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Discrete Optics in Femtosecond Laser Written Waveguide Arrays

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Book cover Femtosecond Laser Micromachining

Part of the book series: Topics in Applied Physics ((TAP,volume 123))

Abstract

The miniaturization of integrated optical devices can achieve geometric dimensions where crosstalk between adjacent waveguides is no longer negligible. In discrete optics, such interactions can be explained using the well-known coupled mode theory [1]. Based on this fundamental theory, systems of coupled waveguides are reduced to systems of discrete, i.e. countable, cells, and the spatial electromagnetic field is separated into the transverse mode profile of each waveguide and a longitudinal dependent amplitude. In the last years, femtosecond laser waveguide writing has been established as a versatile technique to fabricate three-dimensional optical waveguide systems. The following chapter begins with an overview of the basic principles of discrete light propagation. Linear propagation effects are envisaged in the second section. Here, straight and curved lattices are discussed. In the last section, third order nonlinearity is introduced to comprehend nonlinear propagation effects, which provide essential concepts for the development of ultrafast switching and routing devices.

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Notes

  1. 1.

    The optical lattices discussed here generally exhibit also an intrinsic longitudinal dimension which is usually omitted in the nomenclature. However, sometimes the notation (1 + 1)D and (2 + 1)D is used for structures with one or two transverse dimensions, respectively.

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  1. Institute of Applied Physics, Friedrich-Schiller-Universität Jena, Max Wien Platz 1, 07743, Jena, Germany

    Alexander Szameit, Felix Dreisow & Stefan Nolte

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  1. Alexander Szameit
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  1. , IFN-CNR, Politecnico di Milano, P.zza L. da Vinci 32, Milano, 20133, Italy

    Roberto Osellame

  2. , Department of Physics, Politecnico di Milano, Piazza Leonardo da Vinci 32, Milano, 20133, Italy

    Giulio Cerullo

  3. , Department of Physics, Politecnico di Milano, P.zza L. Da Vinci 32, Milano, 20133, Italy

    Roberta Ramponi

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Szameit, A., Dreisow, F., Nolte, S. (2012). Discrete Optics in Femtosecond Laser Written Waveguide Arrays. In: Osellame, R., Cerullo, G., Ramponi, R. (eds) Femtosecond Laser Micromachining. Topics in Applied Physics, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23366-1_13

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