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Diffraction Analysis of Periodic Structures Using a Transmission-Line Formulation: Principles and Applications

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Abstract:

Using a linear combination of properly chosen spatial harmonics, we present a solution to Maxwell's equations which lends itself to the diffraction analysis of periodic structures. The proposed formulation is in a one-to-one correspondence with the well-known formulation governing the wave propagation along a multi-conductor transmission line. Like other modal methods, this approach can be applied to the modal analysis of a wide class of structures such as 2D and 3D photonic crystals and photonic crystal slabs involving defects. Moreover, using this method, the incidence of a plane or Gaussian wave can also be analyzed so that one is able to predict the existence of the surface plasmons and negative refraction.

Keywords: LINE-DEFECT SLAB WAVEGUIDES; PERIODIC STRUCTURES; PHOTONIC CRYSTAL FIBERS; PHOTONIC CRYSTAL SLABS; TRANSMISSION-LINE FORMULATION

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/jctn.2007.030

Publication date: May 1, 2007

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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