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

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

9.3K
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...
9.3K
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

4.1K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
4.1K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

9.0K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
9.0K
Transformation of Plane Stress01:18

Transformation of Plane Stress

667
Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
667
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

9.2K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
9.2K
Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

1.1K
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...
1.1K

You might also read

Related Articles

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

Sort by
Same author

A less-for-more metamaterial paradigm via Laplace-Helmholtz correspondence.

Reports on progress in physics. Physical Society (Great Britain)·2026
Same author

Programmable Hydrodynamic Invisibility Enabled by Machine-Learning-Guided Metamaterials.

Advanced materials (Deerfield Beach, Fla.)·2026
Same author

Dual-Zero-Scattering in Diffusive Transport.

Physical review letters·2026
Same author

Developing an evaluation system for creativity courses in design disciplines oriented to education for sustainable development: an integrated application of AHP-entropy weighting and FCE models.

Frontiers in psychology·2026
Same author

Reinterpreting diffusive constraints: Concentration cloaking via homogenization and pseudoconformal mapping.

Physical review. E·2026
Same author

FreeKD+: A Frequency Knowledge Distillation Framework for Dense Prediction.

IEEE transactions on pattern analysis and machine intelligence·2026
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Jan 9, 2026

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
13:44

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

15.8K

Rescaled Schwarz-Christoffel Transformations for Isotropic, Polygon, and Multiphysics Metamaterials.

Pengfei Zhuang1,2, Chengmeng Wang2, Fubao Yang3

  • 1University of Shanghai for Science and Technology, College of Science, Shanghai 200093, China.

Physical Review Letters
|December 5, 2025
PubMed
Summary
This summary is machine-generated.

Researchers developed a new rescaled Schwarz-Christoffel transformation (RSCT) for precise multiphysics control. This method enables concurrent regulation of thermal and electromagnetic fields using isotropic metamaterials.

More Related Videos

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.5K
Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
09:43

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Published on: August 13, 2019

9.8K

Related Experiment Videos

Last Updated: Jan 9, 2026

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
13:44

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

15.8K
Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.5K
Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
09:43

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Published on: August 13, 2019

9.8K

Area of Science:

  • Metamaterials science
  • Multiphysics engineering
  • Applied mathematics

Background:

  • Conformal transformation is key for isotropic metamaterials.
  • Conventional methods struggle with concurrent thermal and electromagnetic field control due to differing field dissipation.
  • Precise multiphysics control, especially for thermal and electromagnetic fields, remains a challenge.

Purpose of the Study:

  • To propose a common design paradigm for multiphysics-applicable interface matching.
  • To overcome limitations in conventional conformal transformations for concurrent thermal and electromagnetic field regulation.
  • To establish a general platform for perfect interface matching using isotropic media.

Main Methods:

  • Utilizing rescaled Schwarz-Christoffel transformation (RSCT).
  • Leveraging the Schwarz-Christoffel transformation for energy flow direction.
  • Integrating rescaling techniques for energy flow density redistribution.
  • Simultaneously controlling energy flow and energy flow density in isotropic media.

Main Results:

  • RSCT provides a general platform for perfect interface matching in multiphysics.
  • Successfully designed and experimentally validated three energy-flow regulators: expanders, guiders, and cloaks.
  • Demonstrated the capability of RSCT to form devices of arbitrary polygonal shapes.

Conclusions:

  • RSCT offers a novel approach for precise multiphysics control, particularly for thermal and electromagnetic fields.
  • The method enables coordinated signal and heat management in integrated circuits.
  • RSCT holds significant promise for advanced metamaterial applications requiring concurrent field regulation.