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Related Experiment Video

Updated: May 11, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

An operator-based approach to topological photonics.

Alexander Cerjan¹, Terry A Loring²

¹Center for Integrated Nanotechnologies, Sandia National Laboratories, Albuquerque, NM 87185, USA.

Nanophotonics (Berlin, Germany)

|December 5, 2024

Summary

This summary is machine-generated.

Researchers developed a new real-space framework to analyze topological photonics, enabling the study of novel photonic crystals. This method reveals robust localized states in systems lacking a complete band gap, paving the way for advanced topological lasers and waveguides.

Keywords:

topology photonic crystals topological photonics

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Area of Science:

Topological Photonics
Condensed Matter Physics
Materials Science

Background:

Topological structures in photonics offer robust chiral edge and confined states for advanced devices.
Current band theory methods limit the analysis of topological properties in photonic systems.

Purpose of the Study:

To develop a novel theoretical framework for assessing photonic topology directly in real space.
To overcome limitations of band theoretic approaches in studying topological photonic structures.

Main Methods:

Developed an operator-based framework using effective Hamiltonians and position operators in real space.
Avoided the calculation of Bloch eigenstates and band structures for topology assessment.
Introduced a novel class of topological invariants derived from crystalline symmetries.

Main Results:

Demonstrated that photonic crystals with broken time-reversal symmetry and incomplete band gaps exhibit nontrivial topology.
Identified associated boundary-localized chiral resonances in these systems.
Showcased the prediction of robust localized states for waveguides and cavities using the new framework.

Conclusions:

The developed real-space framework expands the study of topological photonics beyond traditional band theory.
Findings suggest potential for new topological laser designs and robust optical components like waveguides and cavities.