本文選題：矢量貝塞爾波束 + 捕獲力��； 參考：《西安電子科技大學》2015年碩士論文

【摘要】：基于光的力學效應(yīng),光鑷可以對微小粒子實現(xiàn)非接觸、無損傷的捕獲和操控。近年來,該技術(shù)已得到了快速發(fā)展,并廣泛應(yīng)用于生物學、化學、醫(yī)學、物理學和微流控光學等各個領(lǐng)域,同時各領(lǐng)域?qū)ζ湟蔡岢隽诵碌囊蠛吞魬?zhàn)。貝塞爾波束可以彌補高斯波束在光學操控中的不足,并實現(xiàn)一些全新的功能。綜合考慮貝塞爾波束的無衍射性、自重建性及其極化特性,本文研究了矢量貝塞爾波束對瑞利粒子的力學效應(yīng),主要研究工作如下:1.基于角譜展開理論,推導了軸棱錐產(chǎn)生的矢量貝塞爾波束電磁場的數(shù)學描述,并在此基礎(chǔ)上推導了對應(yīng)的光強和坡印亭矢量。光強和坡印亭矢量的數(shù)值研究發(fā)現(xiàn):貝塞爾波束的極化狀態(tài)影響波束光強取最大值的位置和對應(yīng)入射波束的能量流動范圍。2.利用瑞利模型研究了波束作用在瑞利粒子上的光學力,推導了矢量貝塞爾波束對瑞利粒子的徑向、角向和軸向的光學力。在公式推導的過程中,我們分別討論了線極化、圓極化、徑向極化、角向極化和非極化貝塞爾波束對聚苯乙烯球形粒子的光學力各個分量的特點,研究了貝塞爾函數(shù)的階數(shù)l、波束的極化狀態(tài)和傍軸度(或半錐角)對光學力的影響,并分析了能穩(wěn)定捕獲粒子的個數(shù)。計算結(jié)果表明:貝塞爾波束的極化狀態(tài)影響各個方向上穩(wěn)定捕獲粒子的位置。3.研究了矢量貝塞爾波束對瑞利粒子的力矩,包含粒子的外稟力矩和內(nèi)稟力矩。同樣研究了貝塞爾函數(shù)的階數(shù)l、極化狀態(tài)和傍軸度(或半錐角)等因素對粒子的合力矩、軌道力矩和內(nèi)稟力矩的影響。數(shù)值分析可知:波束的極化狀態(tài)影響力矩的大小和正負。
[Abstract]:Based on the mechanical effect of light, optical tweezers can capture and manipulate tiny particles without contact and damage. In recent years, this technology has been developed rapidly and has been widely used in biology, chemistry, medicine, physics and microfluidic optics. Bezier beam can make up for the deficiency of Gao Si beam in optical manipulation and realize some new functions. Considering the non-diffraction, self-reconstruction and polarization characteristics of Bezier beam, the mechanical effects of vector Bezier beam on Rayleigh particles are studied in this paper. The main research work is as follows: 1. Based on the theory of angular spectrum expansion, the mathematical description of the vector Bezier beam electromagnetic field generated by the axial pyramid is derived, and the corresponding light intensity and Poynting vector are derived. The numerical study of light intensity and Poynting vector shows that the polarization state of Bezier beam affects the position of maximum beam intensity and the energy flow range of incident beam. The optical force of beam acting on Rayleigh particles is studied by using Rayleigh model, and the radial, angular and axial optical forces of vector Bezier beam on Rayleigh particles are derived. In the process of formula derivation, we discuss the characteristics of the optical forces of linear polarization, circular polarization, radial polarization, angular polarization and non-polarized Bezier beam on polystyrene spherical particles, respectively. The effects of the order l of the Bessel function, the polarization state of the beam and the paraxial degree (or semi-cone angle) on the optical force are studied, and the number of trapped particles is analyzed. The results show that the polarization state of the Bezier beam affects the position of the trapped particles in all directions. The moment of vector Bezier beam on Rayleigh particle, including intrinsic moment and intrinsic moment, is studied. The effects of the order of Bessel function, polarization state and paraxial degree (or semi-cone angle) on the resultant moment, orbital moment and intrinsic moment of particles are also studied. Numerical analysis shows that the polarization state of the beam affects the magnitude and the positive value of the moment.
【學位授予單位】：西安電子科技大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：O43;O441.4

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