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Phys. Rev. B 73, 045130 (2006) [7 pages]

Omnidirectional two-dimensional photonic crystal band gap structures

Thomas Haas and Annett Hesse
Technical University of Ilmenau, D-98684 Ilmenau, Germany

Theodor Doll
Institute of Microtechnology Mainz — IMM, D-55129 Mainz, Germany
Received 5 September 2005; revised 13 December 2005; published 31 January 2006

Omnidirectional (3D) band gaps can evolve in 2(1/2) honeycomb and squared photonic crystal lattices and also in hexagonal crystals [Li and Xia, Phys. Rev. B 64, 153 (2001)]. This study presents a study of the according full parameter space. The calculation of omnidirectional photonic bands is based on the plane wave method for a two-dimensional photonic crystal with an off-plane wave vector kz=k0  sin(theta). The results are fully respecting the parameters index of refraction, the angle of incidence, as well as the structure radii. Omnidirectional band gaps are found for radii between R=0.34 and R=0.5, starting with index values from 3.0 and show maximum relative band gap sizes ranging from 2.7% up to 10%.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.73.045130
DOI: 10.1103/PhysRevB.73.045130
PACS: 78.20.Bh; 78.20.Ci; 42.70.Qs; 42.25.-p
  • 78.20.Bh
    Optical properties of bulk materials and thin films: theory including models, and numerical simulation
  • 78.20.Ci
    Optical constants including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity
  • 42.70.Qs
    Photonic bandgap materials
  • 42.25.-p
    Wave optics
  • YEAR: 2006
KEYWORDS: photonic crystals, photonic band gap, refractive index

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