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Fundamentals of Photonic Crystals

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Computational Photonic Sensors

Abstract

In this chapter, the basic principles of photonic crystal (PhC) structures and their possible applications are presented. In this context, one-dimensional photonic crystals, Bloch’s theorem including Maxwell’s equations in periodic media, are discussed thoroughly. Additionally, the different types of defects, bandgap size, and the relation between the Brillouin zone and the reciprocal lattice are introduced. Further, the different types of PhCs such as one-dimensional, two-dimensional, and three-dimensional structures are presented in detail.

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Authors and Affiliations

  1. Faculty of Engineering, Engineering Mathematics and Physics Department, Cairo University, Giza, Egypt

    Essam M. A. Elkaramany

  2. Center for Photonics and Smart Materials and Nanotechnology Engineering Program, Zewail City of Science and Technology, October Gardens, 6th of October City, Giza, Egypt

    Mohamed Farhat O. Hameed

  3. Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt

    Mohamed Farhat O. Hameed

  4. Centre for Photonics and Smart Materials, Zewail City of Science and Technology, October Gardens, 6th of October City, Giza, Egypt

    S. S. A. Obayya

  5. Electronics and Communication Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt

    S. S. A. Obayya

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  1. Essam M. A. Elkaramany
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  2. Mohamed Farhat O. Hameed
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  3. S. S. A. Obayya
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Correspondence to Mohamed Farhat O. Hameed .

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  1. Center for Photonics and Smart Materials and Nanotechnology Engineering Program, Zewail City of Science and Technology, Giza, Egypt

    Mohamed Farhat O. Hameed

  2. Center for Photonics and Smart Materials, Zewail City of Science and Technology, Giza, Egypt

    Salah Obayya

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Elkaramany, E.M.A., Hameed, M.F.O., Obayya, S.S.A. (2019). Fundamentals of Photonic Crystals. In: Hameed, M., Obayya, S. (eds) Computational Photonic Sensors. Springer, Cham. https://doi.org/10.1007/978-3-319-76556-3_2

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  • DOI: https://doi.org/10.1007/978-3-319-76556-3_2

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