Analytical Model to Study the Electrostatic Resonance of Subwavelength Radially Inhomogeneous Negative Permittivity Spheres

This letter presents an analytical model to study the electrostatic scattering of subwavelength radially inhomogeneous spheres whose permittivity can be expressed as a general polynomial function of the radial distance <inline-formula><tex-math notation="LaTeX">$r$</tex-math></inline-formula>. This technique is particularly well suited to characterize the electrostatic resonance, also known as surface plasmon resonance, of radially inhomogeneous negative permittivity spheres.

[1]  A. Alú,et al.  Optical Antennas: References , 2013 .

[2]  Nader Engheta,et al.  Polarizabilities and effective parameters for collections of spherical nanoparticles formed by pairs of concentric double-negative, single-negative, and∕or double-positive metamaterial layers , 2005 .

[3]  B. Jiang,et al.  A matching approach to communicate through the plasma sheath surrounding a hypersonic vehicle , 2015 .

[4]  A. Lichtenberg,et al.  Principles of Plasma Discharges and Materials Processing , 1994 .

[5]  A. Yapar,et al.  Electromagnetic Scattering by Radially Inhomogeneous Dielectric Spheres , 2015, IEEE Transactions on Antennas and Propagation.

[6]  Ari Sihvola,et al.  Character of surface plasmons in layered spherical structures , 2006 .

[7]  Tapan K. Sarkar,et al.  A Study of Negative Permittivity and Permeability for Small Sphere , 2013, IEEE Antennas and Wireless Propagation Letters.

[8]  C. Lin,et al.  Radiation from a spherical antenna covered by a layer of lossy hot plasma. Theory and experiment , 1971 .

[9]  A. Pidwerbetsky,et al.  Electrically small antenna elements using negative permittivity resonators , 2005, IEEE Transactions on Antennas and Propagation.

[10]  Philip J. Wyatt,et al.  Scattering of Electromagnetic Plane Waves from Inhomogeneous Spherically Symmetric Objects , 1962 .

[11]  Effective dielectric response of graded spherical composites , 2003 .

[12]  Ari Sihvola,et al.  Transmission line analogy for calculating the effective permittivity of mixtures with spherical multilayer scatterers , 2012 .

[13]  A. Lichtenberg,et al.  Principles of Plasma Discharges and Materials Processing: Lieberman/Plasma 2e , 2005 .

[14]  Robert A. Shore,et al.  Scattering of an Electromagnetic Linearly Polarized Plane Wave by a Multilayered Sphere: Obtaining a computational form of Mie coefficients for the scattered field. , 2015, IEEE Antennas and Propagation Magazine.

[15]  First-principles approach to dielectric response of graded spherical particles , 2003 .

[16]  Vahid Sandoghdar,et al.  Enhancement of single-molecule fluorescence using a gold nanoparticle as an optical nanoantenna. , 2006, Physical review letters.

[17]  W. Steen Absorption and Scattering of Light by Small Particles , 1999 .

[18]  E. Gospodchikov,et al.  Simple Approach to Electromagnetic Scattering by Small Radially Inhomogeneous Spheres , 2016, IEEE Transactions on Antennas and Propagation.