Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Calculations of Electric Potential II01:27

Calculations of Electric Potential II

2.4K
An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
2.4K
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.8K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
2.8K
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.7K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
2.7K
Electric Dipoles and Dipole Moment01:30

Electric Dipoles and Dipole Moment

6.7K
Consider two charges of equal magnitude but opposite signs. If they cannot be separated by an external electric field, the system is called a permanent dipole. For example, the water molecule is a dipole, making it a good solvent.
Theoretically, studying electric dipoles leads to understanding why the resultant electric forces around us are weak. Since electric forces are strong, remnant net charges are rare. Hence, the interaction between dipoles helps us understand electrical interactions in...
6.7K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

1.3K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
1.3K
Diamagnetic Shielding of Nuclei: Local Diamagnetic Current01:14

Diamagnetic Shielding of Nuclei: Local Diamagnetic Current

1.5K
An applied magnetic field causes the electrons present in the molecule to circulate, setting up a local diamagnetic current within the molecule. The local diamagnetic current arising from circulating sigma-bonding electrons induces a magnetic field, Blocal that opposes the applied magnetic field, B0. The effective magnetic field experienced by these nuclei is given by the difference between the applied and local magnetic fields in a phenomenon called local diamagnetic shielding. Essentially,...
1.5K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Lasing at K Points of a Honeycomb Plasmonic Lattice.

Physical review letters·2019
Same author

Lasing in dark and bright modes of a finite-sized plasmonic lattice.

Nature communications·2017
Same author

Controlling quantum dot emission by plasmonic nanoarrays.

Optics express·2015
Same author

Surface lattice resonances and magneto-optical response in magnetic nanoparticle arrays.

Nature communications·2015
Same author

Strong coupling between surface plasmon polaritons and emitters: a review.

Reports on progress in physics. Physical Society (Great Britain)·2014
Same author

Nonlocal quantum fluctuations and fermionic superfluidity in the imbalanced attractive Hubbard model.

Physical review letters·2014

Related Experiment Video

Updated: Mar 7, 2026

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles
08:39

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

13.3K

Coupled dipole approximation across the Γ-point in a finite-sized nanoparticle array.

J-P Martikainen1, A J Moilanen1, P Törmä2

  • 1COMP Centre of Excellence, Department of Applied Physics, Aalto University, PO Box 15100, 00076 Aalto, Finland.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|February 22, 2017
PubMed
Summary
This summary is machine-generated.

We investigated nanoparticle arrays near the lattice Γ-point. Strong modulations in dipole distributions and extinction efficiencies were observed above the Γ-point, impacting radiation patterns.

Keywords:
coupled dipole approximationnanoparticle arrayplasmonics

More Related Videos

Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
11:54

Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles

Published on: June 25, 2018

10.9K
Utilization of Plasmonic and Photonic Crystal Nanostructures for Enhanced Micro- and Nanoparticle Manipulation
09:29

Utilization of Plasmonic and Photonic Crystal Nanostructures for Enhanced Micro- and Nanoparticle Manipulation

Published on: September 27, 2011

12.7K

Related Experiment Videos

Last Updated: Mar 7, 2026

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles
08:39

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

13.3K
Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
11:54

Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles

Published on: June 25, 2018

10.9K
Utilization of Plasmonic and Photonic Crystal Nanostructures for Enhanced Micro- and Nanoparticle Manipulation
09:29

Utilization of Plasmonic and Photonic Crystal Nanostructures for Enhanced Micro- and Nanoparticle Manipulation

Published on: September 27, 2011

12.7K

Area of Science:

  • Nanophotonics
  • Condensed Matter Physics
  • Computational Electromagnetics

Background:

  • Nanoparticle arrays exhibit unique optical properties.
  • Understanding their response to incident fields is crucial for nanophotonic applications.
  • Lattice resonances, particularly near the Γ-point, significantly influence optical behavior.

Purpose of the Study:

  • To investigate the optical response of finite-sized nanoparticle arrays near the lattice Γ-point.
  • To analyze the spatial distribution of induced dipoles.
  • To examine the resulting extinction efficiencies and radiation patterns.

Main Methods:

  • Utilizing the coupled dipole approximation (CDA) for numerical simulations.
  • Analyzing the incident field's interaction with the nanoparticle array.
  • Calculating real-space extinction efficiencies and far-field radiation patterns.

Main Results:

  • Observed strongly inhomogeneous dipole distributions within the array.
  • Identified significant modulations in optical properties when the energy is above the Γ-point.
  • Demonstrated a clear link between dipole inhomogeneity and observable extinction efficiencies and radiation patterns.

Conclusions:

  • Finite-sized nanoparticle arrays exhibit complex optical responses near the Γ-point.
  • The coupled dipole approximation effectively captures inhomogeneous dipole distributions and their consequences.
  • Results provide insights into controlling light-matter interactions in nanophotonic systems.