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    Approximate analysis and design of rectangular-lattice photonic crystals

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    Date
    2003-08
    Author
    Khorasani, Sina
    Adibi, Ali
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    Abstract
    We present a theoretical analysis of wave propagation in rectangular- and square-lattice photonic crystals by approximating the arbitrary refractive-index function with a staircase profile. This profile has a number of tunable parameters that allow one to fit the band structures of the staircase and the desired structure over a large frequency range. The staircase profile is such that its corresponding two-dimensional wave equation decomposes into two one-dimensional equations by means of a constant decoupling parameter. We show that basic features of the band structure and Bloch waves in photonic crystals can be analyzed theoretically through this simple approximation.
    URI
    http://hdl.handle.net/1853/45489
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