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An overview of the most relevant properties of photonic crystals is presented considering 1D, 2D and 3D structures. The emphasis is on nonlinear properties both of the second and third order. Different processes like second harmonic generation and parametric processes are considered. Nonlinearities of composite materials are also presented. Finally quantum effects and the control of spontaneous emission in PBG (photonic band gap) are discussed.
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M. Bertolotti (2006) studied this question.
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