Electromagnetic characteristics of Hilbert curve-based metamaterials

Chen, Ruirui; Li, Sucheng; Gu, Chenyang; Anwar, Shahzad; Hou, Bo; Lai, Yun

doi:10.1007/s00339-014-8679-6

Cited by 11 publications

(3 citation statements)

References 20 publications

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“…The design of MMs draws on the concept of metasurfaces. Compared with traditional optical components, metasurfaces are two-dimensional subwavelength structures, and they show different characteristics to the incident light [17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]. Various devices have been realized by using metasurfaces, such as Hilbert space-filling curves [24], mushroom-like nanodisks [25], planar chiral structures [26], fish scale structures [28,29], and complex nanoantenna arrays [30,31,32].…”

Section: Introductionmentioning

confidence: 99%

Metadevices with Potential Practical Applications

et al. 2019

Molecules

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Metamaterials are “new materials” with different superior physical properties, which have generated great interest and become popular in scientific research. Various designs and functional devices using metamaterials have formed a new academic world. The application concept of metamaterial is based on designing diverse physical structures that can break through the limitations of traditional optical materials and composites to achieve extraordinary material functions. Therefore, metadevices have been widely studied by the academic community recently. Using the properties of metamaterials, many functional metadevices have been well investigated and further optimized. In this article, different metamaterial structures with varying functions are reviewed, and their working mechanisms and applications are summarized, which are near-field energy transfer devices, metamaterial mirrors, metamaterial biosensors, and quantum-cascade detectors. The development of metamaterials indicates that new materials will become an important breakthrough point and building blocks for new research domains, and therefore they will trigger more practical and wide applications in the future.

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Section: Introductionmentioning

confidence: 99%

Metadevices with Potential Practical Applications

et al. 2019

Molecules

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“…The Hilbert curve outside the contour is trimmed to fit the contour, and the trimmed Hilbert curve coordinates are stored. The generation strategy of the Hilbert curve is shown in Figure 3 [34]. The magnified square of each slice contour is divided into 2 × 2 square grids, and the centers of the four-square grids are connected in sequence from the south-west corner in a clockwise (denoted by S > 0) or counterclockwise (denoted by S < 0) direction, and cup-shaped first-order Hilbert curves facing south and west are generated, respectively, as shown in Figure 3a,d.…”

mentioning

confidence: 99%

Effect of an Adaptive-Density Filling Structure on the Mechanical Properties of FDM Parts with a Variable Cross-Section

Liu

Zhou

Wang³

et al. 2022

Materials

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Fused deposition modeling (FDM) technique is one of the most popular additive manufacturing techniques. Infill density is a critical factor influencing the mechanical properties of 3D-printed components using the FDM technique. For irregular components with variable cross-sections, to increase their overall mechanical properties while maintaining a lightweight, it is necessary to enhance the local infill density of the thin part while decreasing the infill density of the thick part. However, most current slicing software can only generate a uniform infill throughout one model to be printed and cannot adaptively create a filling structure with a varying infill density according to the dimensional variation of the cross-section. In the present study, to improve the mechanical properties of irregular components with variable cross-sections, an adaptive-density filling structure was proposed, in which Hilbert curve with the same order was used to fill each slice, i.e., the level of the Hilbert curves in each slice is the same, but the side length of the Hilbert curve decreases with the decreasing size of each slice; hence, the infill density of the smaller cross-section is greater than that of the larger cross-section. The ultimate bearing capacity of printed specimens with the adaptive-density filling structure was evaluated by quasi-static compression, three-point bending, and dynamic compression tests, and the printed specimens with uniform filling structure and the same overall infill density were tested for comparison. The results show that the maximum flexural load, the ultimate compression load, and the maximum impact resistance of the printed specimens with the adaptive-density filling structure were increased by 140%, 47%, and 82%, respectively, compared with their counterparts using the uniform filling structure.

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“…Fractal structures exhibit additionally no long-range spatial correlations and therefore are expected to show no spatial dispersion. Some time after the discovery of fractal structures in nature, the first multiband fractal antenna designs for the microwave region were suggested, − and recently metamaterials based on fractal geometries have been investigated even at optical frequencies. − …”

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confidence: 99%

High-Order Hilbert Curves: Fractal Structures with Isotropic, Tailorable Optical Properties

et al. 2015

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Fractals are promising candidates as nonperiodic, nonresonant structures exhibiting a homogeneous, isotropic, and frequency-independent effective optical response. We present a comprehensive optical investigation of a metallic Hilbert curve of fractal order N = 9 in the visible and nearinfrared spectral range. Our experiments show that high-order fractal nanostructures exhibit a nearly frequency independent reflectance and an inplane isotropic optical response. The response can be simulated in the framework of a simple effective medium approximation model with a limited number of parameters. It is shown that high-order Hilbert structures can be considered as a "transparent in-plane metal", the dielectric function of which is modified by the filling factor f, hence creating a tunable conductive effective metal with tailorable plasma frequency and variable reflectance without going through an insulator-to-metal transition.

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Electromagnetic characteristics of Hilbert curve-based metamaterials

Cited by 11 publications

References 20 publications

Metadevices with Potential Practical Applications

Metadevices with Potential Practical Applications

Effect of an Adaptive-Density Filling Structure on the Mechanical Properties of FDM Parts with a Variable Cross-Section

High-Order Hilbert Curves: Fractal Structures with Isotropic, Tailorable Optical Properties

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