User:Phyhoubo/Sandbox
Applications[edit]
The planar H tree can be generalized to the three-dimensional structure via adding line segments on the direction perpendicular to the H tree plane.[1] The resultant three-dimensional H tree has Hausdorff dimension equal to 3. The planar H tree and its three-dimensional version have been found to constitute artificial electromagnetic atoms in photonic crystals and metamaterials and might have potential applications in microwave engineering.[1]
| Hausdorff dimension (exact value) |
Hausdorff dimension (approx.) |
Name | Illustration | Remarks |
|---|---|---|---|---|
| 3 | 3D H-fractal |  |
A H-fractal extended to 3 dimensions.[2] |
Notes[edit]
- ^ a b Hou (2008); Wen (2002).
- ^ B. Hou, H. Xie, W. Wen, and P. Sheng (2008). ""Three-dimensional metallic fractals and their photonic crystal characteristics"" (Document). Phys. Rev. B 77, 125113.
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References[edit]
- B. Hou, H. Xie, W. Wen, and P. Sheng (2008). ""Three-dimensional metallic fractals and their photonic crystal characteristics"" (Document). Phys. Rev. B 77, 125113.
{{cite document}}: Italic or bold markup not allowed in:|publisher=(help); Unknown parameter|url=ignored (help)CS1 maint: multiple names: authors list (link) - W. Wen, L. Zhou, J. Li, W. Ge, C. T. Chan, and P. Sheng (2002). ""Subwavelength Photonic Band Gaps from Planar Fractals"" (Document). Phys. Rev. Lett. 89, 223901.
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