Modal transmission line theory of plane wave excited layered media with multiple conductive anisotropic sheets at the interfaces

Michalski, Krzysztof A.

doi:10.1016/j.jqsrt.2019.01.010

Cited by 9 publications

(6 citation statements)

References 42 publications

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“…The T matrix method [8,9] is used to solve the isofrequency contours and spectral-domain Green function. To obtain the solution of spectral-domain TL voltage and current, we first express the voltages and currents within the n-th section of the TL network as forwardand backward-propagating voltage waves represented by column vectors w…”

Section: Appendix A: T Matrix Methodsmentioning

confidence: 99%

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On the surface plasmonic waves excited by a dipole above anisotropic and spatially dispersive two-dimensional surfaces of infinite extent in planarly layered media

Gu¹,

Michalski²

2022

Preprint

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The surface plasmonic waves excited by a vertical or horizontal oriented Hertzian dipole above anisotropic and spatially dispersive two-dimensional surfaces of infinite extent embedded in planarly layered uniaxial media is investigated using the dyadic Green function approach. The spectraldomain transmission line analogy Green function formulation and iso-frequency contours equations are derived. The methods to accurately and efficently evaluate the two-dimensional Fourier integral arisen from the spatial-domain Green function computation are also developed. To resolve the numerical inefficiency due to the highly oscillatory integrand and singularities of surface plasmonic waves possessing large wavenumber, two numerical strategies, the extrapolation of the real-axis integration combined with singularity subtraction, and the deformed vertical integration path, are proposed and applicable to a wide range of observation distance. As a demonstration of the proposed formulation, we compute the scattered fields of a vertical dipole above the graphene biased by drift current which exhibits significant spatial dispersion and show that its light-matter interaction can be significantly reinforced when placed above uniaxially epsilon-near-zero substrates. The proposed formulation may provide methodology for the computational analysis of two-dimensional materials and surface plasmonic waves.

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Section: Appendix A: T Matrix Methodsmentioning

confidence: 99%

“…This will arise issues when studying the surface wave propagating in structure comprised of thick layer. As a remedy, RT method can be utilized instead [8,9]. In our implementation, RT method is used for Green function computation and T matrix method is used for singularities tracking.…”

Section: B Spectral-domain Green Funcitonmentioning

confidence: 99%

On the surface plasmonic waves excited by a dipole above anisotropic and spatially dispersive two-dimensional surfaces of infinite extent in planarly layered media

Gu¹,

Michalski²

2022

Preprint

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“…Here, we provide the definitions for the matrix blocks constituting the interface matrix in equation (19). First, M 11 AB and M 22 AB , which involve the diagonal elements of the graphene conductivity tensor, are given by…”

Section: Appendixmentioning

confidence: 99%

“…The focus was on the influence of the magnetostatic field for the surface polaritons in graphene in the 500 GHz to 5 THz frequency range, where the author calculated the reflectance in an attenuated total reflection (ATR) set up [14] and associated the reflectance dip with the excitation of the surface polaritons. Michalski [22] used the modal transmission line theory to calculate the reflectivity and transmissivity rate in a multilayered system with multiple anisotropic conductive graphene sheets at the interfaces. He noted that the analysis of such structures is rendered non-trivial, because of the coupling between the transverse magnetic (TM) and TE polarization field caused by the graphene sheets.…”

Section: Introductionmentioning

confidence: 99%

Theory for polaritons in graphene photonic crystals in an applied magnetic field

Vasconcelos

Cottam

2020

J. Phys. D: Appl. Phys.

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The dispersion relations for bulk and surface plasmon-polaritons in a semi-infinite 1D photonic crystal interlayered with graphene are calculated in the presence of an applied magnetic field. The results are applied to SiO2 as the constituent material in geometry where the layers are arranged in a periodic array with the same layer thickness. The static magnetic field is applied perpendicular to the plane of layers. Numerical results are presented for the modes in THz range, up to 10 THz, to illustrate the important role of the applied magnetic field on the graphene sheets in modifying the polariton dispersion curves, especially for magnetic fields of the order of 1 T. It is found that the polariton frequencies and band gaps have a sensitive dependence on the electron scattering rate parameter (and hence the applied magnetic field strength) in the graphene sheets. Electromagnetic retardation effects are fully taken into account for the bulk bands, while for the surface modes (which are shown to have a novel non-reciprocal propagation characteristics) it is convenient to focus on the regime where retardation is small.

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“…Historically, there has been a desire to reformulate these methods in a numerically stable manner and several stabilized schemes have been developed in the past [6,24,12,36,13,19,15]. More recent works that call for well-conditioned formulations are reported in [18,4]. Numerical problems with the propagator formalism were early pointed out in [36], that stabilized the reflection problem by use of a spectral recursive transformation method.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of Evanescent Wave Propagation Operators

Andersson¹,

Sjöberg²,

Kristensson³

2023

PIER B

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This paper presents a stabilized scheme that solves the wave propagation problem in a general bianisotropic, stratified medium. The method utilizes the concept of propagators, i.e., the wave propagation operators that map the total tangential electric and magnetic fields from one plane in the slab to another. The scheme transforms the propagator approach into a scattering matrix form, where a spectral decomposition of the propagator enables separation of the exponentially growing and decaying terms in order to obtain a well-conditioned formulation. Multilayer structures can be handled in a stable manner using the dissipative property of the Redheffer star product for cascading scattering matrices. The reflection and transmission dyadics for a general bianisotropic medium with an isotropic half space on both sides of the slab are presented in a coordinate-independent dyadic notation, as well as the reflection dyadic for a bianisotropic slab with perfect electric conductor backing (PEC). Several numerical examples that illustrate the performance of the stabilized algorithm are presented.

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Modal transmission line theory of plane wave excited layered media with multiple conductive anisotropic sheets at the interfaces

Cited by 9 publications

References 42 publications

On the surface plasmonic waves excited by a dipole above anisotropic and spatially dispersive two-dimensional surfaces of infinite extent in planarly layered media

On the surface plasmonic waves excited by a dipole above anisotropic and spatially dispersive two-dimensional surfaces of infinite extent in planarly layered media

Theory for polaritons in graphene photonic crystals in an applied magnetic field

Stabilization of Evanescent Wave Propagation Operators

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