Accurate Analysis of Two-Dimensional Electromagnetic Scattering From Multilayered Periodic Arrays of Circular Cylinders Using Lattice Sums Technique

Yasumoto, Kiyotoshi; Toyama, Hiroshi; Kushta, Taras

doi:10.1109/tap.2004.834440

Cited by 122 publications

(98 citation statements)

References 18 publications

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“…In order to determine these parameters the investigated structure is divided into layers (surfaces for a fixed y) which constitute two dimensional (2D) periodic FSSs. Each layer can be described by a multimodal scattering matrix, which relates the incident space-harmonics to the scattered, both reflected and transmitted ones, utilizing authors' technique [22] based on an efficient numerical technique described in [18,23,24]. Assuming the surface periodic in x and z directions the fields consist of set of space harmonics and the z components of the incident and scattered fields can be described as follows:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…In order to obtain the scattering parameters we first calculate the multimodal scattering matrices of each layer (each FSS), utilizing authors' numerical technique [22], and then use cascading formulas to obtain the results for the entire structure. The proposed approach utilizes an efficient numerical technique described in [18,23,24], which is based on the transmission matrix (T-matrix) method [25] and uses the lattice sums technique [26]. The obtained scattering matrix relates the incident space-harmonics to the scattered, both reflected and transmitted ones.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid Technique for the Analysis of Scattering From Periodic Structures Composed of Irregular Objects

Kusiek¹,

Lech²,

Mazur³

2013

PIER

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Abstract-In the paper, the analysis of electromagnetic wave scattering from multilayered frequency selective surfaces is presented. The surface is composed of periodically arranged posts with irregular shapes. The multimodal scattering matrix of such structure is derived and the transmission and reflection characteristic for the structure with arbitrary plane wave illumination are calculated. The exact fullwave theory based on the hybrid approach employing mode-matching method and finite-difference frequency-domain (FDFD) technique is applied to develop an efficient theory to analyze such structures. The validity and accuracy of the approach are verified by comparing the results with those obtained from alternative methods and own measurements of manufactured periodic structures.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hybrid Technique for the Analysis of Scattering From Periodic Structures Composed of Irregular Objects

Kusiek¹,

Lech²,

Mazur³

2013

PIER

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“…by using the concept of Floquet modes (14) in the y direction. This approach is efficient when the number of arrays is increased.…”

Section: Layered Periodic Arraysmentioning

confidence: 99%

Electromagnetic Scattering by Multilayered Periodic Arrays of Circular Cylinders-Activity Report

2004

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Non-memberA very efficient and accurate method to characterize electromagnetic scattering by multilayered periodic arrays of circular cylinders is presented, using the lattice sums technique, the aggregate T-matrix algorithm, and the generalized reflection and transmission matrices for a layered system. The method is quite general and applies to various configurations of two-dimensional or three-dimensional periodic arrays. The unit cell of array can contain two or more cylinders, which may be dielectric, conductor, gyrotropic medium, or their mixture with different sizes. The periodic spacing of cylinders along each array plane should be same over all layers, otherwise the cylinders in different layers may be different in material properties and dimensions.

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“…Authors believe that these studies could find practical application in the analyses of optical ring resonators [21,22], cylindrical THz waveguides [23][24][25] and Plasmonic Crystals having cylindrical configuration. The rigorous formulation proposed in the manuscript uses T-matrix of a circular scatterer in isolation [26,27] and it is taking into account all cylindrical Floquet modes and their interactions through the scattering between the nanocylinders periodically distributed along a circular ring [20,28,29]. It could be considered as the main advantage of the proposed formulation.…”

Section: Introductionmentioning

confidence: 99%

Scattering of Light by the Metal-Coated Dielectric Nanocylinders With Angular Periodicity

Jandieri

Yasumoto²,

Liu³

et al. 2016

PIER M

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Abstract-Scattering of light by metal-coated dielectric nanocylinders periodically distributed along a cylindrical surface is investigated both theoretically and numerically. The structure is under the authors' interest because of its practical application in design and fabrication of plasmonic devices such as plasmonic ring resonators, Plasmonic Crystals and THz waveguides. The method is based on the T-matrix approach and the field expansion into the cylindrical Floquet modes. The method is rigorous, straightforward and can be easily applied to various cylindrical configurations with different types and locations of the excitation sources. Scattering cross section and absorption cross section of three and four silver (Ag) coated-dielectric nanocylinders periodically situated along a cylindrical surface are studied. Near field distributions are investigated at particular wavelengths corresponding to the resonance wavelengths in the spectral responses. Special attention is paid to the unique and interesting phenomena characterizing the cylindrical structure composed of the metal-coated nanocylinders such as: a ) localization of the field at the outer and inner interfaces of the metal-coated nanocylinders; b) excitement of the field in the gap region between the nanocylinders through the coupled plasmon resonance and c) strong confinement of the field inside the cylindrical structure. Detailed investigations have shown that unique phenomena characterizing the cylindrical configurations of the nanocylinders can be realized using a relatively simple structure composed of three nanocylinders and there is no need to further increase a number of the scatterers (nanocylinders).

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Accurate Analysis of Two-Dimensional Electromagnetic Scattering From Multilayered Periodic Arrays of Circular Cylinders Using Lattice Sums Technique

Cited by 122 publications

References 18 publications

Hybrid Technique for the Analysis of Scattering From Periodic Structures Composed of Irregular Objects

Hybrid Technique for the Analysis of Scattering From Periodic Structures Composed of Irregular Objects

Electromagnetic Scattering by Multilayered Periodic Arrays of Circular Cylinders-Activity Report

Scattering of Light by the Metal-Coated Dielectric Nanocylinders With Angular Periodicity

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