Solutions of plasmonic structures using the multilevel fast multipole algorithm

Karaosmanoğlu, Barışcan; Yilmaz, Asım Egemen; Gür, Uğur Meriç; Ergül, Özgür

doi:10.1002/mmce.20976

Cited by 30 publications

(17 citation statements)

References 20 publications

(22 reference statements)

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“…Using pools of 40 individuals, each optimization was carried out for a maximum of 200 generations, leading to total of 8000 2 16, 000   simulations by MLFMA or its approximate form. The MLFMA solver was particularly designed for effi cient analysis of plasmonic structures [12]. The main formulation was selected as the modifi ed combined tangential formulation (MCTF) that provided both accurate and effi cient solutions of homogeneous plasmonic objects [13].…”

Section: Short Description Of the Numerical Solutionsmentioning

confidence: 99%

Solution box: SOLBOX-19: Nano-optical diodes

Ergül

Karaova

Atmaz

2020

URSI Radio Sci. Bull.

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Section: Short Description Of the Numerical Solutionsmentioning

confidence: 99%

Solution box: SOLBOX-19: Nano-optical diodes

Ergül

Karaova

Atmaz

2020

URSI Radio Sci. Bull.

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“…For a given accuracy, interactions at long distances can be omitted since the inner and outer interactions are combined in the surface formulations and outer interactions (related to the free space) dominate the related matrix elements [30]. The threshold distance for this purpose can also be found by considering the exponential behavior of the decay for large imaginary values of the wavenumber.…”

Section: Matrix-vector Multiplications With Mlfmamentioning

confidence: 99%

“…Besides, there is a great flexibility in geometric modeling, allowing sharp edges and corners, tips, and subwavelength details [29]. On top of these, the background of surface integral equations provides self-consistency and accuracy-check mechanisms, such as based on the equivalence theorem, enabling accuracy analysis without resorting to alternative solvers [30].…”

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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“…Since MCTF involves the combinations of interactions from the inner and outer media, the contributions from the inner medium become very small for some longdistance interactions. This allows us to omit such contributions without deteriorating the accuracy [38]. As an example, consider the first term for Z MCTF 11 in Eq.…”

Section: Accelerated Matrix-vector Multiplications With Mlfmamentioning

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 plasmonic structures using the multilevel fast multipole algorithm

Cited by 30 publications

References 20 publications

Solution box: SOLBOX-19: Nano-optical diodes

Solution box: SOLBOX-19: Nano-optical diodes

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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