本文關(guān)鍵詞：聲光子晶體結(jié)構(gòu)中的波傳播及聲光耦合作用研究　出處：《北京交通大學(xué)》2017年博士論文　論文類型：學(xué)位論文

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【摘要】：聲光子晶體是一種同時(shí)具有光子和聲子帶隙的周期性結(jié)構(gòu)。聲光子晶體為同時(shí)控制光波和聲波的傳播提供了一個(gè)系統(tǒng)的平臺(tái),并在光學(xué)、聲學(xué)及聲光多功能器件、腔光力學(xué)等領(lǐng)域展現(xiàn)了十分廣闊的應(yīng)用前景。本文利用有限元方法,針對(duì)聲光子晶體雙重帶隙的調(diào)控、體模式和邊界模式的光波和聲波傳播特性、諧振腔結(jié)構(gòu)中的聲光耦合效應(yīng)以及器件設(shè)計(jì)等若干問題進(jìn)行了研究。主要內(nèi)容和結(jié)果包括:1.提出了一類具有紋理拓?fù)湫问降亩S聲光子晶體結(jié)構(gòu),該類結(jié)構(gòu)可以同時(shí)產(chǎn)生光子和聲子體波帶隙;分析了二維體系下光和聲的體波及表面波模式的波動(dòng)特性;設(shè)計(jì)了表面模式諧振腔和含空氣狹縫的諧振腔,并分析了上述結(jié)構(gòu)中的聲光耦合效應(yīng)。結(jié)果表明:正方晶格和蜂窩晶格有利于同時(shí)產(chǎn)生較寬的光子和聲子體波帶隙;針對(duì)不同的表面結(jié)構(gòu)形式,聲表面波可表現(xiàn)為耦合共振模式或局域共振模式;通過改變表面結(jié)構(gòu)可以有效地調(diào)控光和聲的表面波模式,且容易同時(shí)獲得光和聲的表面波模式(或帶隙);若聲學(xué)諧振腔模式具有偶對(duì)稱性,且光學(xué)和聲學(xué)諧振腔模式波場(chǎng)的重合程度高,則聲光相互作用增強(qiáng);含空氣狹縫的諧振腔由于光場(chǎng)和聲場(chǎng)間的重合程度較高,比表面模式諧振腔表現(xiàn)出更強(qiáng)的聲光耦合作用。2.在具有紋理拓?fù)湫问降亩S聲光子晶體基礎(chǔ)上,提出了同時(shí)具有光子和聲子帶隙的聲光子晶體板結(jié)構(gòu);分析了光和聲的板波及側(cè)表面波模式的波動(dòng)特性;設(shè)計(jì)了含空氣狹縫的聲光子晶體板諧振腔,并分析了諧振腔中的聲光耦合效應(yīng)。結(jié)果表明·這類聲光子晶體板可以在較廣的幾何參數(shù)范圍內(nèi)同時(shí)產(chǎn)生較寬的光子偶模(或奇模)帶隙和聲子帶隙;通過改變側(cè)表面結(jié)構(gòu)可以有效地調(diào)控光和聲的側(cè)表面波模式,且容易同時(shí)獲得光和聲的側(cè)表面波模式或帶隙;含空氣狹縫的諧振腔,由于其光場(chǎng)和聲場(chǎng)高度重合,因此表現(xiàn)出很強(qiáng)的聲光耦合作用,且移動(dòng)界面效應(yīng)在其中占主導(dǎo)地位。3.提出了兩類具有紋理拓?fù)湫问降娜S聲光子晶體結(jié)構(gòu),這兩類結(jié)構(gòu)均可以同時(shí)產(chǎn)生光子和聲子帶隙,其中第一類模型散射體位于晶格格點(diǎn)并由細(xì)圓柱相連接,第二類模型為在硅基體中挖球形孔而形成的開孔式周期結(jié)構(gòu);分析了該體系中光和聲的體波、表面波和棱波模式的波動(dòng)特性;討論了缺陷的幾何參數(shù)對(duì)點(diǎn)缺陷和線缺陷的影響。結(jié)果表明:第一類模型利于同時(shí)產(chǎn)生較寬的光子和聲子體波帶隙,但第二類模型利于在實(shí)驗(yàn)室加工制備;通過改變表面結(jié)構(gòu)可以有效地調(diào)控光和聲的表面波模式,其中同時(shí)獲得光和聲的表面波模式相對(duì)容易,而同時(shí)獲得光和聲的表面波帶隙則相對(duì)困難;通過改變棱邊結(jié)構(gòu)可以有效地調(diào)控光和聲的棱波模式,由于獲得光棱波模式相對(duì)困難,為了同時(shí)獲得光和聲的棱波模式在結(jié)構(gòu)設(shè)計(jì)中應(yīng)以獲得光棱波模式為前提,并在此基礎(chǔ)上調(diào)節(jié)棱邊結(jié)構(gòu);在聲光子晶體的缺陷態(tài)下光場(chǎng)和聲場(chǎng)均呈現(xiàn)高度局域化,且通過改變?nèi)毕莸膸缀螀?shù)可以有效地調(diào)控缺陷態(tài)。4.設(shè)計(jì)了基于表面波模式的聲光子晶體液體傳感器及聲光子晶體單向傳輸結(jié)構(gòu)。結(jié)果表明:聲光子晶體傳感器可以同時(shí)檢測(cè)液體的光學(xué)折射率和聲速,且具有較高的靈敏度,與傳統(tǒng)純光子或聲子晶體傳感器相比其優(yōu)勢(shì)在于多物理參數(shù)的同時(shí)檢測(cè);與體波器件相比表面波器件中的表面波更容易激勵(lì)和接收。對(duì)于單向傳輸結(jié)構(gòu),在格柵衍射和方向帶隙共同作用下,方向帶隙頻率范圍內(nèi)光波和聲波均出現(xiàn)了單向傳輸效應(yīng);在極化模式轉(zhuǎn)換和模式帶隙共同作用下,模式帶隙頻率范圍內(nèi)的聲波會(huì)出現(xiàn)單向傳輸效應(yīng)�？傊�,本文的研究結(jié)果表明,無論是二維還是三維體系下,為了同時(shí)獲得較寬的光子和聲子帶隙,可以令聲光子晶體具有如下的結(jié)構(gòu)拓?fù)湫问?電介質(zhì)柱或球位于晶格節(jié)點(diǎn)且由較細(xì)的電介質(zhì)體相連接。體波帶隙是產(chǎn)生表面波模式及帶隙的前提,而表面波帶隙是產(chǎn)生棱波模式的前提,因此獲得較寬的體波帶隙對(duì)于邊界模式的調(diào)控和應(yīng)用至關(guān)重要。
[Abstract]:The sound of photonic crystal is a periodic structure with photonic and phononic band gaps. The system provides a platform for communication and control the sound of photonic crystal light waves and sound waves, and in optical, acoustic and acousto-optic multifunctional devices, optical mechanical fields show a very broad application prospect. This paper Co. finite element method, the regulation for the acoustic dual band gap photonic crystal, model and boundary model of wave and acoustic wave propagation characteristics, some problems of the coupling effect of acoustooptic cavity structure and device design are studied. The main contents and results include: 1. propose a texture with the topology of two-dimensional acoustic photonic crystal the structure, the structure can simultaneously produce photon and phonon bulk band gap; analysis of the fluctuation characteristics of light and sound wave surface wave mode two-dimensional system; design of surface mode resonator and containing The air slit cavity, and analyzes the structure of the acousto-optic coupling effect. The results showed that: Affirmative lattice and honeycomb lattice is conducive to simultaneously produce wide photonic and phononic band gaps for the body; the surface structure of different forms and manifestations of acoustic surface wave coupling resonance mode or local resonance mode by changing the surface structure; can effectively control the surface wave mode of light and sound, and also easy to obtain the surface wave mode of light and sound (or band gap); if the acoustic resonator mode has dual symmetry, and the optical and acoustic resonator mode wave field coincides with the high degree of enhancement of acousto-optic interaction; containing air slit cavity due to light field and the field between the coincidence degree is higher, than the surface mode resonant cavity showed stronger acousto-optic coupling.2. in two-dimensional photonic crystal with sound based on the topology of the texture, put forward at the same time A photonic crystal slab photonic and phononic band gap; analyzed the fluctuation characteristics of light and sound wave plate side surface wave mode; the sound design of photonic crystal slab cavity with air slits, and analyzed the coupling effect of acoustooptic resonant cavity. The results show that, this kind of sound photonic crystal plates can be produced at the same time photon even mode wide geometrical parameters in a wide range (or odd) band gap and phonon band gap; by changing the side surface structure can effectively control the side surface modes of light and sound, and also easy to get light and sound wave mode or side band gap; cavity with air slits, because the light field and sound field of a high degree of overlap, thus showing acousto-optic coupling is very strong, and the mobile interface effect in which the dominant.3. proposed two kinds of texture topological form of 3-D photonic crystal structure, these two kinds of structure can be At the same time to produce photonic and phononic band gap, in which the first position in lattice scattering model and connected by thin cylinder, hole type periodic structure of the second kind of model is digging spherical pores in the silicon substrate and the formation; analysis of body waves of light and sound in the system, the fluctuation characteristics of surface wave and edge wave mode the effect of geometrical parameters; defect of point and line defects are discussed. The results show that the first model can also generate wider photonic band gap and phonon body, but the second model in the laboratory for preparation and processing; by changing the surface structure can effectively control the surface wave mode of light and sound, which at the same time to obtain the surface wave mode of light and sound is relatively easy, while the surface wave band gap of light and sound is relatively difficult; by changing the edge structure can effectively control the light and sound of the edge wave mode, due to the prism wave mode The type is relatively difficult, in order to obtain both the light and sound edge wave mode in the structure design should be to obtain light edge wave mode as the premise, and on the basis of adjusting the edge structure; in the defect states of photonic crystal optical sound field and sound field are highly localized, and by changing the geometric parameters of the defects can be effectively controlled.4. designed the defect states of photonic crystal liquid acoustic sensor and acoustic surface wave mode photonic crystal unidirectional transmission structure based on photonic crystals. The results show that the acoustic sensor can detect the optical refractive index and velocity of the liquid, and has high detection sensitivity, compared with the traditional pure photon or phonon crystal sensor has the advantages of multiple physical parameters at the same time compared with the body surface wave device; in SAW devices more easily. For excitation and reception of unidirectional transmission structure, in the direction of the band gap and the diffraction grating together with The direction of the band gap, the frequency range of light waves and sound waves appeared in the unidirectional transmission effect; polarization mode conversion mode and bandgap together, with acoustic frequency range of the gap will appear one-way transmission effect. In short, the results of this study show that both the two-dimensional three-dimensional system is also at the same time, in order to get more the width of the photonic and phononic band gap, can make the sound of photonic crystal structure with topological form as follows: dielectric column or ball in lattice nodes and is connected by a dielectric body thin body. The band gap is the surface wave mode and premise of band gap, and the surface wave band gap is a precondition to edge wave mode, thus obtained bulk band gap is wide in the regulation and application of boundary model is very important.

【學(xué)位授予單位】：北京交通大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2017
【分類號(hào)】：O734

【引證文獻(xiàn)】

相關(guān)博士學(xué)位論文 前1條

1 董浩文;聲/光超構(gòu)材料的拓?fù)鋬?yōu)化設(shè)計(jì)[D];北京交通大學(xué);2017年

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本文編號(hào)：1361269