Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Design Example: Identifying the Locations of Monuments in the Field Using Global Positioning System Device

Design Example: Identifying the Locations of Monuments in the Field Using Global Positioning System Device

Surveyors use Global Positioning System (GPS) technology to measure the precise location and elevation of points on Earth. In a recent survey, GPS receivers were used to determine the coordinates and elevations of two park monuments. The process involved careful mission planning, data collection, and correction to ensure accuracy. The survey began with mission planning to identify optimal satellite visibility and minimize Position Dilution of Precision (PDOP). A geodetic control point...

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...

Exceptions to the Octet Rule

Exceptions to the Octet Rule

Many covalent molecules have central atoms that do not have eight electrons in their Lewis structures. These molecules fall into three categories:

Lewis Symbols and the Octet Rule

Lewis Symbols and the Octet Rule

Chemical bonds are complex interactions between two or more atoms or ions, which reduce the potential energy of the molecule. Gilbert N. Lewis developed a model called the Lewis model that simplified the depiction of chemical bond formation and provided straightforward explanations for the chemical bonds seen in most common compounds.

The Aufbau Principle and Hund's Rule

The Aufbau Principle and Hund's Rule

To determine the electron configuration for any particular atom, we can build the structures in the order of atomic numbers. Beginning with hydrogen, and continuing across the periods of the periodic table, we add one proton at a time to the nucleus and one electron to the proper subshell until we have described the electron configurations of all the elements. This procedure is called the aufbau principle, from the German word aufbau (“to build up”). Each added electron occupies the...

The Quotient Rule

The Quotient Rule

The quotient rule is a fundamental differentiation technique in calculus used to differentiate functions expressed as a ratio of two differentiable functions. Given a function of the form:Where g(x) and h(x) are both differentiable and h(x) ≠ 0, the derivative of f(x) is given by:Example:The quotient rule is beneficial when differentiating rational functions, trigonometric ratios, and exponential functions. For example, given:applying the quotient rule,This rule is essential in solving...

You might also read

Related Articles

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

Sort by

Same author

Free-form thermal cloaks in three dimensions.

Nature communications·2026

Same author

Topology-optimized distributed 3d anisotropic Raman emission.

Optics express·2026

Same author

Topology Optimization of High-Performance Optomechanical Resonator.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2025

Same author

3D Imaging of Optical Modes in Dielectric Photonic Nanocavities with Sub-wavelength Field Confinement.

Nano letters·2025

Same author

Nonlinear quenching of excitonic emission from nanoplatelet films at high excitation densities.

Scientific reports·2025

Same author

Morphogenesis of sound creates acoustic rainbows.

Science advances·2025

Search research articles

Related Experiment Video

Updated: Feb 5, 2026

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

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

Published on: September 27, 2011

Field-enhancing photonic devices utilizing waveguide coupling and plasmonics - a selection rule for

Joakim Vester-Petersen, Søren P Madsen, Ole Sigmund

|September 7, 2018

Summary

Researchers developed a selection rule for designing gold nanostrip arrays to enhance electric fields in thin films. This rule guides optimization for improved light-matter interactions, boosting applications like enhanced upconversion.

More Related Videos

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

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

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

Published on: July 21, 2018

Related Experiment Videos

Last Updated: Feb 5, 2026

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

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

Published on: September 27, 2011

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

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

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

Published on: July 21, 2018

Area of Science:

Plasmonics
Nanophotonics
Materials Science

Background:

Enhancing electric fields in thin films is crucial for light-matter interactions.
Gold nanostructures offer tunable plasmonic properties for field enhancement.

Purpose of the Study:

To systematically design periodic gold-nanostrip arrays for electric field enhancement in thin films.
To propose a selection rule for optimizing nanostrip designs based on field enhancement mechanisms.
To target enhanced spectral upconversion in erbium-doped titanium dioxide (TiO2) thin films.

Main Methods:

Systematic design study of periodic gold-nanostrip arrays.
Development of a selection rule for choosing between guided mode coupling and plasmonic near-field enhancement.
Numerical topology optimization for electric-field enhancement in an erbium-doped TiO2 film.

Main Results:

A selection rule was proposed, enabling a priori choice between different field enhancement mechanisms.
Wavelength and grating period selection can suppress or include waveguiding effects.
Optimized designs demonstrated waveguide excitation and plasmonic response as predicted by the selection rule.

Conclusions:

The proposed selection rule effectively guides the design of gold nanostrip arrays for tailored electric field enhancement.
The study demonstrates a pathway to optimize nanophotonic structures for specific applications, such as enhanced upconversion in rare-earth-doped materials.