Light trapping above the light cone in one-dimensional arrays of dielectric spheres


Тип публикации: статья из журнала

Год издания: 2017

Идентификатор DOI: 10.3390/app7020147

Ключевые слова: Bound state in the continuum, Fano resonance, Nanophotonics

Аннотация: We demonstrate bound states in the radiation continuum (BSC) in a linear periodic array of dielectric spheres in air above the light cone. We classify the BSCs by orbital angular momentum m = 0,±1,±2 according to the rotational symmetry of the array, Bloch wave vector b directed along the array according to the translational symmetПоказать полностьюry, and polarization. The most simple symmetry protected BSCs have m = 0, β = 0 and occur in a wide range of the radius of the spheres and dielectric constant. More sophisticated BSCs with m ≠ 0, β = 0 exist only for a selected radius of spheres at fixed dielectric constant. We also find robust Bloch BSCs with β ≠ 0,m = 0. All BSCs reside within the first but below the other diffraction continua. We show that the BSCs can be easily detected by bright features in scattering of different plane waves by the array as dependent on type of the BSC. The symmetry protected TE/TM BSCs can be traced by collapsing Fano resonance in cross-sections of normally incident TE/TM plane waves. When plane wave with circular polarization with frequency tuned to the bound states with OAM illuminates the array the spin angular momentum of the incident wave transfers into the orbital angular momentum of the BSC. This, in turn, gives rise to giant vortical power currents rotating around the array. Incident wave with linear polarization with frequency tuned to the Bloch bound state in the continuum induces giant laminar power currents. At last, the plane wave with linear polarization incident under tilt relative to the axis of array excites Poynting currents spiralling around the array. It is demonstrated numerically that quasi-bound leaky modes of the array can propagate both stationary waves and light pulses to a distance of 60 wavelengths at the frequencies close to the bound states in the radiation continuum. A semi-analytical estimate for decay rates of the guided waves is found to match the numerical data to a good accuracy. © 2017 by the authors.

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Журнал: Applied Sciences (Switzerland)

Выпуск журнала: Vol. 7, Is. 2

Номера страниц: 147

ISSN журнала: 20763417

Издатель: MDPI AG


  • Bulgakov E.N. (Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation, Deparment of Airspace Materials and Technology, Siberian State Aerospace University, Krasnoyarsk, Russian Federation)
  • Sadreev A.F. (Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation)
  • Maksimov D.N. (Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation)

Вхождение в базы данных

  • Scopus (цитирований 5)