10.1186/2228-5326-3-27

Frequency comparison of light transmission in a defected quasi-one-dimensional photonic crystal slab

PDF HTML
  • Rostam Moradian1,
  • Jamileh Samadi*2,
  1. Department of Physics, Faculty of Science, Razi University, Kermanshah, 67149-67346, IR Nano Science and Technology Research Center, Razi University, Kermanshah, 67149-67346, IR Computational Physical Science Research Laboratory, Department of Nano-Science, Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, IR
  2. Department of Physics, Faculty of Science, Razi University, Kermanshah, 67149-67346, IR Nano Science and Technology Research Center, Razi University, Kermanshah, 67149-67346, IR
Cover Image

Published in Issue 2013-04-24

How to Cite

Moradian, R., & Samadi, J. (2013). Frequency comparison of light transmission in a defected quasi-one-dimensional photonic crystal slab. International Nano Letters, 3(1 (December 2013). https://doi.org/10.1186/2228-5326-3-27
Crossref
Scopus
Google Scholar
Europe PMC

PDF views: 89

HTML views: 19

Abstract

Abstract Abstract In a new theoretical investigation, we study light transmission through a photonic crystal (PC) slab with limited boundaries at width. By using a tight binding model, photon dispersion relation and photon Green function for a perfect system are obtained. Then, based on the Lippmann-Schwinger formalism, we calculate the effects of disordering on light transmission in the PC channel. We found that the ratio of the electric field for a defected system with respect to a perfect system at a peculiar frequency is maximized for the wave vector corresponding to the first Brillouin zone (BZ) edge showing photon localization. The electric field difference of the first and second neighboring sites with respect to the defect site on the first BZ edges are depicted in several plots indicating frequency dependence which can be applicable in frequency filtering or resonating cavity studies.

Keywords

  • Photonic crystals,
  • Lippmann-Schwinger equation,
  • Photon green function,
  • Disordered structures
PDF HTML

References

  1. Yablonovitch (1987) Inhibited spontaneous emission in solid-state physics and electronics https://doi.org/10.1103/PhysRevLett.58.2059
  2. John (1987) Strong localization of photons in certain disordered dielectric superlattices https://doi.org/10.1103/PhysRevLett.58.2486
  3. Vignolini et al. (2008) Local nanofluidic light sources in silicon photonic crystal microcavities https://doi.org/10.1103/PhysRevE.78.045603
  4. Topolancik et al. (2007) Experimental observation of strong photon localization in disordered photonic crystal waveguides https://doi.org/10.1103/PhysRevLett.99.253901
  5. Xu et al. (2009) A pillar-array based two-dimensional photonic crystal microcavity https://doi.org/10.1063/1.3152245
  6. Galli et al. (2009) Light scattering and Fano resonances in high-Q photonic crystal nanocavities https://doi.org/10.1063/1.3080683
  7. Kong et al. (2011) The effect of random variations of structure parameters on photonic band gaps of one-dimensional plasma photonic crystals
  8. Hong et al. (2000) Band-gap extension of disordered 1D binary photonic crystals
  9. Xu (2007) Photon localization in amorphous photonic crystal https://doi.org/10.1007/s00340-006-2478-5
  10. Dossou et al. (2009) Shallow defect states in two-dimensional photonic crystals https://doi.org/10.1103/PhysRevA.77.063839
  11. Kristensen et al. (2011) Decay dynamics of radiatively coupled quantum dots in photonic crystal slabs https://doi.org/10.1103/PhysRevB.83.075305
  12. Rahachou and Zozoulenko (2005) Light propagation in finite and infinite photonic crystals: the recursive Green’s function technique https://doi.org/10.1103/PhysRevB.72.155117
  13. Fussell and Dignam (2008) Quasimode-projection approach to quantum-dot-photon interactions in photonic-crystal-slab coupled-cavity systems https://doi.org/10.1103/PhysRevA.77.053805
  14. Na et al. (2008) Strongly correlated polaritons in a two-dimensional array of photonic crystal microcavities https://doi.org/10.1103/PhysRevA.77.031803
  15. Garcia-Martin et al. (2003) Defect computations in photonic crystals: a solid state theoretical approach https://doi.org/10.1088/0957-4484/14/2/315
  16. Wubs et al. (2004) Spontaneous-emission rates in finite photonic crystals of plane scatterers https://doi.org/10.1103/PhysRevE.69.016616
  17. Xu et al. (2009) Surface-emitting quantum cascade lasers with metallic photonic-crystal resonators https://doi.org/10.1063/1.3143652
  18. Kim et al. (2009) Experimental demonstration of reflection minimization at two-dimensional photonic crystal interfaces via antireflection structures https://doi.org/10.1063/1.3176949
  19. Joannopoulos et al. (2008) Princeton University Press
  20. Skorobogatiy and Yang (2009) Cambridge University Press
  21. Economou (1979) Springer https://doi.org/10.1007/978-3-662-11900-6