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- W2030731010 abstract "The word fractal is derived from the latin word fractus , meaning broken. In more scienti c terms, fractal is used to describe geometries that present selfsimilar patterns, such as the small patterns are replicas of the large ones [1]. Fractal theory is applied to a wide range of areas including chemistry, biology, physics and engineering. In electromagnetics, fractals have been used to produce antennas [2], optical devices [3 5] and nanoparticles [6]. In particular, one-dimensional structures such as the Cantor set can be easily constructed and has been used to create broadband devices and enhancing nonlinear effects. The Cantor set has a Hausdor dimension of log (2)/log (3) [1]. A standard Cantor set is created by initially removing the middle third of a segment, creating a Cantor set of order 1. The next order is obtained by removing the middle third of the rst and third remaining segments the procedure could be, in principle, repeated at exhaustion. On the other hand, photonic crystals have been used in a wide variety of applications in ltering, sensors, lasers and multiplexing [7 17]. Photonic crystals are periodic structures of high refractive index contrast (e.g. GaAs and air): in a certain wavelength range (photonic bandgap region), light cannot propagate through the structure. In addition to producing re ectors that are used in lasers [10] and optical lters, defects introduced in the photonic crystal lattice can be used to create microcavities and waveguides. In fact, photonic crystal waveguides can exhibit very interesting properties such as very low group velocities. In this paper, we analyze one-dimensional photonic crystal structures that are based on the Cantor set structures: we modify the traditional Cantor set structure by adding asymmetries in the formation of the Cantor set and study the re ectivity properties of these photonic" @default.
- W2030731010 created "2016-06-24" @default.
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- W2030731010 date "2014-12-01" @default.
- W2030731010 modified "2023-09-23" @default.
- W2030731010 title "Analysis of Asymmetric Cantor Set Multi-Layered Structure" @default.
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- W2030731010 doi "https://doi.org/10.12693/aphyspola.126.1258" @default.
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