Ms. Gail S. Blaustein Profile

Gail S. Blaustein

at Tulane Univ

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Proceedings Article | 14 February 2007 Paper

Optical modes in linear arrays of dielectric spherical particles: a numerical investigation

Gail Blaustein, Alexander Burin

Proceedings Volume 6452, 645212 (2007) https://doi.org/10.1117/12.714584

KEYWORDS: Particles, Mie scattering, Gallium arsenide, Dielectrics, Polaritons, Zinc oxide, Spherical lenses, Refractive index, Optical spheres, Scattering

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We have investigated bound modes in finite linear chains of dielectric particles of various lengths, interparticle spacing and particle materials. Through a unique application of the multisphere Mie scattering formalism, we have developed numerical methods to calculate eigen-optical modes for various arrays of particles. These numerical methods involve the use of the multisphere scattering formalism as the entries in N×N matrices where N represents the number of particles in the chain. Eigenmodes of these matrices correspond to the eigen-optical modes of interest. We identified the eigenmodes with the highest quality factor by the application of a modified version of the Newton-Raphson algorithm. We found that convergence is strong using this algorithm for linear chains of up to several hundreds of particles. By comparing the dipolar approach with the more complex approach which utilizes a combination of both dipolar and quadrupolar approaches, we demonstrated that the dipolar approach has an accuracy of approximately 99%. We found that the quality factor Q of the mode increases with the cubed value of the number of particles in chain in agreement with the previously developed theory, the effects of disordering of particle sizes and inter-particle distances will be discussed.

Proceedings Article | 14 February 2007 Paper

Bound whispering gallery modes in circular arrays of dielectric spherical particles

Alexander Burin, Gail Blaustein, Olga Samoilova

Proceedings Volume 6452, 64520H (2007) https://doi.org/10.1117/12.714580

KEYWORDS: Particles, Refractive index, Gallium arsenide, Dielectrics, Mie scattering, Scattering, Spherical lenses, Zinc oxide, Optical spheres, Dielectric polarization

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Low-dimensional ordered arrays of dielectric particles can possess bound optical modes having an extremely high quality factor depending on the material used. If these arrays consist of metal particles, then they cannot have a high quality factor because their light absorption restricts performance. In this paper we address the following question: can bound modes be formed in dielectric systems where the absorption of light is negligible? Our investigation of circular arrays of spherical particles within the framework of the multisphere Mie scattering theory using the simplest dipolar-like approach shows that (1) high quality modes in an array of 10 or more particles can be attained at least for a refractive index n_r > 2, so optical materials like TiO₂ or GaAs can be used; (2) the most bound modes have nearly transverse polarization perpendicular to the circular plane; (3) in a particularly interesting case of TiO₂ particles (rutile phase, n_r = 2.7), the quality factor of the most bound mode increases almost by an order of magnitude with the addition of 10 extra particles, while for particles made of GaAs the quality factor increases by almost two orders of magnitude with the addition of ten extra particles. The consideration of higher multipole contributions has demonstrated that the error of the dipolar approach does not exceed one percent if the refractive index n_r is greater than 2. Minimum acceptable disordering not affecting the quality factor is studied.

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