A study of transmission on cylindrical photonic quasicrystals

Fernandes, J.A.; Anselmo, D.H.A.L.; Vasconcelos, M.S.; Mello, V.D.

doi:10.1016/j.optmat.2021.111566

Cited by 5 publications

(2 citation statements)

References 34 publications

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“…Later stable quasicrystals were found [10][11][12][13][14] and in other kinds of systems [15][16][17]. More recently, quasicrystalline colloids [18][19][20][21][22] produced by laser interference have been studied, as well as metamaterials such as photonic [23][24][25][26][27][28][29][30][31][32] and phononic crystals [29,[33][34][35][36][37][38], in addition to the fact that quasiperiodic systems have been found at the rotated interface of graphene monolayers [39,40]. These discoveries and production techniques generated an interest in the study of quasiperiodic environments, such that in 2011 the Nobel Prize in Chemistry was given to Schechtman for the discovery of quasicrystals [41].…”

Section: Introductionmentioning

confidence: 99%

Efficient algorithm for simulating particles in true quasiperiodic environments

Sosa¹,

Kraemer²

2022

J. Phys. A: Math. Theor.

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We introduce an algorithm based on generalized dual method (GDM) to efficiently study the dynamics of a particle in quasiperiodic environments without the need to use periodic approximations or to save the information of the vertices that make up the quasiperiodic lattice. We show that the computation time and the memory required to find the tile in which a particle is located as a function of the distance R to the center of symmetry remains constant in our algorithm, while using the GDM directly both quantities go like R 2. This allows us to perform realistic simulations with low consumption of computational resources. The algorithm can be used to study any quasiperiodic lattice that can be produced by the cut-and-project method. Using this algorithm, we have calculated the free path length distribution in quasiperiodic Lorentz gases reproducing previous results and for systems with high symmetries at the Boltzmann–Grad limit. We have found for the Boltzmann–Grad limit, that the distribution of free paths depends on the rank r of the quasiperiodic system and not on its symmetry. The distribution as a function of the free path length l appears to be a combination of exponential decay and a power-law behavior. The latter seems to become important only for probabilities less than ( 2 r − 2 r ( r + 1 ) ) − 1 , showing an exponential decaying free-path length distribution for r → ∞, similar to what is observed in disordered systems.

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Section: Introductionmentioning

confidence: 99%

Efficient algorithm for simulating particles in true quasiperiodic environments

Sosa¹,

Kraemer²

2022

J. Phys. A: Math. Theor.

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“…At present, in addition to ordinary 1-D planar photonic crystals (PPCs), researchers also pay much attention to the relevant properties of the 1-D cylindrical photonic crystals (CPCs). [11][12][13][14] Extensive studies on the transmission properties of the 1-D CPCs using TMM. [15][16][17][18] The importance of the 1-D CPCs is increasing with the growing use of optical fibers [19] and optoelectronic components.…”

Section: Introductionmentioning

confidence: 99%

The Absorption Properties of One‐Dimensional Spherical Photonic Crystals Based on Magnetized Ferrite Materials

et al. 2022

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Based on a spherical coordinate system and Maxwell's set of equations, the calculation formulas of one‐dimensional (1‐D) magnetized ferrite spherical photonic crystals (MFSPCs) are obtained and treated with the solution method of the spherical Bessel equations. Combined with the conventional transmission matrix method, expressions for the absorptance, reflectance, and transmittance of the 1‐D MFSPCs are given. 1‐D MFSPCs consisting of the general dielectric and Yttrium iron garnet (YIG) are also designed to verify the correctness of the conclusions. Variables such as external magnetic field, incidence angle, initial radius, and YIG thickness effects on the features of such 1‐D MFSPCs are also discussed. The transformation of the external magnetic field has a linear relationship with the position of the absorption band (AB). The three variables of incidence angle, initial radius, and YIG thickness have a substantial influence on the width and position of the AB, which can be adjusted according to the actual demand and are of high application significance. The results of this study can be helpful for the design of multifunctional absorbers and radome.

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