Identifying topology directly from Maxwell’s equations: Band structures and Bloch eigenstates not required

A. Cerjan; T. A. Loring

Identifying topology directly from Maxwell’s equations: Band structures and Bloch eigenstates not required

A. Cerjan
, T. A. Loring

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We develop the mathematical framework for determining a photonic structure's topology directly from its real-space description (i.e., Maxwell’s equations), without the need to calculate its band structure or Bloch eigenstates. We illustrate the generality of this approach in three different systems, a standard 2D photonic crystal topological insulator, a novel class of gapless topological photonic crystals, and photonic topological crystalline insulators.

Original language	English
Title of host publication	International Conference on Metamaterials, Photonic Crystals and Plasmonics
Pages	420
Number of pages	1
State	Published - Jan 1 2023
Externally published	Yes

Cite this

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title = "Identifying topology directly from Maxwell{\textquoteright}s equations: Band structures and Bloch eigenstates not required",

abstract = "We develop the mathematical framework for determining a photonic structure's topology directly from its real-space description (i.e., Maxwell{\textquoteright}s equations), without the need to calculate its band structure or Bloch eigenstates. We illustrate the generality of this approach in three different systems, a standard 2D photonic crystal topological insulator, a novel class of gapless topological photonic crystals, and photonic topological crystalline insulators.",

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AU - Loring, T. A.

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N2 - We develop the mathematical framework for determining a photonic structure's topology directly from its real-space description (i.e., Maxwell’s equations), without the need to calculate its band structure or Bloch eigenstates. We illustrate the generality of this approach in three different systems, a standard 2D photonic crystal topological insulator, a novel class of gapless topological photonic crystals, and photonic topological crystalline insulators.

AB - We develop the mathematical framework for determining a photonic structure's topology directly from its real-space description (i.e., Maxwell’s equations), without the need to calculate its band structure or Bloch eigenstates. We illustrate the generality of this approach in three different systems, a standard 2D photonic crystal topological insulator, a novel class of gapless topological photonic crystals, and photonic topological crystalline insulators.

UR - https://www.scopus.com/pages/publications/85174585734

M3 - Conference contribution

SP - 420

BT - International Conference on Metamaterials, Photonic Crystals and Plasmonics

ER -

Identifying topology directly from Maxwell’s equations: Band structures and Bloch eigenstates not required

Abstract

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Cite this