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Photonic crystals (I) Bloch's theorem, photonic band structure, and energy flow

Pi-Gang Luan & Wave Engineering Lab ( 欒丕綱 & 波動工程實驗室 ) Institute of Optical Sciences National Central University ( 中央大學光電科學研究所 ). Photonic crystals (I) Bloch's theorem, photonic band structure, and energy flow. 1D Crystal. 3D Crystal. 2D Crystal. Photonic/Sonic Crystals.

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Photonic crystals (I) Bloch's theorem, photonic band structure, and energy flow

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  1. Pi-Gang Luan & Wave Engineering Lab (欒丕綱 & 波動工程實驗室) Institute of Optical Sciences National Central University (中央大學光電科學研究所) Photonic crystals (I) Bloch's theorem, photonic band structure, and energy flow

  2. 1D Crystal 3D Crystal 2D Crystal Photonic/Sonic Crystals

  3. 3D Phononic Crystal?

  4. Photonic/Sonic Band Structure

  5. Applications

  6. Photonic crystals as optical components P. Halevi et.al. Appl. Phys. Lett. 75, 2725 (1999) See also Phys. Rev. Lett. 82, 719 (1999)

  7. Periodic function, Fourier Series and Reciprocal Lattice

  8. Triangular Lattice Lattice Bases vs. Reciprocal Lattice Bases (2D) Square Lattice

  9. Binary System and Structure Factor (2D)

  10. Example 1: Square Lattice, Circular Rods/Holes

  11. Example 2: Triangular Lattice, Circular Rods/Holes

  12. Example 3: Simple Cubic Lattice, Spheres

  13. Bloch’s Theorem and Brillouin zone Bloch’s Theorem (Electron Systems): First Brillouin Zone

  14. Proving Bloch’s Theorem

  15. Band Structure (Electron System)

  16. Bloch’s Theorem and Photonic Band Structure

  17. See Sakoda Energy Flow in Photonic Crystal

  18. Frequency Contours Square Lattice

  19. Two-Dimensional Inhomogeneous Wave Systems Classical Waves Unified Treatment

  20. Scattered wave Incident wave Binary System, Harmonic Waves

  21. Band Structure Calculation (2D, Scalar Wave)

  22. Reduced Brillouin Zone and Dimensionless Frequency

  23. Photonic Band Gaps Left: Photonic Band , Right: Transmission (20layers)

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