Mie scattering of evanescent waves by a dielectric sphere: comparison of multipole expansion and group-theory methods

1998 ◽  
Vol 15 (12) ◽  
pp. 3003 ◽  
Author(s):  
A. V. Zvyagin ◽  
K. Goto
Keyword(s):  
Group Theory ◽  
Multipole Expansion ◽  
Mie Scattering ◽  
Evanescent Waves ◽  
Dielectric Sphere

SCATTERING FROM SINGLE NANOPARTICLES: MIE THEORY REVISITED

2006 ◽  
Vol 01 (02) ◽  
pp. 179-207 ◽  
Author(s):  
KORT TRAVIS ◽  
JOCHEN GUCK
Keyword(s):  
Cross Section ◽  
Noble Metals ◽  
Mie Theory ◽  
Transverse Field ◽  
Multipole Expansion ◽  
Mie Scattering ◽  
Form Representation ◽  
Scattered Fields ◽  
Longitudinal Fields ◽  
Mie Scattering Theory

Recent intense interest in nanoparticle materials and nanoparticle-based contrast enhancement agents for biophysical applications gives new relevance to Mie scattering theory in its original context of application. The Mie theory still provides the most exact treatment of scattering from single nanoparticles of the noble metals. When recast in terms of modern electrodynamic formalism, the theory provides a concise closed-form representation for the scattered fields and also serves as a vehicle to elaborate the formal electrodynamic technique. The behavior of the Debye truncation condition for the multipole expansion is illustrated with numerical examples, clearly showing the features of the transition between the Rayleigh, dipole and higher order multipole approximations for the scattered fields. The classical Mie theory is an approximation in that only the transverse field components are included in the calculation. Extensions to the classical theory which include the effects of longitudinal fields are discussed and illustrated numerically. The example of scattering from multilayer composite particles is used to examine the feasibility of engineering spectral features of the scattering cross-section to target the requirements of specific applications.

scholarly journals Enhanced Chiral Mie Scattering by a Dielectric Sphere within a Superchiral Light Field

Physics ◽  
2021 ◽  
Vol 3 (3) ◽  
pp. 747-756
Author(s):  
Haifeng Hu ◽  
Qiwen Zhan
Keyword(s):  
Resonance Frequency ◽  
Matrix Method ◽  
Light Field ◽  
Polarized Light ◽  
Mie Scattering ◽  
Light Illumination ◽  
Dielectric Sphere ◽  
Circularly Polarized Light ◽  
Circularly Polarized ◽  
T Matrix

A superchiral field, which can generate a larger chiral signal than circularly polarized light, is a promising mechanism to improve the capability to characterize chiral objects. In this paper, Mie scattering by a chiral sphere is analyzed based on the T-matrix method. The chiral signal by circularly polarized light can be obviously enhanced due to the Mie resonances. By employing superchiral light illumination, the chiral signal is further enhanced by 46.8% at the resonance frequency. The distribution of the light field inside the sphere is calculated to explain the enhancement mechanism. The study shows that a dielectric sphere can be used as an excellent platform to study the chiroptical effects at the nanoscale.

scholarly journals Revealing Fano Combs in Directional Mie Scattering

2021 ◽  
Author(s):  
Javier Marmolejo ◽  
Adriana Canales ◽  
Dag Hanstorp ◽  
Ricardo Méndez-Fragoso
Keyword(s):  
Mie Scattering ◽  
Underlying Structure ◽  
Quantum Mechanical ◽  
Complex Spectrum ◽  
Fano Resonances ◽  
Constructive Interference ◽  
Dielectric Sphere ◽  
Full Spectrum ◽  
Mechanical Analogy ◽  
Scattering Spectrum

Abstract The constructive interference of light reflecting on the inner surface of a dielectric sphere results in a rich Mie scattering spectrum. Each resonance can be understood through a quantum-mechanical analogy, while the structure of the full spectrum is predicted to be a series of Fano resonances. However, the overlap of all the different modes results in such a complex spectrum that an intuitive understanding of the full, underlying structure is still missing. Here we present a directional Mie spectrum obtained by selecting a particular polarization and direction of the scattering of levitating water droplets. We find a significantly simplified spectrum organized in distinct, consecutive Mie Fano Combs composed of equidistant resonances that smoothly evolve from wide Lorentzians into sharp Fano profiles. We then fully explain all these characteristics by expanding on the quantum-mechanical analogy. This makes it possible to understand Mie spectra intuitively without the need for computational simulations.

Macrostructure and microphysics of Saturn's E-ring

1984 ◽  
Vol 75 ◽  
pp. 607-613 ◽  
Author(s):  
Kevin D. Pang ◽  
Charles C. Voge ◽  
Jack W. Rhoads
Keyword(s):  
Size Distribution ◽  
Spherical Shape ◽  
Mie Scattering ◽  
Narrow Size Distribution ◽  
Electrostatic Levitation ◽  
Volcanic Origin ◽  
Micron Diameter

Abstract.All observed optical and infrared properties of Saturn's E-ring can be explained in terms of Mie scattering by a narrow size distribution of ice spheres of 2 - 2.5 micron diameter. The spherical shape of the ring particles and their narrow size distribution imply a molten (possibly volcanic) origin on Enceladus. The E-ring consists of many layers, possibly stratified by electrostatic levitation.

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