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Chapter I Brief Introduction...<br />

would be modulated by domains, whereas those associated with even-rank<br />

tensor remain constants. This makes the crystal different from a<br />

homogeneous single domain one and, specially, suitable for nonlinear<br />

photonics applications. In case of wave length of light wave comparable with<br />

or smaller than the size of domain, i.e., the reciprocal vector of the modulated<br />

structure is comparable or larger than the wave vector of light wave, many<br />

novel effects may be created through the interaction of the wave vectors and<br />

reciprocal vectors of super-lattice, for instance, the enhancement of optical<br />

frequency conversion, the amplification of light scattering signal, the<br />

generation of entangled photon pair and polariton excitation etc. The interest<br />

in engineering domain structure of ferroelectric crystal also lie in applying to<br />

novel devices matched with contemporary nonlinear photonics, laser and<br />

quantum dots [106].<br />

One interesting phenomenon of optics is the slow light, which is the<br />

propagation of an optical pulse or other modulations of an optical carrier at<br />

low group velocity. This term is applied when the velocity is at least 100 times<br />

slower than the speed of light in vacuum. Recently, Monat et at [107]<br />

reviewed advances related to slow light in periodic structures, where the<br />

refractive index varies along one or two directions, i.e., gratings and planar<br />

photonic crystals. The recent nonlinear experiment performed in photonic<br />

crystal waveguides, which demonstrate the strong reinforcement of nonlinear<br />

third order optical phenomenon with slow light. They have discussed the<br />

challenges associated with slow light in 2-D structures and their unique<br />

advantage in dispersion engineering for creating a broadband nonlinear<br />

device for all optical processing. By breaking down the relation between<br />

33

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