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Equipotential Surfaces and Conductors

Equipotential Surfaces and Conductors

For a conductor in which all charges are at rest, the conductor's surface is equipotential. The electric field is always perpendicular to equipotential surfaces. Therefore, in a conductor with static charges, the electric field just outside the conductor is always perpendicular to the conductor's surface. Any tangential component of the electric field will cause charges to move inside the conductor, which will violate the electrostatic nature of the system. In an electrostatic...

Equipotential Surfaces and Field Lines

Equipotential Surfaces and Field Lines

Electric potential can be pictorially represented as a three-dimensional surface. On such a surface, the electric potential is constant everywhere. The equipotential surface is always perpendicular to the electric field lines, and while it is three-dimensional, it can be treated as an equipotential line in a two-dimensional case. These equipotential lines are also always perpendicular to electric field lines. The term equipotential is often used as a noun, referring to an equipotential line or...

Standing Waves in a Cavity

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Related Experiment Video

Updated: Jul 12, 2025

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

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Topological Transitions and Surface Umklapp Scattering in Weakly Modulated Periodic Metasurfaces.

Kobi Cohen¹, Shai Tsesses¹, Shimon Dolev¹

¹The Andrew and Erna Viterbi Faculty of Electrical and Computer Engineering, Technion - Israel Institute of Technology, Haifa, Israel 3200003.

|November 1, 2023

Summary

We introduce weakly modulated metasurfaces to control surface waves, unlocking unique backward focusing and topological transitions. This approach offers versatile control over wave propagation in artificial media for various applications.

Keywords:

effective medium theory hyperbolic metasurface surface plasmon polaritons topological photonics umklapp scattering

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Area of Science:

* Physics and Applied Sciences
* Nanophotonics and Metasurfaces

Background:

* Controlling surface waves is crucial for imaging, nanophotonics, and light-matter interactions.
* Previous methods using deep-subwavelength structuring overlooked key parameters like corrugation interplay.
* Effective medium theory limits the manipulation of surface wave properties.

Purpose of the Study:

* To explore the control of surface wave transport by utilizing structural degrees of freedom beyond effective medium theory.
* To introduce and investigate weakly modulated metasurfaces for advanced wave manipulation.
* To demonstrate unique wave phenomena enabled by specific structural parameters.

Main Methods:

* Fabrication of groove-structured metal-dielectric surfaces with varying depths and periodicities.
* Experimental and theoretical analysis of surface wave transport through these structured interfaces.
* Investigation of the interplay between corrugation depth and periodicity.

Main Results:

* Demonstrated precise control over surface wave transport, primarily governed by the depth-period interplay.
* Observed unique backward focusing of surface waves via an umklapp process.
* Discovered a novel dual-stage topological transition in wave propagation.

Conclusions:

* Weakly modulated metasurfaces offer a simple and versatile platform for controlling guided waves.
* The findings unlock new possibilities for nanophotonic device design and advanced optical applications.
* This approach extends beyond surface waves to any type of guided wave propagation in artificial media.