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Revised guided mode expansion on dispersive photonic media

Eftekharian, A ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1117/12.809457
  3. Publisher: 2009
  4. Abstract:
  5. A novel plane-wave-based approach for analytical treatment of dispersive relation is developed and applied to analyze the behavior of electromagnetic waves in plasmonic-photonic-crystal slabs. Here Drude model is used for describing frequency dependent permittivity of plasma rods in host dielectric medium. In the present work, dispersion relation below and above the light line is calculated approximately by means of Maxwell-Garnett effective medium and Revised Plane Wave Method (RPWM). The eigen-functions are then used in Revised Guided Mode Expansion (RGME) as the set of orthonormal bases. Following this procedure, the accurate band structure is obtained. In these kind of methods there are two main sources of error: stair-casing error due to discretization and numerical dispersion due to calculation of frequency domain dielectric matrix elements with finite number of bases. Sub-cell averaging and harmonic inversion methods are suggested to overcome these errors. For investigation purpose we apply this approach for calculating photonic dispersion of dispersive and non-dispersive photonic crystal slabs. Resulted band structures are verified by conventional FDTD method as well. © 2009 SPIE
  6. Keywords:
  7. Dispersion ; Effective index ; Harmonic inversion ; Photonic crystals ; Revised guided mode expansion method ; Analytical treatment ; Cell averaging ; Dielectric matrixes ; Dielectric medium ; Discretization ; Dispersion relations ; Dispersive relation ; Drude models ; Effective medium ; Eigen function ; FDTD method ; Finite number ; Frequency dependent permittivity ; Frequency domains ; Guided modes ; Harmonic inversions ; Light lines ; Maxwell-Garnett ; Numerical dispersions ; Orthonormal basis ; Photonic dispersion ; Photonic-crystal slab ; Plane wave ; Plane wave methods ; Band structure ; Crystal atomic structure ; Dispersion (waves) ; Dispersions ; Finite difference time domain method ; Garnets ; Guided electromagnetic wave propagation ; Harmonic analysis ; Numerical methods ; Phonons ; Silicon on insulator technology
  8. Source: Photonic and Phononic Crystal Materials and Devices IX, San Jose, CA, 27 January 2009 through 29 January 2009 ; Volume 7223 , 2009 ; 0277786X (ISSN)
  9. URL: https://www.spiedigitallibrary.org/conference-proceedings-of-spie/7223/1/Revised-guided-mode-expansion-on-dispersive-photonic-media/10.1117/12.809457.full