---
_id: '3836'
abstract:
- lang: eng
  text: We apply the Discontinuous Galerkin Time Domain (DGTD) method for numerical
    simulations of the second harmonic generation from various metallic nanostructures.
    A Maxwell–Vlasov hydrodynamic model is used to describe the nonlinear effects
    in the motion of the excited free electrons in a metal. The results are compared
    with the corresponding experimental measurements for split-ring resonators and
    plasmonic gap antennas.
author:
- first_name: Yevgen
  full_name: Grynko, Yevgen
  id: '26059'
  last_name: Grynko
- first_name: Jens
  full_name: Förstner, Jens
  id: '158'
  last_name: Förstner
  orcid: 0000-0001-7059-9862
citation:
  ama: 'Grynko Y, Förstner J. Simulation of Second Harmonic Generation from Photonic
    Nanostructures Using the Discontinuous Galerkin Time Domain Method. In: Agrawal
    A, ed. <i>Recent Trends in Computational Photonics</i>. Cham: Springer International
    Publishing; 2017:261-284. doi:<a href="https://doi.org/10.1007/978-3-319-55438-9_9">10.1007/978-3-319-55438-9_9</a>'
  apa: 'Grynko, Y., &#38; Förstner, J. (2017). Simulation of Second Harmonic Generation
    from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method.
    In A. Agrawal (Ed.), <i>Recent Trends in Computational Photonics</i> (pp. 261–284).
    Cham: Springer International Publishing. <a href="https://doi.org/10.1007/978-3-319-55438-9_9">https://doi.org/10.1007/978-3-319-55438-9_9</a>'
  bibtex: '@inbook{Grynko_Förstner_2017, place={Cham}, title={Simulation of Second
    Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin
    Time Domain Method}, DOI={<a href="https://doi.org/10.1007/978-3-319-55438-9_9">10.1007/978-3-319-55438-9_9</a>},
    booktitle={Recent Trends in Computational Photonics}, publisher={Springer International
    Publishing}, author={Grynko, Yevgen and Förstner, Jens}, editor={Agrawal, ArtiEditor},
    year={2017}, pages={261–284} }'
  chicago: 'Grynko, Yevgen, and Jens Förstner. “Simulation of Second Harmonic Generation
    from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method.”
    In <i>Recent Trends in Computational Photonics</i>, edited by Arti Agrawal, 261–84.
    Cham: Springer International Publishing, 2017. <a href="https://doi.org/10.1007/978-3-319-55438-9_9">https://doi.org/10.1007/978-3-319-55438-9_9</a>.'
  ieee: 'Y. Grynko and J. Förstner, “Simulation of Second Harmonic Generation from
    Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method,”
    in <i>Recent Trends in Computational Photonics</i>, A. Agrawal, Ed. Cham: Springer
    International Publishing, 2017, pp. 261–284.'
  mla: Grynko, Yevgen, and Jens Förstner. “Simulation of Second Harmonic Generation
    from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method.”
    <i>Recent Trends in Computational Photonics</i>, edited by Arti Agrawal, Springer
    International Publishing, 2017, pp. 261–84, doi:<a href="https://doi.org/10.1007/978-3-319-55438-9_9">10.1007/978-3-319-55438-9_9</a>.
  short: 'Y. Grynko, J. Förstner, in: A. Agrawal (Ed.), Recent Trends in Computational
    Photonics, Springer International Publishing, Cham, 2017, pp. 261–284.'
date_created: 2018-08-07T10:42:30Z
date_updated: 2022-01-06T06:59:41Z
ddc:
- '530'
department:
- _id: '61'
doi: 10.1007/978-3-319-55438-9_9
editor:
- first_name: Arti
  full_name: Agrawal, Arti
  last_name: Agrawal
file:
- access_level: request
  content_type: application/pdf
  creator: fossie
  date_created: 2018-08-16T08:05:50Z
  date_updated: 2022-01-06T06:59:40Z
  file_id: '3916'
  file_name: Recent-Trends-in-Computational-Photonics - chapter 9 - Grynko - SHG DG.pdf
  file_size: 2798215
  relation: main_file
file_date_updated: 2022-01-06T06:59:40Z
has_accepted_license: '1'
keyword:
- tet_topic_numerics
- tet_topic_shg
- tet_topic_meta
language:
- iso: eng
page: 261-284
place: Cham
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
- _id: '53'
  name: TRR 142
- _id: '54'
  name: TRR 142 - Project Area A
- _id: '62'
  name: TRR 142 - Subproject A5
publication: Recent Trends in Computational Photonics
publication_identifier:
  isbn:
  - '9783319554372'
  - '9783319554389'
  issn:
  - 0342-4111
  - 1556-1534
publication_status: published
publisher: Springer International Publishing
status: public
title: Simulation of Second Harmonic Generation from Photonic Nanostructures Using
  the Discontinuous Galerkin Time Domain Method
type: book_chapter
user_id: '158'
year: '2017'
...