Scattering by<i>N</i>parallel conducting circular cylinders

Ragheb, H. A.; Hamid, M.

doi:10.1080/00207218508920712

Cited by 94 publications

(37 citation statements)

References 8 publications

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“…To characterize far-field scattering properties of considered grids we have used the total scattering cross section (TCS) and absorption scattering cross section (ACS) frequency dependences. We have tested our code and got a good agreement with the results of [8][9][10].…”

Section: Formulation and Basic Equationssupporting

confidence: 64%

Plasmon and grid resonances in the electromagnetic scattering by finite grids of silver nanowires

Natarov

Benson

Altintas

et al. 2010

2010 12th International Conference on Transparent Optical Networks

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The problem of the H-polarized wave scattering by finite chains of circular nanowires is considered. A twodimensional diffraction problem with rigorous boundary conditions is solved by partial separations of variables method using local polar coordinates of each scatterer. The obtained results demonstrate convergence of the algorithm and good agreement with data known for the conducting and dielectric cylinders. Plasmonic and grid resonances are found and calculated for grids from a big number of silver nanowires. This opens a way to the accurate numerical simulation of various finite configurations of wires met in today's nano and microsize photonic devices.

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Section: Formulation and Basic Equationssupporting

confidence: 64%

Plasmon and grid resonances in the electromagnetic scattering by finite grids of silver nanowires

Natarov

Benson

Altintas

et al. 2010

2010 12th International Conference on Transparent Optical Networks

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“…Here we are applying this concept to circular structures in order to obtain analytic series solution, while in other cases it will not be possible to analyze without numerical solutions for surface integral equations. Tremendous work was done to study the electromagnetic scattering from conducting cylinders with coating materials and can be found in literature [31][32][33][34][35][36][37][38][39][40]. The objective of this paper is to study the scattering from a conducting cylinder coated with a metamaterials layer and loaded with conducting helical strips by using the ASBC.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering From Conducting Circular Cylinder Coated by Meta-Materials and Loaded With Helical Strips Under Oblique Incidence

Hady¹,

Kishk²

2008

PIER B

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Abstract-The asymptotic strip boundary condition (ASBC) isapplied to analyze the solution of the electromagnetic scattering from a conducting cylinder coated with a homogeneous linear material layer and loaded with conducting helical strips. Such homogeneous material layer can be implemented by a conventional dielectric material, a single negative (SNG) or double negative (DNG) meta-material layer. A study of different materials' constitutive parameters is presented with accordance to Drude and Lorentz material modeling. The boundary condition assumes that the strips are rounded around the coated cylinder in a helical form and both the strip's period and the spacing between the helix turns are very small and mathematically approaching the zero. Scattering due to normal and oblique incident plane waves (θ i , φ i ) of arbitrary polarization using the series solution is also computed. A number of parametric studies were investigated to illustrate the advantages of using metamaterials compared with conventional coating materials in terms of strip's rounding pitch angle and coating layer electrical thickness variations. It is also shown that for SNG materials, modified Bessel functions are used to accept negative arguments. Coating with metamaterials proves to achieve higher forward scattering compared with conventional materials for the same electrical coating thickness.

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“…geometrical, lattice and Bragg resonances). Their wavelengths lay near the Rayleigh wavelengths [7], i.e. near to period being a multiple of the wavelength, if all elementary scatterers of a grating are excited in the same phase, and their size is a fraction of the period.…”

Section: Introductionmentioning

confidence: 99%

“…This function has to satisfy the Helmholtz equation with corresponding wavenumbers inside and outside the cylinders, the tangential field components continuity conditions, the radiation condition, and the condition of the local power finiteness. The full-wave numerical solution can be obtained similarly to [7,8], by expanding the field function in terms of the azimuth exponents in the local polar coordinates, using addition theorems for cylindrical functions and applying the boundary conditions on the surface of each of M wires. This leads to an infinite M M  block-type matrix equation where each block is infinite.…”

Section: Introductionmentioning

confidence: 99%

Resonance scattering and absorption of light by finite two-period gratings of circular silver nanowires

Natarov¹,

Sauleau

Nosich

2012

Semicond. Phys. Quantum Electron. Optoelectron.

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Abstract. We consider the two-dimensional scattering of the H-polarized electromagnetic plane waves of the visible range by three types of gratings made of periodically arranged circular cylindrical sub-wavelength wires. Using the field expansions in local coordinates and addition theorems for cylindrical functions, we obtain a block-type matrix equation for the field expansion coefficients. This equation is of the Fredholm second-kind form that guarantees convergence of numerical solution. The scattering and absorption cross-sections and the near-field patterns are computed. The interplay of plasmon and grating-type resonances is studied for two and three-layer gratings of identical periods, stacked two-period gratings, and in-line two-period gratings made of nano-diameter silver wires.

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Scattering byNparallel conducting circular cylinders

Cited by 94 publications

References 8 publications

Plasmon and grid resonances in the electromagnetic scattering by finite grids of silver nanowires

Plasmon and grid resonances in the electromagnetic scattering by finite grids of silver nanowires

Electromagnetic Scattering From Conducting Circular Cylinder Coated by Meta-Materials and Loaded With Helical Strips Under Oblique Incidence

Resonance scattering and absorption of light by finite two-period gratings of circular silver nanowires

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