By Steven G. Johnson
ISBN-10: 0792376099
ISBN-13: 9780792376095
Photonic Crystals: the line from concept to perform explores the theoretical street resulting in the sensible software of photonic band gaps. those new optimum units are according to symmetry and resonance and the advantages and boundaries of hybrid "two dimensional" slab platforms in 3 dimensions. The booklet additionally explains that additionally they symbolize a go back to the best of an omnidirectional band hole in a constitution encouraged via and emulating the simplicity of 2 dimensions. eventually, the ebook takes a glance at computational tips on how to resolve the mathematical difficulties that underlie all undertakings during this box. Photonic Crystals: the line from concept to perform should still quickly convey the optical expert and engineer in control in this intersection of electromagnetism and solid-state physics. it is going to additionally offer a very good addition to any graduate direction in optics.
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Additional info for Photonic Crystals - From Theory to Practice
Example text
4: Projected band diagrams corresponding to the two slabs in Fig. 3. Whether states are even or odd with respect to the horizontal mirror plane of the slab is indicated by open or filled circles, respectively. 59 The reason we refer to these systems as “photonic crystal” slabs is that, like their twodimensional brethren, they have a band gap—but not of the traditional sort. A “band gap” in this case is a range of frequencies in which no guided modes exist. It is not a true band gap because there are still radiation modes at those frequencies.
Although our examples are limited to two-dimensional systems, the same method is applicable in three dimensions. Photonic crystal cavities have been used because of the flexibility and tunability they provide, but the theory is independent of the confinement mechanism. Furthermore, several additional refinements are possible. Many 50 degrees of freedom remain in high index-contrast crossings (as in Fig. 4), such as the shape of the intersection and the size and number of holes, that could be used to further reduce radiation losses and increase throughput.
We first outline the numerical methods that were used in our calculations. We then introduce slab band structures for two characteristic systems, the slab analogues of Fig. 1, suspended in air. The selection of an appropriate slab thickness is discussed, and an estimate for the optimal slab thickness is derived using a variational approach. Finally, the effects of different backgrounds, the regions above and below the slab, are examined in the context of the two example structures. Band structures are given for solid, periodic, and symmetry-breaking backgrounds.
Photonic Crystals - From Theory to Practice by Steven G. Johnson
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