Photonic Crystals: Molding the Flow of Light - Second EditionSince it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications.
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From inside the book
... field patterns of some electromagnetic modes in different crystals, we gain insight into the nature of band gaps in complex periodic media. We will see that defects in such two-dimensional crystals can localize modes in the plane, and ...
... field strength everywhere ( a = 2 , p = 0 ) . For this reason we consider two field patterns that differ only by an overall multiplier to be the same mode . Our operator notation is reminiscent of quantum mechanics , in which we obtain ...
... field patterns happen to have precisely the same frequency. Usually there is a symmetry that is responsible for the “coincidence”. For example, if the dielectric configuration is invariant under a 120◦ rotation, modes that differ only ...
... field pattern that minimizes the functional : Uf ( H ) A ( H , OH ) ( H , H ) ( 20 ) That is , w / c2 is the minimum of Uƒ ( H ) over all conceivable field patterns H ( subject to the transversality constraint V⚫ H = 0 ) . The ...
... field patterns of the TM modes of the first band (dielectric band) and second band (air band) are shown in figure 3. For modes at the r point, the field pattern is exactly the same in each unit cell. For modes at the X point (the zone ...