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

Differential Form of Maxwell's Equations

Differential Form of Maxwell's Equations

James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and...

Divergence and Stokes' Theorems

Divergence and Stokes' Theorems

The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...

Gradient and Del Operator

Gradient and Del Operator

In mathematics and physics, the gradient and del operator are fundamental concepts used to describe the behavior of functions and fields in space. The gradient is a mathematical operator that gives both the magnitude and direction of the maximum spatial rate of change. Consider a person standing on a mountain. The slope of the mountain at any given point is not defined unless it is quantified in a particular direction. For this reason, a "directional derivative" is defined, which is a vector...

Divergence and Curl of Electric Field

Divergence and Curl of Electric Field

The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as

Boundary Conditions for Current Density

Boundary Conditions for Current Density

Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.

Mesh Analysis for AC Circuits

Mesh Analysis for AC Circuits

In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...

You might also read

Related Articles

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

Sort by

Same author

Integrated silicon nitride devices via inverse design.

Nature communications·2025

Same author

Reconfigurable electrostatically actuated 1 × 5 rotary MOEMS switch.

Optics express·2025

Same author

Silicon nitride TM-pass polarizer using inverse design.

Optics express·2023

Same author

Efficient integrated tri-modal coupler for few-mode fibers.

Optics express·2022

Same author

Compact dual-polarization silicon integrated couplers for multicore fibers.

Optics letters·2021

Same author

A control framework to optimize public health policies in the course of the COVID-19 pandemic.

Scientific reports·2021

Search research articles

Related Experiment Video

Updated: Jan 1, 2026

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Published on: July 5, 2024

Optimization of the electromagnetic scattering problem based on the topological derivative method.

Julián L Pita Ruiz, Alan A S Amad, Lucas H Gabrielli

|December 28, 2019

Summary

A novel topological derivative method optimizes electromagnetic designs. This efficient approach simplifies creating binary designs for devices using standard electrodynamics formulations.

More Related Videos

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

Related Experiment Videos

Last Updated: Jan 1, 2026

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Published on: July 5, 2024

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

Area of Science:

Electromagnetics
Computational Science
Materials Science

Background:

Topological derivative methods are crucial for shape and topology optimization.
Applications span imaging processing, inverse problems, and metamaterial design.
Electromagnetic design problems require efficient optimization techniques.

Purpose of the Study:

Develop a new optimization method for electromagnetic design problems.
Utilize the topological derivative concept for sensitivity analysis.
Apply the method to find local optima in electromagnetic device design.

Main Methods:

Rigorously derived the topological derivative for electromagnetic scattering problems.
Employed the topological derivative as a gradient descent direction.
Integrated the method with conventional finite element formulations for electrodynamics.

Main Results:

The developed topology design algorithm is simple and efficient.
The method naturally produces binary designs.
Demonstrated performance through numerical experiments in 2D and 3D.

Conclusions:

The topological derivative offers an effective approach for electromagnetic design optimization.
The method's simplicity and efficiency make it suitable for practical applications.
Validated the formulation's performance across various spatial dimensions.