Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm

Ergül, Özgür

doi:10.1364/josaa.28.002261

Cited by 33 publications

(12 citation statements)

References 24 publications

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“…Since solar cells involve one or more materials with well‐defined boundaries, surface integral equations are used for the full‐wave formulations. Specifically, we use the electric‐magnetic current combined‐field integral equation (JMCFIE) discretized with the Rao–Wilton–Glisson (RWG) functions. The complex relative permittivity values are extracted from measurement data in the literature (ie, see Refs.…”

Section: Accurate Numerical Simulationsmentioning

confidence: 99%

Improving the absorption of solar cells using antenna‐inspired cavities

Karaosmanoğlu

Tuygar

Topçuoğlu

et al. 2019

Micro & Optical Tech Letters

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We present new types of nanocavities to improve the absorption of solar cells for energy harvesting in wide frequency ranges of the optical spectrum. Using a full‐wave approach, as opposed to the commonly used ray‐based modeling of the light, antenna‐inspired cavities with horn shapes are proposed and introduced. The effectiveness of the designed cavities is demonstrated in comparison to the conventional textures involving inverted pyramids and nanocones. Highly accurate numerical results show that solar‐cell structures with horn‐type cavities can provide excellent absorbance rates, even without using any matching layer.

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Section: Accurate Numerical Simulationsmentioning

confidence: 99%

Improving the absorption of solar cells using antenna‐inspired cavities

Karaosmanoğlu

Tuygar

Topçuoğlu

et al. 2019

Micro & Optical Tech Letters

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“…When the object is large in terms of wavelength, fast and efficient methods, such as the multilevel fast multipole algorithm (MLFMA) [25], are available to accelerate solutions [26][27][28]. For plasmonic modeling, effective permittivity values with negative real parts are required, while they are already available via theoretical and experimental studies [10].…”

Section: Introductionmentioning

confidence: 99%

Integral-Equation Formulations of Plasmonic Problems in the Visible Spectrum and Beyond

Çekinmez¹,

Karaosmanoğlu²,

Ergül³

2017

Dynamical Systems - Analytical and Computational Techniques

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Computational modeling of nano-plasmonic structures is essential to understand their electrodynamic responses before experimental efforts in measurement setups. Similar to the other ranges of the electromagnetic spectrum, there are alternative methods for the numerical analysis of nano-plasmonic problems, while the optics literature is dominated by differential equations that require discretizations of the host media with artificial truncations. These approaches often need serious assumptions, such as periodicity, infinity, or self-similarity, in order to reduce the computational load. On the other hand, surface integral equations based on integro-differential operators can bring important advantages for accurate and efficient modeling of nano-plasmonic problems with arbitrary geometries. Electrical properties of materials, which may be obtained either experimentally or via physical modeling, can easily be inserted into integral-equation formulations, leading to accurate predictions of electromagnetic responses of complex structures. This chapter presents the implementation of such accurate, efficient, and reliable solvers based on appropriate combinations of surface integral equations, discretizations, numerical integrations, fast algorithms, and iterative techniques. As a case study, nanowire transmission lines are investigated in wide-frequency ranges, demonstrating the capabilities of the developed implementations.

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“…As in all subareas of nanotechnology, experimental studies on nanowires are supported by numerical and computational analysis [18,19]. The plasmonic properties of metals at optical frequencies can be modeled using tabulated or formulated permittivity values [20] inserted into the conventional solvers for penetrable bodies [21]. Accurate simulation environments based on various methods and techniques can provide an ability to investigate the effects of the cross-sectional shapes [22][23][24] and the choice of the material [22] on the nanowire characteristics before their fabrications.…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study of Nanowire Arrays for Maximum Power Transmission

Satana¹,

Karaosmanoğlu²,

Ergül³

2017

Nanowires - New Insights

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In this chapter, we present a comparative study of nanowire arrays for the purpose of transmitting electromagnetic energy to long distances with minimum loss. Silver nanowires at an infrared frequency are considered as a case study, using an accurate simulation environment based on the surface-integral equations and the multilevel fast multipole algorithm (MLFMA). Reliable numerical results are obtained by considering arrays as three-dimensional structures with finite sizes in all dimensions. Nanowires with different cross sections are compared in alternative array configurations to assess and compare their transmission properties. While there are no significantly varying performances for the arrays of few elements, large discrepancies occur as the number of nanowires increases. We show that arrays involving nanowires with hexagonal cross sections in hexagonal arrangements can provide significantly better power transmissions in comparison to others. We also present the superiority of a particular case, where the nanowires and gaps between them, both with hexagonal cross sections, are equally distributed, leading to a honeycomb structure. This type of structures demonstrates high-quality transmissions that can be useful in diverse application areas, such as optical coupling, subwavelength imaging, and energy harvesting.

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Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm

Cited by 33 publications

References 24 publications

Improving the absorption of solar cells using antenna‐inspired cavities

Improving the absorption of solar cells using antenna‐inspired cavities

Integral-Equation Formulations of Plasmonic Problems in the Visible Spectrum and Beyond

A Comparative Study of Nanowire Arrays for Maximum Power Transmission

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