Spectral problem on 3-D photonic crystals

Kaori Nagatou, Malcolm Brown, Myoungnyoun Kim, Yoshitaka Watanabe, Ian Wood

研究成果: 著書/レポートタイプへの貢献会議での発言

抜粋

In this research we will study some fundamental mathematical properties of photonic crystals which have many applications in optics and nanotechnology. A good model for these crystals is described by the Maxwell's equations with periodic electric permittivity. The spectral problem for Maxwell's equations possesses bands of essential spectrum which may be separated by gaps. Waves of a frequency in such a gap cannot propagate in the crystal, while other frequencies can. This makes photonic crystals very interesting for applications in nanotechnology and other areas. It is important not just to have quantitative numerical evidence for the location of these gaps, but to be able to prove the existence of spectral gaps with mathematical certainty. We propose to use computer assisted methods to achieve this.

元の言語英語
ホスト出版物のタイトルNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
ページ922-925
ページ数4
DOI
出版物ステータス出版済み - 11 26 2009
イベントInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, ギリシャ
継続期間: 9 18 20099 22 2009

出版物シリーズ

名前AIP Conference Proceedings
1168
ISSN(印刷物)0094-243X
ISSN(電子版)1551-7616

その他

その他International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
ギリシャ
Rethymno, Crete
期間9/18/099/22/09

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

これを引用

Nagatou, K., Brown, M., Kim, M., Watanabe, Y., & Wood, I. (2009). Spectral problem on 3-D photonic crystals. : Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 (pp. 922-925). (AIP Conference Proceedings; 巻数 1168). https://doi.org/10.1063/1.3241633