Boundary element method for electromagnetic scattering from cylinders

Yashiro, K.; Ohkawa, S.

doi:10.1109/tap.1985.1143587

Cited by 70 publications

(26 citation statements)

References 5 publications

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“…For this purpose, after obtaining all the forward and backward waves above and below the grating layers, we use the waves propagating towards each interface as input of the multipole expansion method and obtain the scattering coefficients of the cylinders. The field inside the grating layers can then be evaluated through Equations (12)- (13). According to the Floquet theorem, the outgoing waves from the interfaces will be the continuation of the obtained fields outside the grating.…”

Section: Bi-periodic Gratings and Scattering Matrixmentioning

confidence: 99%

“…This problem has been studied for many years and several different methods have been adopted for this purpose [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Some of these are general methods, such as the finite-difference time-domain (FDTD) method [11], finite-element method (FEM) [12], boundary-element method [13] and rigorous coupled waveguide analysis (RCWA) [14]. However, the unit-cell of such fabric structures might be extended over many optical wavelengths which inevitably leads to numerical models with enormous numbers of unknowns, considering small geometrical features that necessitate ultra-fine meshing.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic Scattering From Bi-Periodic Fabric Structures

Salary¹,

Jafar‐Zanjani²,

Mosallaei³

2017

PIER B

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Abstract-We develop an efficient semi-analytical technique to calculate the electromagnetic scattering from fabric structures modeled as crossed gratings of circular coated fibers of any material composition, arranged arbitrarily in yarns. The method relies on a matrix formulation based on multipole expansion for modeling conical scattering from uniaxial gratings of fibers, and employs a scattering matrix approach to obtain co-and cross-polarized transmission and reflection coefficients. The lattice sums are evaluated using an efficient adaptive algorithm based on Shank's transformation. The method can be employed for analyzing the scattering characteristics of fabric structures embedded in any arbitrary layered media. The validity of the method is verified through comparison with full-wave finite-difference time-domain simulations. A substantial performance gain is obtained, which makes the proposed method applicable to solve large-scale fabric structures.

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Section: Bi-periodic Gratings and Scattering Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Salary¹,

Jafar‐Zanjani²,

Mosallaei³

2017

PIER B

View full text Add to dashboard Cite

show abstract

“…Refs. [22][23][24]. A brief review of this method with emphasis on its application to plasmonic nanostructures can be found in [25].…”

Section: S T D T =mentioning

confidence: 99%

Strip and gap plasmon polariton optical resonators

Søndergaard

Bozhevolnyi

2008

Physica Status Solidi (b)

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1 Introduction Metal nanowires and nm-gaps between metal layers [1][2][3][4][5][6] are interesting for the design of optical resonators and field enhancement effects, and may find applications in such areas as optical microscopy, spectroscopy and sensing. These resonances, which have recently received a great deal of attention, are related to a type of surface electromagnetic waves known as surface plasmon polaritons (PPs), which are bound to and propagating along metal-dielectric interfaces [7,8]. In this paper we will analyze scattering and field enhancement properties of resonators based on a two-dimensional geometry based on nm-thin submicron-wide metal strips, and by utilizing knowledge of the resonant fields and the electromagnetics boundary conditions we will suggest small modifications to the resonators that result in large local field enhancements relative to the incident electromagnetic wave.A nm-thin metal-strip resonator can be thought of as a section of a nm-thin metal film (two coupled metaldielectric interfaces) which supports two types of PPs, namely a fast or long-range PP which is weakly bound to the film, and a slow or short-range PP being strongly bound. While the fast PP is interesting for integrated optics

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“…Following this line of reasoning, much effort has been devoted in the past years to the analysis of the scattering of a plane wave from perfectly electrically conducting (PEC) and dielectric objects. So, different techniques, such as method of moments [1], finite elements method [2], boundary elements method [3], the geometrical theory of diffraction and the uniform theory of diffraction [4,5], and so on, have been proposed, depending on the complexity and the electrical size of the involved objects.…”

Section: Introductionmentioning

confidence: 99%

Gaussian Beam Electromagnetic Scattering From Pec Polygonal Cross-Section Cylinders

Lucido¹,

Schettino²,

Migliore³

et al. 2017

PIER C

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Abstract-In scattering experiments, incident fields are usually produced by aperture antennas or lasers. Nevertheless, incident plane waves are usually preferred to simplify theoretical analysis. The aim of this paper is the analysis of the electromagnetic scattering from a perfectly electrically conducting polygonal cross-section cylinder when a Gaussian beam impinges upon it. Assuming TM/TE incidence with respect to the cylinder axis, the problem is formulated as electric/magnetic field integral equation in the spectral domain, respectively. The Method of analytical preconditioning is applied in order to guarantee the convergence of the discretization scheme. Moreover, fast convergence is achieved in terms of both computation time and storage requirements by choosing expansion functions reconstructing the behaviour of the fields on the wedges with a closed-form spectral domain counterpart and by means of an analytical asymptotic acceleration technique.

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Boundary element method for electromagnetic scattering from cylinders

Cited by 70 publications

References 5 publications

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Strip and gap plasmon polariton optical resonators

Gaussian Beam Electromagnetic Scattering From Pec Polygonal Cross-Section Cylinders

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