非高斯关联部分相干光束的传输与光学捕获研究

发布时间：2018-08-26 15:17

【摘要】：在对传统的部分相干光束研究的基础上,最近,一些新型的部分相干光束-非高斯(特殊)关联的部分相干光束相继被提出。非高斯关联引发了许多奇异的光学特性：自聚焦、自偏移、自整形、自分裂等。通常,新的光束在标量理论框架下提出,这会忽略光束的偏振信息。2003年Wolf教授在提出的相干偏振统一理论中指出：光的相干和偏振特性是紧密联系的,要充分认识涨落电磁光场的许多特性,须将研究从标量场拓展到矢量场。特殊关联部分相干光束的奇异特性决定了它们在激光探测、激光核聚变、光束整形、大气光通信等领域有潜在的实际应用。除此之外,一个最重要的应用是微粒操控。利用光压来操控微粒的技术称为光镊。不同的光镊形式可用来捕获粒子、旋转粒子、输运粒子或牵引粒子以及提升粒子。另外,光镊对微粒亚接触性和无损害性的操控使其成为研究生物活体细胞、中性原子和分子、量子点以及不同类型的电介质粒子的有力工具。另外一方面,近年来,新型的Airy光束因具有无衍射、自弯曲以及自愈等奇异特性引起了研究者们的极大兴趣。在此背景下,本论文重点研究矢量理论框架下两种非高斯关联部分相干光束分别通过光学系统和扰动大气传输的光学统计特性。然后基于标量理论和瑞利近似理论研究两种特殊关联部分相干光束对瑞利粒子的光学捕获特性。最后,我们研究了Airy涡旋光束在特殊材料中的传输特性。主要章节安排如下：第一章是本论文的绪论部分,首先从五个方面介绍本论文的研究背景,分别为：传统部分相干光束；特殊关联部分相干光束；部分相干电磁光束；光学捕获的提出和发展；Airy光束的起源和发展。然后介绍了本论文所涉及的研究方法和理论基础,包含三个部分：矩阵光学理论和衍射积分理论；部分相干偏振统一理论;瑞利近似理论下光辐射力的计算方法。第二章首先将方形高斯谢尔模光束(RGSM)拓展到矢量领域,推导出电磁RGSM光束通过ABCD光学系统传输,在输出平面内的交叉谱密度矩阵元的解析式。通过该表达式数值模拟RGSM光束通过分数傅里叶变换系统的轴向和横向光谱密度,光谱相干度和光谱偏振度的分布。具体分析在不同的分数傅里叶变换平面上RGSM光束的谱密度,相干度和偏振度的演化规律,以及在传统的傅里叶平面上,光束求和因子对这些统计特性的影响。其次,将随机标量环形光学框架光源推广到电磁领域。获得嵌套的电磁环形光学框架光束通过扰动大气的传输方程。以单个和两个嵌套的光学框架为例,比较研究它们在真空中和非Kolmogorov扰动大气模型中传输的统计特性。讨论大气扰动参数和光源参数对光谱密度,光谱偏振度和光谱相干度的影响。第三章首先研究多高斯谢尔模光束(MGSM)通过聚焦系统后在焦平面上对瑞利粒子的捕获情况。推导出MGSM光束通过会聚光学系统后在焦平面上的光强和辐射力的解析表达式,以及在真实的焦平面上最大辐射力的表达式。分析MGSM光源相干长度和求和因子对其捕获范围和稳定性的影响。讨论了稳定捕获的条件,确定了稳定捕获时光源相干长度的最小值和稳定捕获高折射率粒子的半径范围。其次,研究了广义的多高斯谢尔模光束(GMGSM)通过会聚系统后对两种类型的瑞利粒子的捕获情况。分析在焦点处和焦平面上距焦点不同位置处捕获高折射率和低折射率的瑞利粒子的情况,以及光束相干长度和光束求和因子对捕获范围和捕获稳定性影响。讨论稳定捕获的条件,确定可捕获的两种类型的粒子的半径范围。第四章推导了Airy涡旋光束通过ABCD光学系统的传输解析式。运用该解析数值模拟算Airy涡旋光束在手性材料中的光强的变化。分析涡旋在传输过程中对左旋圆偏振Airy涡旋光束和右旋圆偏振Airy涡旋光束的强度和相位的影响,并将Airy涡旋光束和Airy光束在真空中和手性材料中的传输特性进行比较。讨论不同的手性参数下,左旋圆偏振Airy涡旋光束和右旋圆偏振Airy涡旋光束在近场和远场的强度分布。第五章总结本论文的主要工作以及创新点,并提出对未来工作的展望。
[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.
【学位授予单位】：浙江大学
【学位级别】：博士
【学位授予年份】：2016
【分类号】：O435

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