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Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures

Publication ,  Journal Article
Venakides, S; Haider, MA; Papanicolaou, V
Published in: SIAM Journal on Applied Mathematics
January 1, 2000

We compute the transmission properties of two-dimensional (2-D) electromagnetic transverse magnetic (TM) waves that are normally incident on a Fabry-Perot structure with mirrors consisting of photonic crystals. We use a boundary integral formulation with quadratic boundary elements and utilize the Ewald representation for Green's functions. We trace the frequencies of the Fabry-Perot cavity modes traversing the photonic bandgap as the cavity length increases and calculate corresponding Q-values.

Duke Scholars

Published In

SIAM Journal on Applied Mathematics

DOI

ISSN

0036-1399

Publication Date

January 1, 2000

Volume

60

Issue

5

Start / End Page

1686 / 1706

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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Venakides, S., Haider, M. A., & Papanicolaou, V. (2000). Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures. SIAM Journal on Applied Mathematics, 60(5), 1686–1706. https://doi.org/10.1137/s0036139999350779
Venakides, S., M. A. Haider, and V. Papanicolaou. “Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures.” SIAM Journal on Applied Mathematics 60, no. 5 (January 1, 2000): 1686–1706. https://doi.org/10.1137/s0036139999350779.
Venakides S, Haider MA, Papanicolaou V. Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures. SIAM Journal on Applied Mathematics. 2000 Jan 1;60(5):1686–706.
Venakides, S., et al. “Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures.” SIAM Journal on Applied Mathematics, vol. 60, no. 5, Jan. 2000, pp. 1686–706. Scopus, doi:10.1137/s0036139999350779.
Venakides S, Haider MA, Papanicolaou V. Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures. SIAM Journal on Applied Mathematics. 2000 Jan 1;60(5):1686–1706.

Published In

SIAM Journal on Applied Mathematics

DOI

ISSN

0036-1399

Publication Date

January 1, 2000

Volume

60

Issue

5

Start / End Page

1686 / 1706

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics