# Bulk-edge correspondence in open photonic systems

https://mdr.nims.go.jp/datasets/d04a868f-818b-4f70-a013-f92b8a8b4e23

## Files

- [bec.pdf](https://mdr.nims.go.jp/filesets/f8b965e9-1b33-410a-8b7a-6dd03de23125/download) ([Detail](https://mdr.nims.go.jp/filesets/f8b965e9-1b33-410a-8b7a-6dd03de23125.md))

## Id

d04a868f-818b-4f70-a013-f92b8a8b4e23

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2024-05-13T07:30:57.021565Z

## Updated at

2024-05-14T03:30:10.573606Z

## Published at

2024-05-14T03:30:11.049653Z

## Doi

https://doi.org/10.48505/nims.4508

## First published url

https://doi.org/10.1080/17455030.2021.1923858

## Date published

2024-03-03

## Recorded date published

2024-3-3

## Resource type

journal_article

## Manuscript type

accepted_manuscript

## Collection



## Title

- title: Bulk-edge correspondence in open photonic systems
  title_type: original
  lang: en

## Description

- description: "We study the bulk-edge correspondence in topological photonic crystals
    with open boundary.  If boundary is open, edge states become leaky inside the
    light cone, but still exhibit a chiral and gapless property taking into account
    the blurring of their band structure due to the leakage. The so-called bulk-edge
    correspondence is thus verified. \r\nOn the other hand, in closed boundaries,
    edge states exhibit the well-defined band structure without the blurring and show
    clearly the bulk-edge correspondence. \r\nTo demonstrate these results, we employ
    the transfer-matrix formalism and derive reflection matrices of semi-infinite
    systems. Optical density of states for the system with open boundaries is available
    via the Krein-Friedel-Lloyd formula for the reflection matrices. \r\nThe leaky
    photonic band structure of the edge states is obtained by following the peaks
    and widths of the density of states  as a function of momentum parallel to the
    boundary.  \r\nOur derivation of the leaky band structure does not rely on possible
    effective non-hermitian hamiltonians, but relies on  a first-principles calculation
    of  the Maxwell equation.      "
  description_type: abstract
  lang: und

## Creator

- name: Tetsuyuki Ochiai
  role: author
  orcid: https://orcid.org/0000-0003-2933-0014
  organization: National Institute for Materials Science

## Contact agent



## Publisher

organization: Informa UK Limited

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## Keyword

- subject: open boundary
  schema: not_defined
- subject: Krein-Friedel-Lloyd formula
  schema: not_defined
- subject: photonic crystal
  schema: not_defined

## Rights

- description: This is an Accepted Manuscript version of the following article, accepted
    for publication in Waves in Random and Complex Media. Ochiai, T. (2024). Bulk-edge
    correspondence in open photonic systems. Waves in Random and Complex Media, 34(2),
    951–968. https://doi.org/10.1080/17455030.2021.1923858. It is deposited under
    the terms of the Creative Commons Attribution-NonCommercial License (http://creativecommons.org/licenses/by-nc/4.0/),
    which permits non-commercial re-use, distribution, and reproduction in any medium,
    provided the original work is properly cited.
  identifier: https://creativecommons.org/licenses/by-nc/4.0/

## Other identifier(s)



## Data origin

- data_origin_type: other

## Embargo

start_date: 2021-05-11
end_date: 2022-05-11

## Journal

- title: Waves in Random and Complex Media
  issn: '17455030'
  volume: '34'
  issue: '2'
  start_page: 951
  end_page: 968

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## Funding

- identifier: 17K05507
  funder_name: JSPS KAKENHI

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## Fileset

- id: f8b965e9-1b33-410a-8b7a-6dd03de23125
  filename: bec.pdf
  content_type: application/pdf
  size: 823711
  md5: e226b281f2893cea35306ea1cfb15e86

## Thumbnail

fileset_id: f8b965e9-1b33-410a-8b7a-6dd03de23125
filename: bec.pdf