An Operator Absorbing Boundary Condition for the Absorption of Electromagnetic Waves in Dispersive Media

Abdulkareem, Buraq; Bérenger, Jean-Pierre; Costen, Fumie; Himeno, Ryutaro; Yokota, Hideo

doi:10.1109/tap.2018.2796386

Cited by 4 publications

(1 citation statement)

References 13 publications

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“…Based on minimizing the error between approximate and exact dispersion relations, Peng et al [4] presented a fourth-order Higdon's ABC with optimized coefficients for the simulation of acoustic equation, where numerical test show its best absorbing effect and efficiency among several artificial absorbing boundaries. Based on physical background, Berenger et al [5] found that the first-order Higdon's ABC can be explained by a traveling wave absorbed in a dispersive medium.…”

Section: Introductionmentioning

confidence: 99%

A stable implementation of multiple Higdon’s absorbing boundary condition for Maxwell’s equations

Rengang¹

2021

Preprint

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Highlights 1) This letter presents a stable implementation of Higdon’s ABC at multiple layers without attenuation factor. 2) The multiple Higdon’s ABC works well with wide-band frequency and ultra-thin layers, such as three. 3) Optimal parameters of the multiple Higdon’s ABC are presented in this letter. 4) The optimal angels of the multiple Higdon’s ABC satisfy a circle equation.

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Section: Introductionmentioning

confidence: 99%

A stable implementation of multiple Higdon’s absorbing boundary condition for Maxwell’s equations

Rengang¹

2021

Preprint

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Quantum Algorithms in Electromagnetic Propagation Modelling for Telecommunications

Novak

2023

IEEE Access

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Modelling of electromagnetic wave propagation in telecommunications has evolved from empirical models to highly deterministic ray tracing and numerical methods. The extraordinary computational effort of these methods and their wave nature seem ideally suited to be approached by quantum algorithms. We first examine current progress by reviewing recent proposals in the field. We scrutinize potentially advantageous quantum architectures, ranging from mainstream gate-level computers and nearterm, mid-scale noisy architectures with limited capabilities, to adiabatic and annealing approaches that are already in commercial use. We analyze the weaknesses and strengths of recent proposals. Beyond the core algorithm, mechanisms to bridge the quantum and classical worlds are of particular interest. Extremely diverse algorithm specifications, from those based on Hamiltonian simulations and emulation of variational optimization to the unconstrained binary formulation, are compared with the use of pure gate-level circuits and known quantum subroutines. We show that the graph Laplacian, given its ability to integrate boundary conditions, is uniquely suited for quantum propagation modelling algorithms rooted in differential numerical methods. Quantum computers could overcome the temporal and spatial limitations of classical methods for larger computational domains and, to some extent, address the problems of dispersion and stability in finitedifference approximations. The ability to express the solution of a problem as an eigenvalue problem turns out to be an advantage in the quantum world, where eigenvalues and eigenvectors are inextricably intertwined with quantum mechanics. In this paper, we identify the most promising techniques and scenarios that hold the greatest potential.

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Modeling of Scattering the Electromagnetic Pulses by High Voltage Converters

Kannan

Ramakrishnan²,

Porkumaran³

et al. 2021

2020 8th International Conference on Intelligent and Advanced Systems (ICIAS)

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An Operator Absorbing Boundary Condition for the Absorption of Electromagnetic Waves in Dispersive Media

Cited by 4 publications

References 13 publications

A stable implementation of multiple Higdon’s absorbing boundary condition for Maxwell’s equations

A stable implementation of multiple Higdon’s absorbing boundary condition for Maxwell’s equations

Quantum Algorithms in Electromagnetic Propagation Modelling for Telecommunications

Modeling of Scattering the Electromagnetic Pulses by High Voltage Converters

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