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This paper focuses in slow light and its application in microwave photonics. It makes a brief review of microwave photonics evolution from its inception to new emerging topics. Subsequently, the principles, techniques, and applications of slow light in microwave photonics are addressed more in depth. Finally, the photonic crystal approach is presented as a promising approach to slow-light-based microwave photonics devices. The peculiar design flexibility of this approach is demonstrated with a series of simulations.