Scattering by Polygonal Cross-Section Dielectric Cylinders at Oblique Incidence

Lucido, Mario; Panariello, G.; Schettino, Fulvio

doi:10.1109/tap.2009.2038181

Cited by 37 publications

(24 citation statements)

References 41 publications

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“…There are many methods to obtain the solutions of forward problems [45,46,47,48,49]. Here we extend the method proposed in [45], using the inverse matrix, instead of the conjugate gradient method, to solve the equation we derived from the model of the forward scattering problem.…”

Section: Algorithmsmentioning

confidence: 99%

Microwave Imaging under Oblique Illumination

Meng

Shen

et al. 2016

Sensors

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Abstract:Microwave imaging based on inverse scattering problem has been attracting many interests in the microwave society. Among some major technical challenges, the ill-posed, multi-dimensional inversion algorithm and the complicated measurement setup are critical ones that prevent it from practical applications. In this paper, we experimentally investigate the performance of the subspace-based optimization method (SOM) for two-dimensional objects when it was applied to a setup designed for oblique incidence. Analytical, simulation, and experimental results show that, for 2D objects, neglecting the cross-polarization scattering will not cause a notable loss of information. Our method can be potentially used in practical imaging applications for 2D-like objects, such as human limbs.

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Section: Algorithmsmentioning

confidence: 99%

Microwave Imaging under Oblique Illumination

Meng

Shen

et al. 2016

Sensors

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“…However, one should keep in mind that many forms of the boundary IEs are contaminated by the presence of spurious eigenvalues [15], [16]. For instance, all the works [3]- [14] dealt with such IE although this fact was fully acknowledged only in the paper [10]. The spurious eigenvalues are the real numbers that are the eigenvalues of the interior electro-magnetic problem where the boundary is assumed perfectly electrically conducting (PEC), and the inside filling is assigned material parameters of the outer medium (e.g., free space).…”

Section: Manipulation Of Backscattering From a Dielectricmentioning

confidence: 99%

“…Note that the analytical regularization of such defective IEs, i.e., their reduction to the Fredholm second-kind matrix equations, achieved, for instance, using their projection to specially tailored Galerkin basis functions [11], [14] does not remove the defect mentioned. Still it helps shrink the false spikes produced by spurious eigenvalues to narrow peaks whose width gets smaller for the larger discretizations.…”

Section: Manipulation Of Backscattering From a Dielectricmentioning

confidence: 99%

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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“…The full-wave numerical analysis of the wavelength-scale dielectric resonators are normally associated with the volume and boundary IEs [26][27][28][29][30][31]. The latter equations are usually more attractive as they demand, in 2-D, the discretization of only the scatterer contour instead of its area.…”

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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Scattering by Polygonal Cross-Section Dielectric Cylinders at Oblique Incidence

Cited by 37 publications

References 41 publications

Microwave Imaging under Oblique Illumination

Microwave Imaging under Oblique Illumination

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

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

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