“…Graded Photonic Crystals (GPC), which are derived from PCs by gradual modification of the elementary cell of PCs, improve the ability of PCs to control the EM field propagation [2,3], since they have demonstrated their ability to curve the flow of light [4]. Quasi-transparency [5], demultiplexing [6], focussing [7][8][9][10][11][12], coupling [13], mode conversion [14], or the mimicking of a natural structured material [15] are the phenomena which have also been demonstrated by the means of GPCs. Besides, gradient index (GRIN) optics, which finds many applications in imagery and in telecommunications and has been widely studied for a long time (see [16,17]), is undergoing a renewal [18].…”