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A novel method for band structure analysis of photonic crystal slabs

Nekuee, S. A. H ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1109/JPHOT.2011.2172404
  3. Publisher: 2011
  4. Abstract:
  5. We propose a new method to extract the modes of photonic crystal slabs and, thus, obtain their band structures. These slabs, which are 2-D periodic structures with finite thickness, can completely confine light and have the important advantage of simple construction for applications in integrated optic devices. In this paper, reflection pole method (RPM) is utilized to analyze photonic crystal slabs. Modes are poles of reflection and transmission coefficients of multilayered structures. According to this principle, modes can be detected by only pursuing phase variations of transmission coefficients that are equal to π rad. Therefore, extraction of modes becomes fast and simple through obtaining these coefficients. Photonic crystal slabs are a kind of crossed gratings, and therefore, we use Fourier modal method (FMM) to obtain their reflection and transmission coefficients. FMM is a popular fast convergence method for the analysis of gratings, which offers ease of implementation. In this paper, slab band structures are calculated for dielectric rods in air and air holes in dielectric. The achieved results are compared with 3-D finite-difference time-domain (FDTD) and plane wave expansion (PWE) methods, demonstrating very good agreement
  6. Keywords:
  7. Air holes ; Band structure analysis ; Crossed gratings ; Dielectric rods ; Fast convergence ; Finite difference time-domain ; Finite thickness ; Fourier modal method ; Integrated optic devices ; Multi-layered structure ; Phase variation ; Photonic crystal slab ; Photonic crystal slabs ; Plane wave expansion method ; Reflection and transmission coefficients ; Transmission coefficients ; Band structure ; Crystal structure ; Finite difference time domain method ; Modal analysis ; Periodic structures ; Photonic crystals ; Poles ; Time domain analysis
  8. Source: IEEE Photonics Journal ; Volume 3, Issue 6 , 2011 , Pages 1111-1122 ; 19430655 (ISSN)
  9. URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6053986