周期结构波导中的三模共振
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- 英文论文题名：Three-mode resonances in the waveguides with periodic structures
- 论文作者：徐兰兰 ; 桑汤庆 ; 张鹭 ; 樊亚仙 ; 陶智勇
- 英文论文作者：XU Lan-lan ; SANG Tang-qing ; ZHANG Lu ; FAN Ya-xian ; TAO Zhi-yong ; Key Lab of In-fiber Integrated Optics ; Ministry of Education of China ; Harbin Engineering University
- 年：2016
- 作者机构：哈尔滨工程大学理学院;
- 论文关键词：周期结构 ; 共振 ; 波导 ; 模式
- 英文论文关键词：periodic structure ; resonance ; waveguide ; mode
- 会议召开时间：2016-08-21
- 会议录名称：2016’中国西部声学学术交流会论文集
- 语种：中文
- 分类号：O422
- 学会代码：SXJS
- 会议名称：2016’中国西部声学学术交流会
- 会议地点：中国四川成都
- 主办单位：中国声学学会微声学分会、中国声学学会物理声学分会、陕西省声学学会、浙江省声学学会、山东省声学学会、上海市声学学会、黑龙江省声学学会、水声技术重点实验室、重庆市声学学会、西安市声学学会、四川省声学学会
- 学会名称：《声学技术》编辑部
- 页数：3
- 文件大小：1218k
- 原文格式：D
- 会议级别：全国
摘要
本文以周期变截面声波导中的模式共振理论为基础,通过对波导结构参数的设计,实现了三个径向模式间的共振相互作用。我们对周期结构声波导中三个径向模式间的共振问题进行了研究,发现三个径向模式共振波导与传统的两模共振(即Bragg共振和非Bragg共振)波导的谱带特性截然不同:当Bragg或非Bragg共振发生时,两模共振往往能够形成一个完整的禁带;而三模共振波导中高阶模的出现破坏了低阶模的禁带,在共振频率处出现了一个带宽很窄的通带。模式分析结果表明这个通带所包含的径向模式成分单一,几乎全部是一阶模。基于三模共振的周期结构波导,改变了以往波导中低阶模无法调控的窘境,有效地抑制了基模的传输,可以为单模发生器、滤波器等波导器件的研制提供重要方案。
Based on the mode resonance theory in the acoustic waveguides with periodically corrugated walls, the threemode-resonance is realized by carefully selecting the geometry parameters of the waveguide. We have found that in the acoustic waveguide with periodic structures, the three-mode-resonance is quite different from the traditional two-moderesonance(i.e. Bragg resonance or non-Bragg resonance). When Bragg or non-Bragg resonance occurs, two resonant modes are often interact each other and able to form a complete band gap. In the three-mode-resonance waveguide, the high-order mode appears to penetrate through the band gap of low order modes and create a very narrow passband in the lower mode gap. The model analysis results show that the radial mode contained in the passband is a single first mode. The three-mode- resonance waveguide overcomes the difficulties in the low order mode control in the waveguides and has effectively suppressed the propagation of the fundamental mode. The investigation in the multimode interactions in the periodic waveguides can benefit the development of single-mode generator, filters and other waveguide devices.
Based on the mode resonance theory in the acoustic waveguides with periodically corrugated walls, the threemode-resonance is realized by carefully selecting the geometry parameters of the waveguide. We have found that in the acoustic waveguide with periodic structures, the three-mode-resonance is quite different from the traditional two-moderesonance(i.e. Bragg resonance or non-Bragg resonance). When Bragg or non-Bragg resonance occurs, two resonant modes are often interact each other and able to form a complete band gap. In the three-mode-resonance waveguide, the high-order mode appears to penetrate through the band gap of low order modes and create a very narrow passband in the lower mode gap. The model analysis results show that the radial mode contained in the passband is a single first mode. The three-mode- resonance waveguide overcomes the difficulties in the low order mode control in the waveguides and has effectively suppressed the propagation of the fundamental mode. The investigation in the multimode interactions in the periodic waveguides can benefit the development of single-mode generator, filters and other waveguide devices.
引文
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[2]Brillouin L.Wave Propagation in Periodic Structures,2nd edition.New York:Dover Publications,1953.
[3]曹永军,杨旭.广义Fibonacci准周期结构声子晶体透射性质的研究[J].物理学报,2008;57(6):3620-3624.
[4]周俊,饶柱石,塔娜.周期结构带隙的能效观点[J].噪声与振动控制,2016;36(2):40-45.
[5]曹永军,董纯红,周培勤.一维准周期结构声子晶体透射性质的研究[J].物理学报,2006;55(12):6470-6475.
[6]杨正辉,王连堂,孟文辉.求解周期结构中声波传播问题的一种边界元法[J].数值计算与计算机应用,2013;34(2):95-104.
[7]Tao Z.Y.He W.Y.Wang X.L.Resonance-induced band gaps in a periodic waveguide[J],J.Sound Vib.,2008;313(3-5):830-840.
[8]王林,陶智勇.复合周期结构波导中的宽禁带[C].声学技术,2011;30(6):35-36.
[9]陶智勇,王新龙.周期波导中的非布拉格反射现象[C].声学技术,2008;27(5):29-30.
[2]Brillouin L.Wave Propagation in Periodic Structures,2nd edition.New York:Dover Publications,1953.
[3]曹永军,杨旭.广义Fibonacci准周期结构声子晶体透射性质的研究[J].物理学报,2008;57(6):3620-3624.
[4]周俊,饶柱石,塔娜.周期结构带隙的能效观点[J].噪声与振动控制,2016;36(2):40-45.
[5]曹永军,董纯红,周培勤.一维准周期结构声子晶体透射性质的研究[J].物理学报,2006;55(12):6470-6475.
[6]杨正辉,王连堂,孟文辉.求解周期结构中声波传播问题的一种边界元法[J].数值计算与计算机应用,2013;34(2):95-104.
[7]Tao Z.Y.He W.Y.Wang X.L.Resonance-induced band gaps in a periodic waveguide[J],J.Sound Vib.,2008;313(3-5):830-840.
[8]王林,陶智勇.复合周期结构波导中的宽禁带[C].声学技术,2011;30(6):35-36.
[9]陶智勇,王新龙.周期波导中的非布拉格反射现象[C].声学技术,2008;27(5):29-30.