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Quodons in Mica pp 425–454Cite as

Extreme Waves and Branching Flows in Optical Media

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Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 221))

Abstract

We address light propagation properties in complex media consisting of random distributions of lenses that have specific focusing properties. We present both analytical and numerical techniques that can be used to study emergent properties of light organization in these media. As light propagates, it experiences multiple scattering leading to the formation of light bundles in the form of branches; these are random yet occur systematically in the medium, particularly in the weak scattering limit. On the other hand, in the strong scattering limit we find that coalescence of branches may lead to the formation of extreme waves of the “rogue wave” type. These waves appear at specific locations and arise in the linear as well as in the nonlinear regimes. We present both the weak and strong scattering limit and show that these complex phenomena can be studied numerically and analytically through simple models.

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Acknowledgments

We acknowledge useful discussions with J.J. Metzger, R. Fleischmann and G. Neofotistos. This work was supported in part by the European Union program FP7-REGPOT-2012-2013-1 under grant agreement 316165.

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Authors and Affiliations

  1. Crete Center of Quantum Complexity and Nanotechnology (CCQCN), Department of Physics, University of Crete, Heraklion, Greece

    Marios Mattheakis & George P. Tsironis

  2. Institute of Electronic Structure and Laser, Foundation for Research and Technology—Hellas (FORTH), Heraklion, Greece

    Marios Mattheakis & George P. Tsironis

  3. Department of Physics and School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138, USA

    Marios Mattheakis

  4. Department of Physics, Nazarbayev University, 53 Kabanbay Batyr Ave., 010000, Astana, Republic of Kazakhstan

    George P. Tsironis

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  1. Marios Mattheakis
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Correspondence to Marios Mattheakis .

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Editors and Affiliations

  1. Departamento de Física Aplicada I, Group of Nonlinear Physics, Universidad de Sevilla, Sevilla, Spain

    Juan F. R. Archilla

  2. Física Aplicada, EPS Gandía, Universidad Politécnica de Valencia, Gandia, Spain

    Noé Jiménez

  3. Física Aplicada, EPS Gandia, Universidad Politécnica de Valencia, Gandia, Spain

    Victor J. Sánchez-Morcillo

  4. Matemática Aplicada, Universidad Politécnica de Valencia, Valencia, Spain

    Luis M. García-Raffi

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Mattheakis, M., Tsironis, G.P. (2015). Extreme Waves and Branching Flows in Optical Media. In: Archilla, J., Jiménez, N., Sánchez-Morcillo, V., García-Raffi, L. (eds) Quodons in Mica. Springer Series in Materials Science, vol 221. Springer, Cham. https://doi.org/10.1007/978-3-319-21045-2_18

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