A Masterwork of Byzantine Art The David Plates: The Story by Esther M. Morales, Merantine Hens.(Editor)

By Esther M. Morales, Merantine Hens.(Editor)

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Extra info for A Masterwork of Byzantine Art The David Plates: The Story of David and Goliath (A Closer Look)

Example text

The light cone represents the dispersion of the substrate material, which is in the given case air. If a mode lies below the light cone, the mode is confined to the material slab, and for a perfect structure only material losses occur. If a mode lies above the light cone, the mode can leak into the surrounding space, which leads to increased losses. 2 Photonic Crystal Waveguide The simplest form of a WG inside a PC can be obtained by removing a row of holes in a bulk PC, Fig. 3(b). The structure is not any longer translational symmetric in two dimensions, but only in one dimension along the WG axis, which is the z-axis.

In Chapter 1 of this thesis, we review the fundamental properties of PCs. The wave propagation in strip-WG and two-dimensional (2D) PCs is discussed, and band diagrams are introduced that characterize the PC properties. Bulk PCs without defect reveal a complete PBG for transverse electric (TE) fields, while inside a defect-WG guided modes appear, which have a group velocity that approaches zero and a chromatic dispersion that grows to infinity as the band-edge is reached. The special modal behavior in PCs results from coupling mechanisms between counter-propagating waves, and the emergence of structure asymmetries can lead to additional coupling phenomena.

3 a, where the lattice constant a is scalable due to the scaling laws, Eq. 12. The TE band diagram, Fig. 5(a), clearly shows a considerably large frequency range without any modes, this is the photonic bandgap (PBG). For the TM band diagram, Fig. 5(b), there is no PBG. The light cone represents the dispersion of the substrate material, which is in the given case air. If a mode lies below the light cone, the mode is confined to the material slab, and for a perfect structure only material losses occur.

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