Study of interactive scattering by clusters of spheres

Ioannidou, Melina P.; Skaropoulos, Nikolaos C.; Chrissoulidis, D.P.

doi:10.1364/josaa.12.001782

Cited by 26 publications

(15 citation statements)

References 21 publications

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“…spherical nanoparticles [26], to tailor the resonant response of the system. Scattering by clusters dielectric spheres has been in research focus for a long time [27][28][29][30][31] with high-Q resonant modes in linear [32][33][34] as well as circular [35] arrays predicted a decade ago. Nowadays, thanks to immense progress in manipulating dielectric nanoparticles [36][37][38], we witness a surge of interest in optical devices based on clusters and arrays of dielectric spheres including subwavelength waveguides [39][40][41], optical nanoantenas [36,42], and circular oligomers [43,44].…”

Section: Introductionmentioning

confidence: 99%

Light enhancement by quasi-bound states in the continuum in dielectric arrays

Bulgakov¹,

Максимов²

2017

Opt. Express

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The article reports on light enhancement by structural resonances in linear periodic arrays of identical dielectric elements. As the basic elements both subwavelength spheres and rods with circular cross section have been considered. In either case it has been demonstrated numerically that high-Q structural resonant modes originated from bound states in the continuum enable near-field amplitude enhancement by factor of 10-25 in the red-to-near infrared range in lossy silicon. The asymptotic behavior of the Q-factor with the number of elements in the array is explained theoretically by analyzing quasi-bound states propagation bands.

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Section: Introductionmentioning

confidence: 99%

Light enhancement by quasi-bound states in the continuum in dielectric arrays

Bulgakov¹,

Максимов²

2017

Opt. Express

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“…This paper combines the Fourier transform with the indirectmode-matching (IMM) method [2][3][4][5][6] to formulate a set of linear equations for the wave amplitudes of the electric-field intensity, scattered by, and refracted within, a dielectric sphere with an eccentric spherical dielectric inclusion. The analytical formulation is carried out entirely in the frequency domain; the time-domain electric-field intensity can be determined numerically by application of the fast Fourier transform (FFT).…”

Section: Introductionmentioning

confidence: 99%

“…The theory of this paper can be developed further to treat more complicated nonspherical bodies, e.g., a sphere with several spherical inclusions [4,12], a sphere with several eccentric layers [13,14], or a cluster of spheres [3,6]. Past research concerning these geometries has been limited to timeharmonic excitation.…”

Section: Introductionmentioning

confidence: 99%

Scattering of a pulsed wave by a sphere with an eccentric spherical inclusion

Vervelidou

Chrissoulidis

2012

J. Opt. Soc. Am. A

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A dielectric sphere with an eccentric spherical dielectric inclusion and an incident amplitude-modulated plane electromagnetic wave constitute an exterior radiation problem, which is solved in this paper. A solution is obtained by combined use of the Fourier transform and the indirect-mode-matching method. The analysis yields a set of linear equations for the wave amplitudes of the frequency-domain expansion of the electric-field intensity within and outside the externally spherical inhomogeneous body; that set is solved by truncation and matrix inversion. The shape of the backscattered pulse in the time domain is determined by application of the inverse fast Fourier transform. Numerical results are shown for a pulse backscattered by an acrylic sphere that contains an eccentric spherical cavity. The effects of cavity position and size on pulse spreading and delay are discussed.

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“…Here, we extend the methodology of Gaunaurd and coworkers to formulate an exact solution to the problem of time-harmonic, plane, acoustic-wave scattering by an arbitrary cluster of penetrable spheres in an unbounded, homogeneous, host fluid; the analysis is similar to the one by Ioannidou et al, 21 who considered the corresponding electromagnetic problem. Furthermore, we demonstrate how the modal series formulation is linked to the monopole approximation, first by re-deriving the latter as a particular case of the former, and next, by comparing the two formulations numerically.…”

Section: Introductionmentioning

confidence: 99%

Interactive resonant scattering by a cluster of air bubbles in water

Skaropoulos

Yagridou

Chrissoulidis

2003

The Journal of the Acoustical Society of America

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An exact, analytical solution is developed for the problem of acoustic-wave scattering from a cluster of ideal, gaseous, spherical bubbles in an unbounded, homogeneous, host fluid. This solution takes into account all modes of oscillation of the bubbles as well as all interactions between them; it is applicable to a wide range of bubble sizes and excitation frequencies. In the low frequency regime, the theory of this paper is shown to reduce to the "monopole" approximation, the effect of higher-order modes being non-negligible only for very small bubble-to-bubble separations. A numerical study of interactive backscattering from small clusters, comprising up to three ideal bubbles, is presented. Interactions between the bubbles are shown to produce downward shifts in the resonance frequency of the cluster, when the scattering configuration is symmetric. Furthermore, asymmetries of the scattering configuration are shown to generate sharp resonances at frequencies above the resonance of the symmetric mode. The results of this paper agree with previous theoretical and experimental work.

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Study of interactive scattering by clusters of spheres

Cited by 26 publications

References 21 publications

Light enhancement by quasi-bound states in the continuum in dielectric arrays

Light enhancement by quasi-bound states in the continuum in dielectric arrays

Scattering of a pulsed wave by a sphere with an eccentric spherical inclusion

Interactive resonant scattering by a cluster of air bubbles in water

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