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Related Concept Videos

Second Uniqueness Theorem01:16

Second Uniqueness Theorem

Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
Singularity Functions for Shear01:26

Singularity Functions for Shear

In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the shear...
Electric Field of Parallel Conducting Plates01:16

Electric Field of Parallel Conducting Plates

Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...

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Related Experiment Video

Updated: Jun 8, 2026

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
15:06

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

Surface plasmons and singularities.

Yu Luo1, J B Pendry, Alexandre Aubry

  • 1The Blackett Laboratory, Department of Physics, Imperial College London, London SW7 2AZ, UK. y.luo09@imperial.ac.uk

Nano Letters
|September 16, 2010
PubMed
Summary
This summary is machine-generated.

Singular plasmonic structures exhibit unique surface plasmon excitations with a finite frequency cutoff. Electric fields diverge below a critical frequency, promising enhanced nonlinear effects and single-molecule detection.

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Last Updated: Jun 8, 2026

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
15:06

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
07:39

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons

Published on: July 21, 2018

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09:12

Colloidal Synthesis of Nanopatch Antennas for Applications in Plasmonics and Nanophotonics

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Area of Science:

  • Plasmonics
  • Nanophotonics
  • Condensed Matter Physics

Background:

  • Surface plasmon polaritons (SPPs) are crucial for light-matter interactions in metallic nanostructures.
  • Understanding plasmon behavior in non-ideal, singular geometries is essential for advanced optical applications.

Purpose of the Study:

  • To systematically investigate surface plasmon excitations in singular plasmonic structures.
  • To analyze the unique optical properties arising from geometric singularities.
  • To explore potential applications in sensing and nonlinear optics.

Main Methods:

  • Application of the conformal transformation technique.
  • Theoretical analysis of surface plasmon behavior.
  • Investigation of electric field behavior and absorbance characteristics.

Main Results:

  • Identified a finite lower bound cutoff frequency for surface plasmon excitations in singular structures.
  • Observed electric field divergence below a critical frequency, even with metallic losses.
  • Discussed the influence of structure shape on absorbance for rough surfaces and nanocrescents.

Conclusions:

  • Singular plasmonic structures exhibit distinct plasmonic features not present in planar surfaces.
  • The findings offer insights into light capture mechanisms in complex geometries.
  • Potential for enhanced nonlinear optical effects and single-molecule detection.