Inhomogeneous two-dimensional photonic media: A statistical study |
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Authors: | M Bellingeri E Tenca F Scotognella |
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Institution: | 1. Department of Computer Science and Engineering, Koneru Lakshmaiah Education Foundation(KLEF), KL University, Vaddeswaram, Andhra Pradesh, India;2. Department of Computer Science and Engineering, V.R. Siddhartha Engineering College, Vijayawada, Andhra Pradesh, India;3. Department of Computer Science and Engineering, Lakireddy Bali Reddy College of Engineering, Krishna District, Mylavaram, Andhra Pradesh, India;4. Senior faculty, CSE, Rathinam College of Arts and Science Coimbatore, India;1. School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan 411105, China;2. Laboratory of Information Optics and Optoelectronic Technology, Shanghai Institute of Optics and Fine Mechanics, Shanghai, 201800, China;3. Key Laboratory of Fundamental Synthetic Vision Graphics and Image for National Defense, Sichuan University, Chengdu, 610064, China |
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Abstract: | Photonic media, in which disorder is introduced, are interesting materials for light management. In this paper, we have performed a statistical study of the average light transmission, over the range of wavelengths 450–1400 nm, for two-dimensional photonic structures with different homogeneity (quantified by the Shannon index). The photonic structure is a square lattice of circular pillars and the homogeneity is varied by clustering pillars in the crystal unit cells. We have calculated the light transmission for 50 different crystal realizations (permutating cluster position in the crystal) for each Shannon index value. Such Monte Carlo Markov Chain method produced the “a posteriori” distribution of the light transmission. We have observed a linear trend of the average transmission as a function of the crystal homogeneity. Furthermore, we have found a linear dependence of the average light transmission on the mean distance between pillars in the photonic structures. |
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