Physica A: Statistical Mechanics and its Applications
Scattering of electromagnetic waves by a plane of spheres-formalism
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Cited by (84)
Simulation of light scattering in large, disordered nanostructures using a periodic T-matrix method
2021, Journal of Quantitative Spectroscopy and Radiative TransferCitation Excerpt :Seeking the optical response of small, disordered metal inclusions in dielectric host media, Lamb et al. [19] and Liebsch et al. [20] extended effective medium approximations by mimicking disorder with a periodic, average scattering response. Soon, early T-matrix formalisms emerged utilizing the average T-matrix approximation [21] or the coherent potential approximation [22,23] to average the scattering response of such a unit cell. Since then, T-matrix schemes for the optical response of particle arrays have been presented, e.g., by Stefanou et al. [24,25] and recently, by Beutel et al. [26] and Nečada et al. [27], utilizing Kambe’s Ewald sum formulation for spherical vector wave functions (SVWFs) [28,29].
Van de Hulst Essay: The DDA, the RTE, and the computation of scattering by plane parallel layers of particles
2017, Journal of Quantitative Spectroscopy and Radiative TransferCitation Excerpt :Furthermore, a T matrix for the lattice planes, either individually or as a group, can be identified as that which provides the linear relation between the exciting and scattered modes. Relations analogous to Eq. (26) have been derived for describing EM wave propagation in particulate media with periodic structure [20,21]. The main difference is that the present work uses the dipole lattice to represent the medium, whereas those of [20,21] employed a multipole formulation in which individual particles were described by T matrix relations.
Optical diffraction by ordered 2D arrays of silica microspheres
2017, Journal of Quantitative Spectroscopy and Radiative TransferSolar cells based on particulate structure of active layer: Investigation of light absorption by an ordered system of spherical submicron silicon particles
2015, Journal of Quantitative Spectroscopy and Radiative TransferCitation Excerpt :Here we use the approach recently developed by us to model long-range ordered monolayers (two-dimensional (2D) photonic crystals (PC)) [40,41]. It was developed for the 2D PCs with imperfect lattices while the majority of other methods to model such systems is based on the assumption of ideal ones [31,42–50]. The approach inherently takes into account deviations of particle positions from the perfect lattice sites in the monolayer and enables one to simulate such type of imperfection of real 2D PC simply and naturally.
Electromagnetic guided waves on linear arrays of spheres
2013, Wave MotionCitation Excerpt :The work described here is a complete analysis, based on the full Maxwell equations, of travelling electromagnetic waves propagating along linear arrays of dielectric spheres in the absence of any incident field. A theory for electromagnetic wave scattering by an infinite planar array of spheres was developed in [9,10] and our approach builds on the formalism presented there; it would be straightforward to modify our analysis to consider the corresponding scattering problem. A similar formalism for full vector problems in elasticity has also been developed [11–13].
Dirac-cone photonic surface states in three-dimensional photonic crystal slab
2014, International Journal of Modern Physics B