Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session B12: Nanostructures and Metamaterials 2
11:15 AM–2:03 PM,
Monday, March 5, 2018
LACC Room: 303B
Sponsoring Unit: DMP
Chair: Jonathan Foley, William Paterson Univ
Abstract: B12.00009 : Resonant Characteristics of Subwavelength Spherical Scatterers with Radial Inhomogeneities
1:15 PM–1:27 PM
(Department of Electronics and Nanoengineering, Aalto University)
Scattering by a homogeneous small sphere is a classical canonical problem, that can be found in the heart of many physical models . The problem of a subwalength homogenous sphere can be rigorously analyzed through the corresponding electrostatic scattering point, for homogeneous or piecewise homogeneous spheres . In this work the electrostatic scattering problem by a radially inhomogeneous sphere is considered. Specifically, it is shown that the analytical solution obtained for a graded index sphere with power law permittivity profile (rn)  can be expanded for a whole new class of exponential profiles exp((ar)n). The scattering features are extracted and connected with the polarizability of a solid sphere. As a result, a generalization of the polarizability is introduced, encompassing the particular inhomogeneities to a simple model, and the impact of such inhomogeneities to the overall scattering spectrum is exposed.
 C. F. Bohren and D. R. Huffman, Absorption and scattering of light by small particles. John Wiley & Sons, 2008.
 L. Dong, G. Gu, and K. Yu, “First-principles approach to dielectric response of graded spherical particles,” Phys. Rev. B, vol. 67, no. 22, p. 224205, Jun. 2003.
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