On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets

Michalski, Krzysztof A.; Mustafa, Mazin M.

doi:10.1098/rspa.2018.0288

Cited by 11 publications

(4 citation statements)

References 81 publications

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“…Like transparencies overlaying on original signal graph [12], one can mathematically hereby conceive of stacking 5 or 6 Riemann sheets like planes, possibly overlaying typically Riemann sheets with Planck thickness "h" [39][40][41]. Presently author will enumerate following listing only to explore later: (i) constructing on "Vacuum Genesis" original physics literature c speed of light graphic, how real time and proper time will act like outliers.…”

Section: Superposing Signal Superluminal Profile Graph Onto Proper Real Extension Timementioning

confidence: 99%

Physics Formalism Helmholtz Matrix to Coulomb Gage

Iyer¹

2021

Preprint

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Iyer Markoulakis Helmholtz Hamiltonian mechanics formalisms mathematically modeled physics with vortex rotational fields acting with gradient fields, typically in zero-point microblackhole general fields. Here, Helmholtz metrics have been gaged to Coulombic Hilbert metrics, representing Gilbertian and Amperian natures of electromagnetic fields out of the mechanical fields from Helmholtz Hamiltonian mechanics. This ansatz general gaging helps to properly isolate field effects – mechanical, electric, magnetic components within the analytical processes. Vacuum gravitational fields and the flavor Higgs-Boson matter inertial gravitational fields have been thus quantified extending to stringmetrics constructs matrix showing charge asymmetry gage metrics, having the power to analyze dark energy superluminal phase, dark matter luminal phase, and light matter subluminal phase. Interpreting particle physics gage matrix pointing to Dirac seas electrons, monopoles with positrons, electron-positron annihilation leading to energy production, relativistic energy generating matter, and both monopoles – vacuum and compressed out of vortex Helmholtz decomposition fields have been interpolated. Quantum ASTROPHYSICS gage metrix posits superluminal profile of signals velocity generating electron-positron chain like “curdling” action that is consistent with physics literature reporting nature electron photon observed oscillatory fields configurations. This helps proposing creation of neutrino antineutrino pair orthogonal to electron positron “curdling” planes, that may lead to formation of protonic hydrogen of stars or orthogonally muon. These aspects will explain receding or fast expanding universe with dark matter in terms of flavor metrics versus gage associating metrics flavor. Additional interpretations of virtual gravitational dipoles that have gravitational charge of opposite signs, reported per physics literature at Planck dimensions, that may originate at the center of supermassive blackhole. On the other hands, vacuum monopoles occur probably at infinity with cosmos extent.

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Section: Superposing Signal Superluminal Profile Graph Onto Proper Real Extension Timementioning

confidence: 99%

Physics Formalism Helmholtz Matrix to Coulomb Gage

Iyer¹

2021

Preprint

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“…[8][9][10][11]. The fact that these materials may exhibit a strong inplane anisotropy, with the conductivity tensor fully populated in the presence of magnetization and with a perpendicular applied magnetic field [3], complicates the theoretical analyses, especially when more than just a single conductive sheet is considered [12]. A method frequently adopted in the literature for this type of problem is the transfer matrix approach of thin-film optics, but with a modification to allow for the superposition of the transverse magnetic (TM) and transversal electric (TE) electromagnetic planar waves propagating in those systems [11,13,14].…”

Section: Introductionmentioning

confidence: 99%

“…A method frequently adopted in the literature for this type of problem is the transfer matrix approach of thin-film optics, but with a modification to allow for the superposition of the transverse magnetic (TM) and transversal electric (TE) electromagnetic planar waves propagating in those systems [11,13,14]. Other analytical methods have also been used, demonstrating the complexity of the theoretical analyses of the underlying physics, for example, the modal analyses [12]. Here we will adopt an approach incorporating the superposition of the TM and TE modes to calculate the dispersion relation of the surface magnon-polaritons in an interface formed by vacuum and a gyromagnetic medium with a graphene layer deposited at the interface between them and with a perpendicular applied magnetic field to control the mode frequencies and other characteristics.…”

Section: Introductionmentioning

confidence: 99%

Surface magnon-polaritons at a dielectric/graphene/gyromagnetic interface in a perpendicular applied magnetic field

Dantas¹,

Vasconcelos²,

Anselmo³

et al. 2023

J. Phys.: Condens. Matter

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We present a theoretical study of the surface magnon-polaritons at an interface formed by vacuum and a gyromagnetic medium (that can be either ferromagnetic or antiferromagnetic), when there is a graphene layer deposited between the media at the interface and a magnetic field is applied perpendicular to the interface. The retarded-mode dispersion relations are calculated by considering a superposition of TM and TE electromagnetic waves in both media. Our results reveal the appearance of the surface magnon-polariton modes (with frequencies typically of a few GHz) that do not exist in the absence of graphene at the interface. Also, a typical magnon-polariton dispersion relation with damping is revealed, including a resonant frequency that depends on the applied magnetic field. The effects of varying the doping levels, which modify the Fermi energies in the graphene, and varying the perpendicular applied magnetic field are presented, revealing a strong influence exerted by the presence of graphene on the surface magnon-polariton modes. Other effects include the control of the slope of the dispersion curves (with respect to the in-plane wave vector) for the modes as the Fermi energies of the graphene sheet are changed and the distinctive localization properties for the emerging surface modes.

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“…In the above-referenced paper [1], eqn (2.27) was misprinted. The corrected equation is given as follows:…”

mentioning

confidence: 99%

Correction to ‘On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets’

Michalski¹,

Mustafa²

2019

Proc. R. Soc. A.

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On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets

Cited by 11 publications

References 81 publications

Physics Formalism Helmholtz Matrix to Coulomb Gage

Physics Formalism Helmholtz Matrix to Coulomb Gage

Surface magnon-polaritons at a dielectric/graphene/gyromagnetic interface in a perpendicular applied magnetic field

Correction to ‘On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets’

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