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Symmetry in Maxwell's Equations

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Related Experiment Video

Updated: Aug 2, 2025

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

Multiscale dynamical symmetries and selection rules in nonlinear optics.

Gavriel Lerner^1,2, Ofer Neufeld^1,2,3, Liran Hareli⁴

¹Physics Department, Technion - Israel Institute of Technology, Haifa, Israel.

Science Advances

|April 14, 2023

Summary

This summary is machine-generated.

Scientists developed a new theory for electromagnetic (EM) field symmetries, uncovering new selection rules for light-matter interactions. This research enables advanced spectroscopic methods and precise control over light-based technologies.

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Area of Science:

Physics
Optics
Materials Science

Background:

Symmetries and selection rules are crucial in understanding light-matter interactions.
Nonlinear responses are governed by matter symmetries and electromagnetic (EM) field polarization.
Controlling light emission and enabling ultrafast spectroscopy relies on these principles.

Purpose of the Study:

To formulate a general theory for macroscopic and microscopic dynamical symmetries of EM vector fields.
To identify previously unknown symmetries and selection rules in light-matter interactions.
To demonstrate multiscale selection rules experimentally.

Main Methods:

Formulation of a general theory for dynamical symmetries.
Experimental demonstration using high harmonic generation.
Analysis of macroscopic and microscopic symmetries, including quasicrystal-like symmetries.

Main Results:

Revealed previously unidentified symmetries and selection rules in light-matter interactions.
Demonstrated multiscale selection rules experimentally.
Established a framework for understanding complex dynamical symmetries.

Conclusions:

The developed theory provides new insights into light-matter interactions.
This work enables novel spectroscopic techniques for multiscale systems.
Potential applications include imprinting complex structures in extreme ultraviolet-x-ray beams and attosecond pulses.