Guiding optical modes in chains of dielectric particles

Blaustein, Gail S.; Gozman, M. I.; Samoylova, O.M.; Polishchuk, I. Ya.; Burin, Alexander L.

doi:10.1364/oe.15.017380

Cited by 59 publications

(89 citation statements)

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“…(21) one can obtain numerically that, for a finite N ≫ 1, the highest quality factor is reached for the modes whose frequency is close to the upper edge of the Brillouin zone k ≈ π/a (such a feature is inherent also for the array of spherical particles [16,17,19]). …”

Section: Figmentioning

confidence: 99%

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Guided modes in the plane array of optical waveguides

et al. 2017

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It is known that, for the isolated dielectric cylinder waveguide, there exists the cutoff frequency ω * below which there are no guided (radiationless) modes. It is shown in the paper that the infinite plane periodic array of such waveguides possesses guided modes in the frequency domain which is below the frequency ω * . So far as the finite array is concerned, the modes in this frequency domain are weakly radiating ones, but their quality factor Q increases as Q(N ) ∼ N 3 , N being the number of the waveguides in the array. This dependence is obtained both numerically, using the multiple scattering formalism, and is justified within the framework a simple analytical model.

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Section: Figmentioning

confidence: 99%

“…Note that the effect of increasing the Q−factor for the radiative modes in the array of the interacting spherical particles with increasing the array size, was discovered in [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Guided modes in the plane array of optical waveguides

et al. 2017

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“…From Table 2 one can see why the eigenmodes (24) and (25) are protected by symmetry against decay into the diffraction continuum m = 0, n = 0. From Equations (18) and (19) we obtain that the TE/TM continuum with k z,0 = 0 (β = 0) has the only H z /E z = 0 independent of z. The Type I BSC has E z = 0 and odd H z so that these type of BSCs is symmetrically mismatched to both TE and TM continua.…”

Section: Symmetry Protected Bscsmentioning

confidence: 98%

“…Guiding of electromagnetic waves by a linear array of dielectric spheres below the diffraction limit attracted more attention. There were two types of consideration: finite arrays [12][13][14][15][16] and infinite arrays which were studied by means of the coupled-dipole approximation [17][18][19][20][21][22][23]. Only in 2013 a full-wave analysis of waves on linear arrays of dielectric spheres below the light cone was provided by Linton, Zalipaev, and Thompson [24].…”

Section: Introductionmentioning

confidence: 99%

Light Trapping above the Light Cone in One-Dimensional Arrays of Dielectric Spheres

2017

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Abstract: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 β directed along the array according to the translational symmetry, 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.

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“…There were two types of considerations: finite arrays [1,2,3,4] and infinite arrays which were studied by means of the coupled-dipole approximation [5,6,7,8,9,10]. A consummate analysis of electromagnetic waves propagating along linear arrays of dielectric spheres below the light cone was provided by Linton et al [11].…”

Section: Introductionmentioning

confidence: 99%

Trapping of light with angular orbital momentum above the light cone

Bulgakov¹,

Sadreev

2017

AEM

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We consider bound states in the radiation continuum (BSC) above the light cone in an one-dimensional periodic array of dielectric spheres in air. The BSCs are classified by orbital angular momentum m, Bloch wave vector β directed along the array, and polarization. The most simple symmetry protected BSCs have m = 0, β = 0 and occur in a wide range of the radius of spheres and dielectric constant. More sophisticated BSCs with m ̸ = 0, β = 0 exist only for a selected radius of the spheres at a fixed dielectric constant. We also show the existence of robust Bloch BSCs with β ̸ = 0, m = 0. The BSCs with m = 0 can be easily detected by the collapse of Fano resonance in scattering of a plane wave. In response to a plane wave with circular polarization the BSCs with m ̸ = 0 give rise to Poynting vector spiralling around the array.

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Guiding optical modes in chains of dielectric particles

Cited by 59 publications

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Guided modes in the plane array of optical waveguides

Guided modes in the plane array of optical waveguides

Light Trapping above the Light Cone in One-Dimensional Arrays of Dielectric Spheres

Trapping of light with angular orbital momentum above the light cone

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