非高斯關(guān)聯(lián)部分相干光束的傳輸與光學(xué)捕獲研究
發(fā)布時(shí)間：2018-08-26 15:17
【摘要】：在對(duì)傳統(tǒng)的部分相干光束研究的基礎(chǔ)上,最近,一些新型的部分相干光束-非高斯(特殊)關(guān)聯(lián)的部分相干光束相繼被提出。非高斯關(guān)聯(lián)引發(fā)了許多奇異的光學(xué)特性：自聚焦、自偏移、自整形、自分裂等。通常,新的光束在標(biāo)量理論框架下提出,這會(huì)忽略光束的偏振信息。2003年Wolf教授在提出的相干偏振統(tǒng)一理論中指出：光的相干和偏振特性是緊密聯(lián)系的,要充分認(rèn)識(shí)漲落電磁光場(chǎng)的許多特性,須將研究從標(biāo)量場(chǎng)拓展到矢量場(chǎng)。特殊關(guān)聯(lián)部分相干光束的奇異特性決定了它們?cè)诩す馓綔y(cè)、激光核聚變、光束整形、大氣光通信等領(lǐng)域有潛在的實(shí)際應(yīng)用。除此之外,一個(gè)最重要的應(yīng)用是微粒操控。利用光壓來操控微粒的技術(shù)稱為光鑷。不同的光鑷形式可用來捕獲粒子、旋轉(zhuǎn)粒子、輸運(yùn)粒子或牽引粒子以及提升粒子。另外,光鑷對(duì)微粒亞接觸性和無損害性的操控使其成為研究生物活體細(xì)胞、中性原子和分子、量子點(diǎn)以及不同類型的電介質(zhì)粒子的有力工具。另外一方面,近年來,新型的Airy光束因具有無衍射、自彎曲以及自愈等奇異特性引起了研究者們的極大興趣。在此背景下,本論文重點(diǎn)研究矢量理論框架下兩種非高斯關(guān)聯(lián)部分相干光束分別通過光學(xué)系統(tǒng)和擾動(dòng)大氣傳輸?shù)墓鈱W(xué)統(tǒng)計(jì)特性。然后基于標(biāo)量理論和瑞利近似理論研究?jī)煞N特殊關(guān)聯(lián)部分相干光束對(duì)瑞利粒子的光學(xué)捕獲特性。最后,我們研究了Airy渦旋光束在特殊材料中的傳輸特性。主要章節(jié)安排如下：第一章是本論文的緒論部分,首先從五個(gè)方面介紹本論文的研究背景,分別為：傳統(tǒng)部分相干光束；特殊關(guān)聯(lián)部分相干光束；部分相干電磁光束；光學(xué)捕獲的提出和發(fā)展；Airy光束的起源和發(fā)展。然后介紹了本論文所涉及的研究方法和理論基礎(chǔ),包含三個(gè)部分：矩陣光學(xué)理論和衍射積分理論；部分相干偏振統(tǒng)一理論;瑞利近似理論下光輻射力的計(jì)算方法。第二章首先將方形高斯謝爾模光束(RGSM)拓展到矢量領(lǐng)域,推導(dǎo)出電磁RGSM光束通過ABCD光學(xué)系統(tǒng)傳輸,在輸出平面內(nèi)的交叉譜密度矩陣元的解析式。通過該表達(dá)式數(shù)值模擬RGSM光束通過分?jǐn)?shù)傅里葉變換系統(tǒng)的軸向和橫向光譜密度,光譜相干度和光譜偏振度的分布。具體分析在不同的分?jǐn)?shù)傅里葉變換平面上RGSM光束的譜密度,相干度和偏振度的演化規(guī)律,以及在傳統(tǒng)的傅里葉平面上,光束求和因子對(duì)這些統(tǒng)計(jì)特性的影響。其次,將隨機(jī)標(biāo)量環(huán)形光學(xué)框架光源推廣到電磁領(lǐng)域。獲得嵌套的電磁環(huán)形光學(xué)框架光束通過擾動(dòng)大氣的傳輸方程。以單個(gè)和兩個(gè)嵌套的光學(xué)框架為例,比較研究它們?cè)谡婵罩泻头荎olmogorov擾動(dòng)大氣模型中傳輸?shù)慕y(tǒng)計(jì)特性。討論大氣擾動(dòng)參數(shù)和光源參數(shù)對(duì)光譜密度,光譜偏振度和光譜相干度的影響。第三章首先研究多高斯謝爾模光束(MGSM)通過聚焦系統(tǒng)后在焦平面上對(duì)瑞利粒子的捕獲情況。推導(dǎo)出MGSM光束通過會(huì)聚光學(xué)系統(tǒng)后在焦平面上的光強(qiáng)和輻射力的解析表達(dá)式,以及在真實(shí)的焦平面上最大輻射力的表達(dá)式。分析MGSM光源相干長度和求和因子對(duì)其捕獲范圍和穩(wěn)定性的影響。討論了穩(wěn)定捕獲的條件,確定了穩(wěn)定捕獲時(shí)光源相干長度的最小值和穩(wěn)定捕獲高折射率粒子的半徑范圍。其次,研究了廣義的多高斯謝爾模光束(GMGSM)通過會(huì)聚系統(tǒng)后對(duì)兩種類型的瑞利粒子的捕獲情況。分析在焦點(diǎn)處和焦平面上距焦點(diǎn)不同位置處捕獲高折射率和低折射率的瑞利粒子的情況,以及光束相干長度和光束求和因子對(duì)捕獲范圍和捕獲穩(wěn)定性影響。討論穩(wěn)定捕獲的條件,確定可捕獲的兩種類型的粒子的半徑范圍。第四章推導(dǎo)了Airy渦旋光束通過ABCD光學(xué)系統(tǒng)的傳輸解析式。運(yùn)用該解析數(shù)值模擬算Airy渦旋光束在手性材料中的光強(qiáng)的變化。分析渦旋在傳輸過程中對(duì)左旋圓偏振Airy渦旋光束和右旋圓偏振Airy渦旋光束的強(qiáng)度和相位的影響,并將Airy渦旋光束和Airy光束在真空中和手性材料中的傳輸特性進(jìn)行比較。討論不同的手性參數(shù)下,左旋圓偏振Airy渦旋光束和右旋圓偏振Airy渦旋光束在近場(chǎng)和遠(yuǎn)場(chǎng)的強(qiáng)度分布。第五章總結(jié)本論文的主要工作以及創(chuàng)新點(diǎn),并提出對(duì)未來工作的展望。
[Abstract]:On the basis of the study of the traditional partially coherent beams, some new partially coherent beams-non-Gaussian (special) correlated partially coherent beams have been proposed recently. The non-Gaussian correlations give rise to many strange optical properties: self-focusing, self-migration, self-shaping, self-splitting and so on. In 2003, Professor Wolf pointed out that the coherence and polarization characteristics of light are closely related. To fully understand many properties of fluctuating electromagnetic fields, it is necessary to extend the study from scalar field to vector field. In addition, one of the most important applications is particle manipulation. The use of light pressure to manipulate particles is called optical tweezers. Different forms of optical tweezers can be used to capture particles, rotate particles, transport or pull particles, and lift particles. In addition, the Sub-contact and non-destructive manipulation of micro-particles by optical tweezers makes them a powerful tool for studying living cells, neutral atoms and molecules, quantum dots and different types of dielectric particles. On the other hand, in recent years, new types of Ary beams have attracted researchers due to their non-diffraction, self-bending and self-healing properties. In this context, we focus on the optical statistical properties of two non-Gaussian correlated partially coherent beams propagating through optical systems and perturbed atmosphere, respectively, in the framework of vector theory. Finally, we study the propagation characteristics of Airy vortex beams in special materials. The main chapters are arranged as follows: Chapter 1 is the introduction of this paper. Firstly, we introduce the research background of this paper from five aspects: traditional partially coherent beams; partially coherent beams; partially coherent electromagnetic beams; and partially coherent electromagnetic beams. The origin and development of Acquisition; the origin and development of Airy beams. Then the research methods and theoretical basis involved in this paper are introduced, including three parts: the theory of matrix optics and diffraction integral; the theory of partial coherent polarization unification; the calculation method of light radiation force under Rayleigh approximation theory. The analytical expression of the cross spectral density matrix element for electromagnetic RGSM beams propagating through an ABCD optical system in the output plane is derived. The axial and transverse spectral density, spectral coherence and spectral polarization of RGSM beams propagating through a fractional Fourier transform system are numerically simulated. The evolution of spectral density, coherence and polarization of RGSM beams in different fractional Fourier transform planes and the influence of beam summation factor on these statistical characteristics in the traditional Fourier plane are analyzed in detail. Secondly, the random scalar ring optical frame source is extended to the electromagnetic field and the nested electromagnetic ring light is obtained. The propagation equations of the optical frame beams passing through the disturbed atmosphere are studied. The statistical properties of the propagation of the optical frames in vacuum and in non-Kolmogorov disturbed atmosphere are compared with each other. The effects of the atmospheric disturbance parameters and the light source parameters on the spectral density, spectral polarization and spectral coherence are discussed. The capture of Rayleigh particles on the focal plane of a multi-Gaussian Schell-mode beam (MGSM) passing through a focusing system is studied. The analytical expressions of the intensity and radiation force of the MGSM beam passing through a focusing optical system on the focal plane are derived, and the expressions of the maximum radiation force on the real focal plane are derived. The influence of factors on the capture range and stability is discussed. The conditions of stable capture are discussed. The minimum coherence length of the source and the radius range of stable capture of high refractive index particles are determined. Secondly, the capture of two types of Rayleigh particles by generalized multi-Gaussian Schell mode beams (GMGSM) passing through a convergent system is studied. The capture of Rayleigh particles with high refractive index and low refractive index at different positions from the focal point and focal plane is analyzed. The effects of the beam coherence length and the beam summation factor on the capture range and stability are discussed. The conditions for stable capture are discussed and the radius ranges of the two types of particles are determined. The analytical formulas for the propagation of airy vortex beams through ABCD optical system are derived. The intensity variation of airy vortex beams in chiral materials is calculated by using the analytical numerical simulation. The effects of vortex on the intensity and phase of left-handed circularly polarized airy vortex beams and right-handed circularly polarized airy vortex beams are analyzed. The intensity distributions of left-handed circularly polarized Airy vortex beams and right-handed circularly polarized Airy vortex beams in near and far fields under different chiral parameters are discussed.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2016
【分類號(hào)】：O435
本文編號(hào)：2205283
[Abstract]:On the basis of the study of the traditional partially coherent beams, some new partially coherent beams-non-Gaussian (special) correlated partially coherent beams have been proposed recently. The non-Gaussian correlations give rise to many strange optical properties: self-focusing, self-migration, self-shaping, self-splitting and so on. In 2003, Professor Wolf pointed out that the coherence and polarization characteristics of light are closely related. To fully understand many properties of fluctuating electromagnetic fields, it is necessary to extend the study from scalar field to vector field. In addition, one of the most important applications is particle manipulation. The use of light pressure to manipulate particles is called optical tweezers. Different forms of optical tweezers can be used to capture particles, rotate particles, transport or pull particles, and lift particles. In addition, the Sub-contact and non-destructive manipulation of micro-particles by optical tweezers makes them a powerful tool for studying living cells, neutral atoms and molecules, quantum dots and different types of dielectric particles. On the other hand, in recent years, new types of Ary beams have attracted researchers due to their non-diffraction, self-bending and self-healing properties. In this context, we focus on the optical statistical properties of two non-Gaussian correlated partially coherent beams propagating through optical systems and perturbed atmosphere, respectively, in the framework of vector theory. Finally, we study the propagation characteristics of Airy vortex beams in special materials. The main chapters are arranged as follows: Chapter 1 is the introduction of this paper. Firstly, we introduce the research background of this paper from five aspects: traditional partially coherent beams; partially coherent beams; partially coherent electromagnetic beams; and partially coherent electromagnetic beams. The origin and development of Acquisition; the origin and development of Airy beams. Then the research methods and theoretical basis involved in this paper are introduced, including three parts: the theory of matrix optics and diffraction integral; the theory of partial coherent polarization unification; the calculation method of light radiation force under Rayleigh approximation theory. The analytical expression of the cross spectral density matrix element for electromagnetic RGSM beams propagating through an ABCD optical system in the output plane is derived. The axial and transverse spectral density, spectral coherence and spectral polarization of RGSM beams propagating through a fractional Fourier transform system are numerically simulated. The evolution of spectral density, coherence and polarization of RGSM beams in different fractional Fourier transform planes and the influence of beam summation factor on these statistical characteristics in the traditional Fourier plane are analyzed in detail. Secondly, the random scalar ring optical frame source is extended to the electromagnetic field and the nested electromagnetic ring light is obtained. The propagation equations of the optical frame beams passing through the disturbed atmosphere are studied. The statistical properties of the propagation of the optical frames in vacuum and in non-Kolmogorov disturbed atmosphere are compared with each other. The effects of the atmospheric disturbance parameters and the light source parameters on the spectral density, spectral polarization and spectral coherence are discussed. The capture of Rayleigh particles on the focal plane of a multi-Gaussian Schell-mode beam (MGSM) passing through a focusing system is studied. The analytical expressions of the intensity and radiation force of the MGSM beam passing through a focusing optical system on the focal plane are derived, and the expressions of the maximum radiation force on the real focal plane are derived. The influence of factors on the capture range and stability is discussed. The conditions of stable capture are discussed. The minimum coherence length of the source and the radius range of stable capture of high refractive index particles are determined. Secondly, the capture of two types of Rayleigh particles by generalized multi-Gaussian Schell mode beams (GMGSM) passing through a convergent system is studied. The capture of Rayleigh particles with high refractive index and low refractive index at different positions from the focal point and focal plane is analyzed. The effects of the beam coherence length and the beam summation factor on the capture range and stability are discussed. The conditions for stable capture are discussed and the radius ranges of the two types of particles are determined. The analytical formulas for the propagation of airy vortex beams through ABCD optical system are derived. The intensity variation of airy vortex beams in chiral materials is calculated by using the analytical numerical simulation. The effects of vortex on the intensity and phase of left-handed circularly polarized airy vortex beams and right-handed circularly polarized airy vortex beams are analyzed. The intensity distributions of left-handed circularly polarized Airy vortex beams and right-handed circularly polarized Airy vortex beams in near and far fields under different chiral parameters are discussed.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2016
【分類號(hào)】：O435
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