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Gauss's Law: Planar Symmetry

Gauss's Law: Planar Symmetry

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...

Gauss's Law: Spherical Symmetry

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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...

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Related Experiment Video

Updated: Nov 24, 2025

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

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

Published on: September 25, 2020

Point-Source Geometric Metasurface Holography.

Yanjun Bao¹, Jiahao Yan¹, Xianguang Yang¹

¹Institute of Nanophotonics, Jinan University, Guangzhou 511443, China.

|December 28, 2020

Summary

This summary is machine-generated.

Researchers developed a new method for meta-holograms, decoupling light spin, wavelength, and source position. This breakthrough enables advanced optical functionalities with geometric metasurfaces and point sources.

Keywords:

full-color holography geometric phase metasurface hologram point source

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Last Updated: Nov 24, 2025

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Area of Science:

Optics and Photonics
Metamaterials Science
Holography

Background:

Geometric metasurfaces offer phase control for holographic applications.
Multiplexing holographic images using light properties (angle, spin, wavelength) is challenging due to interrelations.

Purpose of the Study:

To decouple the spin, wavelength, and coordinate of a point source in meta-holograms.
To overcome the inherent interrelation limitations in geometric metasurface holography.

Main Methods:

Incorporation of an effective point source (pinhole) into the metasurface design.
Experimental demonstration of spin-decoupled, full-colored metasurface holography.
Dynamic holography controlled by the point source's position.

Main Results:

Achieved full decoupling of spin, wavelength, and point source coordinate.
Demonstrated spin-decoupled, full-colored holographic images.
Showcased dynamic holographic control via point source positioning.

Conclusions:

The proposed synergetic recipe effectively breaks interrelation limitations in geometric metasurface holography.
This work provides a pathway for advanced meta-optic functionalities using real-world point sources.
Potential applications include single-photon and fluorescence holography.