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Complex phenomena in photonics, in particular, dynamical properties of semiconductor lasers due to delayed coupling, are reviewed. Although considered a nuisance for a long time, these phenomena now open interesting perspectives. Semiconductor laser systems represent excellent test beds for the study of nonlinear delay-coupled systems, which are of fundamental relevance in various areas. At the same time delay-coupled lasers provide opportunities for photonic applications. In this review an introduction into the properties of single and two delay-coupled lasers is followed by an extension to network motifs and small networks. A particular emphasis is put on emerging complex behavior, deterministic chaos, synchronization phenomena, and application of these properties that range from encrypted communication and fast random bit sequence generators to bioinspired information processing. © 2013 American Physical Society.Furthermore, we acknowledge the following organizations and projects: Ministerio de Ciencia e Innovacion, Comunitat Autònoma de les Illes Balears and FEDER (Spain) under Contracts No. TEC2009-14101 (DeCoDicA), No. TEC2012-36335 (TRIPHOP), No. FIS2009-13360, No. FIS2007-60327 (FISICOS), and No. FIS2012-30634 (Intense@cosyp), Grups Competitius, the European Commission for EC FP7 Project PHOCUS under Grant No. 240763, and Institució Catalana de Recerca i Estudis Avançats (ICREA) under its Academia program.Peer Reviewe

Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers