Strong localization of microwave in photonic fractals with Menger-sponge structure
Strong localization of microwave in photonic fractals with Menger-sponge structure
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DOI：
10.1016/j.jeurceramsoc.2005.09.014
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发表时间：
2006
影响因子：
5.7
通讯作者：
S. Kirihara;M. Takeda;K. Sakoda;K. Honda;Y. Miyamoto
中科院分区：
文献类型：
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作者：
S. Kirihara;M. Takeda;K. Sakoda;K. Honda;Y. Miyamoto
具有自相似结构的电介质光子分形能使电磁波能量在三维分形结构中强烈局域化。我们利用光固化快速成型技术制作了环氧树脂的门格尔海绵分形结构。将二氧化钛-二氧化硅颗粒分散到环氧树脂中以增加介电常数并降低介电损耗。样品具有边长为1、3、9和27 mm的方孔，穿过81 mm的立方体。四种类型的门格尔海绵样品的分形阶段1-4进行了微波响应的测量。在9.5GHz、10.5GHz、12.0GHz和13.5GHz的频率下，反射和透射振幅分别被衰减。通过插入单极天线探头测量空气孔中的电磁场幅度，证实了电磁波在中心空气腔中的强定位。局域模式频率可以使用样品尺寸、级数和有效介电常数来计算。定位效率随着分形级数的增加而增加。
Photonic fractal with self-similar structure of dielectric medium can strongly localize the electromagnetic wave energy in the three-dimensional fractal structure. We have fabricated Menger-sponge fractal structures of epoxy by using stereolithography. Titania–silica particles were dispersed into the epoxy to increase the dielectric constant and decrease the dielectric loss. The samples have square holes of 1, 3, 9 and 27mm in edge length through the cubic body of 81mm. Four types of Menger-sponge samples with fractal stages 1–4 were subjected for measurement of microwave responses. The both reflection and transmission amplitudes were attenuated simultaneously at frequencies of 9.5, 10.5, 12.0 and 13.5GHz for each sample with fractal stages 1, 2, 3 and 4, respectively. The electromagnetic field amplitudes in the air holes measured by inserting a mono-pole antenna probe confirmed the strong localization of the electromagnetic wave in the central air cavity. The localized mode frequency can be calculated using the sample size, number of stage, and the effective dielectric constant. The localization efficiency increased according to the fractal stage number.