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Optimization of ASR and Combination with FMM for the Analysis of Metamaterials and Photonic Crystals in Three Dimensional Structures

Nekuee, Amir Hossein | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40865 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Akbari, Mahmood; Mehrani, Khashayar
  7. Abstract:
  8. To design and identify specific properties of Metamaterials we need methods that accurately and quickly provide precise information about these composite materials for engineers. In this thesis we use FMM method with ASR technique for the analysis of Metamaterials and photonic crystals in three dimensional structures. In the second chapter FMM method is described briefly and then ASR technique for applying in the FMM method is introduced. ASR approach has large convergence rates in all types of gratings particularly metallic ones and with optimization that we have done for two dimensional periodic gratings convergence speed is increased more. In the third chapter using ASR reflection and transmission coefficients of Metamaterials are obtained and then these coefficients are used to calculate the effective electromagnetic parameters of Metamaterials. These parameters have an important role in understanding the interaction of electromagnetic waves with these materials and help to know their properties. Also, with this method and using phase changes of reflection and transmission coefficients, we extract guided modes of photonic crystal slabs and then draw band structures of these three dimensional slabs. Finding modes by using this method is much faster than other numerical methods.
  9. Keywords:
  10. Photonic Crystal ; Effective Parameters ; Photonic Crystal Slab ; Band Structure ; Metamaterial ; Metallic Grating

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