Validity and Limitations of the Median-Line Integral Equation Technique in the Scattering by Material Strips of Sub-Wavelength Thickness

Sukharevsky, Ilya O.; Shapoval, Olga V.; Altintas, A.; Nosich, Alexander I.

doi:10.1109/tap.2014.2316295

Cited by 39 publications

(19 citation statements)

References 23 publications

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“…Our computational instrument has been the algorithm developed in [24] and based on the MBIE. We have studied two types of phenomena: the ray-like effects understandable from GO concepts and the resonances on the natural modes of the medium-size prism as an open resonator.…”

Section: Discussionmentioning

confidence: 99%

“…The Green's formula enables one to express the fields inside and outside L in terms of the limiting values of the fields and their normal derivatives on L. By applying the boundary conditions, a set of two Fredholm second-kind IEs is obtained, known as MBIE [17]- [22]. For its solution, we use an algorithm adapted to the piece-wise smooth contour-see [24]. Here, the logarithmic singularities are integrated analytically while the integrals of regular functions are approximated by quadratures.…”

Section: Problem Formulation Methods Description and Main Characmentioning

confidence: 99%

“…Our numerical algorithm implies segmentation of contour to minimum number of regular parts and further uses a numerical algorithm explained and validated in [24].…”

Section: Manipulation Of Backscattering From a Dielectricmentioning

confidence: 99%

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Manipulation of Backscattering From a Dielectric Cylinder of Triangular Cross-Section Using the Interplay of GO-Like Ray Effects and Resonances

Sukharevsky

Nosich

Altintas

2015

IEEE Trans. Antennas Propagat.

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Abstract-A triangular dielectric cylinder (dielectric prism) of the size, in cross-section, comparable to or moderately larger than the wavelength is a scatterer, which blends together two different types of electromagnetic behavior: geometrical optics (GO) and resonance. As shown in this paper, the first is responsible, for instance, for enhanced reflection from an isosceles 90• prism, if illuminated from the base. The second is responsible for the peaks in the total scattering and absorption cross-sections (ACSs) at the natural-mode frequencies. The numerical analysis is performed by solving the well-conditioned Muller-type boundary integral equation (IE) discretized using an algorithm with controlled accuracy.

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Section: Discussionmentioning

confidence: 99%

Section: Problem Formulation Methods Description and Main Characmentioning

confidence: 99%

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Manipulation of Backscattering From a Dielectric Cylinder of Triangular Cross-Section Using the Interplay of GO-Like Ray Effects and Resonances

Sukharevsky

Nosich

Altintas

2015

IEEE Trans. Antennas Propagat.

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“…This follows from the fact that for metals in the optical band -» >> e e r r | | 1, and for k h r 0 1 | | e >> cotangents may be replaced by "-i". A detailed investigation of the applicability limits of GBC in the problems of the scattering for plane waves by metal and dielectric strips is presented in [14].…”

Section: Problem Statementmentioning

confidence: 99%

Scattering of light waves by finite metal nanostrip gratings: Nystrom-Type method and resonance effects

Shapoval

2015

Radioelectron.Commun.Syst.

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Efficient and rapidly convergent numerical algorithm for the simulation of the scattering of light waves by a finite gratings consisting of thin (thinner than the wavelength in the free space) metal nanostrips is presented. The model is based on the utilization of generalized boundary conditions (GBC), which allow one to exclude from consideration the field inside each strip and to reduce the two-dimensional boundary problem to one-dimensional systems of singular/hypersingular integral equations (IE). The obtained IE are solved numerically using the Nystrom-type method and the quadrature formulas of interpolation type, that provides guarantee convergence and controlled accuracy. The article presents the results of characteristics calculations for optical scattering and absorption by the gratings, which consist of silver nanostrips, as dependences on the width and on the thickness of the strips, and on the grating period. The nature of resonance phenomena has been investigated, namely the article presents the analysis of intensive optical scaterring and absorption in the case of excitation of plasmonic modes (plasmons) and of grating modes, which are induced by the periodicity.

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“…We solved this equation using the iterative Newton method, which needed initial-guess values found from the visualization of the determinant relief on the plane ( , ) ka γ . Another approach can exploit the segmentation of the contour to a minimum number of regular parts and further use the numerical algorithm explained and validated in [39].…”

Section: Numerical Study Of the Lasing Modesmentioning

confidence: 99%

Microcavity lasers on polymer materials: Boundary integral equation modeling and experiments

Nosich¹,

Smotrova²,

Lebental

et al. 2015

2015 IEEE 35th International Conference on Electronics and Nanotechnology (ELNANO)

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-We consider the modeling and experiments with polymer dye-doped lasers shaped as thin flat cavities, allowing one to consider them as two-dimensional (2-D) active cavities. We focus our modeling on the H-polarized electromagnetic field in a kite-shaped laser. Assuming that the lasing-mode frequency is real-valued, we look for it together with the corresponding threshold value of material gain. Such electromagnetic-field problem is reduced to the Muller set of the boundary integral equations (MBIE), discretization of which yields determinantal equation. Numerical results reveal various types of modes existing in the kite including the perturbed whispering gallery (WG) modes that have the lowest thresholds. Their far-field emission patterns show good agreement with the measurements.

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Validity and Limitations of the Median-Line Integral Equation Technique in the Scattering by Material Strips of Sub-Wavelength Thickness

Cited by 39 publications

References 23 publications

Manipulation of Backscattering From a Dielectric Cylinder of Triangular Cross-Section Using the Interplay of GO-Like Ray Effects and Resonances

Manipulation of Backscattering From a Dielectric Cylinder of Triangular Cross-Section Using the Interplay of GO-Like Ray Effects and Resonances

Scattering of light waves by finite metal nanostrip gratings: Nystrom-Type method and resonance effects

Microcavity lasers on polymer materials: Boundary integral equation modeling and experiments

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