. 89, p. 075120, 2014, doi: 10.1103/PhysRevB.89.075120.
Z. Han, S. Ohno, and H. Minamide, “Electromagnetic Wave Tunneling from Metamaterial Antiparallel Dipole Resonance,” Advanced Photonics Research, vol. 2, no. 1, p. 2000186, 2021, doi: 10.1002/adpr.202000186.
X. Liu et al., “Computational Modeling of Wave Propagation in Plasma Physics over the Gilson–Pickering Equation,” Results in Physics, vol. 50, pp. 1–25, 2023, doi: 10.1016/j.rinp.2023.106579.
M. Dalarsson, M. Norgren, T. Asenov, and N. Doncov, “Arbitrary Loss Factors in Wave Propagation between Right-Handed and Left-Handed Media with Constant Impedance Throughout the Structure,” Progress in Electromagnetics Research, vol. 137, pp. 527–538, 2013, doi: 10.2528/PIER13013004.
M. Dalarsson and P. Tassin, “Analytical Solution for Wave Propagation through a Graded Index Interface between Right-Handed and Left-Handed Materials,” Optics Express, vol. 17, no. 8, p. 6747, 2009, doi: 10.1364/oe.17.006747.
S. Anantha Ramakrishna, “Physics of Negative Refractive Index Materials,” Reports on Progress in Physics, vol. 68, no. 2, pp. 449–521, 2005, doi: 10.1088/0034-4885/68/2/R06.
F. W. et al., “Schrodinger Equation Solution for Q-Deformed Scarf II Potential Plus Poschl–Teller Potential and Trigonometric Scarf Potential,” International Conference on Science and Applied Science, 2017.
V. Caligiuri, M. Palei, G. Biffi, S. Artyukhin, and R. Krahne, “A Semi-Classical View on Epsilon-Near-Zero Resonant Tunneling Modes in Metal/Insulator/Metal Nanocavities,” Nano Letters, vol. 19, no. 5, pp. 3151–3160, 2019, doi: 10.1021/acs.nanolett.9b00564.
DOI: https://doi.org/10.26877/lpt.v4i3.25060
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