Fundamental Experiment and Analysis by FDTD Method on Two-Dimensional Acoustic Artificial Crystals and Acoustic Wave Guide Made of A Periodic Structure

二维声波人造晶体及周期结构声波导的时域有限差分法基础实验与分析

• 批准号: 13450148
• 负责人: MIYASHITA Toyokatsu
• 金额: $ 4.93万
• 依托单位: Ryukoku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-13450148/
• 关键词: Sonic Crystal; Sonic Crystal Wave-Guide; Sonic-Crystal Slab; Sonic-Crystal Slab Wave-Guide; FDTD Method; Full Band-Gap; Photonic Crystal; バンドギャップ; 曲がり導波路

We have developed fundamental techniques to realize sonic crystals and sonic crystal wave-guides as follows.(1) We found a complete correspondence between the Cartesian components of the particle velocity and sound pressure of two-dimensional sound waves and the electro-magnetic fields of TE and TM waves in their normalized quantities.(2) We introduced a parameter space which is common with sonic crystals and photonic crystals.(3) We constructed an accurate and reliable sonic FDTD program to analyze sound wave propagation, and also an elastic FDTD program. Perfect matched layers are introduced for sound waves. The numerical dispersion problem was theoretically and numerically examined and a practical guide-line was introduced to prevent the dispersion. Movies of the calculated sound-wave propagation are used for a better understanding and investigation of the wave propagation in the crystals.(4) We have constructed a sonic crystal of acrylic-resin cylinders in air with a lattice consta … More nt of 24.0 mm and a radius of the cylinder of 10.2 mm, and observed a full band-gap between 7.0 kHz and 9.4 kHz, which agrees well with theoretical one. Also, we have constructed a sonic crystal slab composed of an array of aluminum cylinders in a slab wave-guide in air, with a lattice constant of 12.0 mm and a scatterer's radius of 5.0 mm, and observed a full band-gap between 14.1 kHz and 18.7 kHz, which also agrees well with theoretical one.(5) Straight and bending wave guides were constructed with the sonic crystals of acrylic-resin cylinders in air, and a good confinement of the sound waves in the wave-guide was assured from the small leakage outside of the crystal. FDTD numerical calculations showed that the sound waves propagate along the straight and bending wave-guides with no practical attenuation with a wide wave-front of almost two times the wave-guide accompanying the evanescent-wave components. These phenomena are presented as MPEG movie files.(6) We have also investigated quantitatively the transient behavior of the guided sound waves in the wave-guides constructed in both sonic crystals composed of acrylic cylinders in air and of air cylinders in agar-gel. Less

我们已经开发了基本技术来实现如下所示的声音晶体和声音晶体波引导。（1）我们发现粒子速度的笛卡尔成分与二维声波的笛卡尔成分与二维声波的声音压力与TE和TM的电磁场的二维型和TM磁场的声音构造中，我们在其归一化量中引入了一个归一流的晶体晶体。一个准确可靠的声波FDTD程序，用于分析声波传播，也是一个弹性FDTD程序。引入了完美匹配的层以进行声波。数值分散问题是理论上的和数值检查的，并引入了实用的指南线以防止分散。计算出的声波传播的电影用于更好地理解和调查晶体中的波传播。（4）我们在空气中构建了一个丙烯酸 - 胶质圆柱体的声音晶体，具有晶格consta…更多的24.0 mm的nt，更高的24.0 mm和一个半径为10.2 mm，并在10.2 mm之间，并在10.2 mm之间，并在7.0 khz之间和9.0 khz和9.0 khz和9.0 khz khz和9.0 khz之间 一。另外，我们已经构建了一个声音晶体板，该平板由空气中的平板波指导中的一系列铝制圆柱体组成，晶格常数为12.0毫米，散射剂的半径为5.0 mm，并且在14.1 kHz和18.7 kHz之间观察到了完整的带隙，同时与一致的指导构建了一致的指导。从晶体外面的小泄漏中假设，空气中的丙烯酸 - 瑞星式圆柱体以及对波的声波的良好限制。 FDTD数值计算表明，声波沿着笔直和弯曲引导的传播，没有实际的衰减，而宽波则近两倍，波引物占用了均匀的波部。这些现象被称为MPEG电影文件。（6）我们还定量研究了由空气中的丙烯酸晶体和琼脂 - 琼脂 - 琼脂 - 琼脂 - 琼脂缸中的丙烯酸晶体管组成的波引导中的引导声波的瞬态行为。较少的

项目成果

T.Miyashita: "Full Band-Gaps of Sonic Crystals Made of Acrylic Cylinders in Air -Numerical and Experimental Investigations ?"Jpn. J. Appl. Phys.. 41・5(掲載予定). (2002)

T. Miyashita：“空气中丙烯酸圆柱体的声波晶体的全带隙 - 数值和实验研究？”Jpn. J. Phys.. 41・5（待出版）。

M.Saito, N.Kitamura, M.Terauchi: "Ultrasonic manipulation of locomotive microorganisms and evaluation of their activity"J.Appl.Phys.. 92. 7581-7586 (2002)

M.Saito、N.Kitamura、M.Terauchi：“运动微生物的超声波操作及其活性评估”J.Appl.Phys.. 92. 7581-7586 (2002)

M.Saito, N.Kitamura, M.Terauchi: "Ultrasonic manipulation of locomotive microorganisms and evaluation of their activity"J.Appl.Phys.. 92・12. 7581-7586 (2002)

M.Saito、N.Kitamura、M.Terauchi：“运动微生物的超声波操作及其活性评估”J.Appl.Phys.. 92・12（2002）。

Toyokatsu Miyashita: "Novel Properties of Wave Propagations in Sonic-Crystal Wave-Guides Made of Air Cylinders in Agar-Gel"2002 IEEE Ultrasonics Symposium. P3G-6. 405-405 (2002)

Toyokatsu Miyashita：“由琼脂凝胶中的气缸制成的声波晶体波导中波传播的新特性”2002 年 IEEE 超声波研讨会。

Toyokatsu Miyashita: "Full Band-Gaps of Sonic Crystals Made of Acrylic Cylinders in Air-Numerical and Experimental Investigations"Jpn. J. Appl. Phys.. Vol. 41. 3170-3175 (2002)

Toyokatsu Miyashita：“空气数值和实验研究中由丙烯酸圆柱体制成的声波晶体的全带隙”Jpn。