CAJ | 학술논문

Airy加速光束是近年来备受关注的一种新型无衍射光束.它所具有的自由加速、无衍射及自恢复特性使其在光学微操纵、非线性光学、电子加速等诸多领域显示出重要的应用价值.因此,如何方便高效地生成加速光束成为近年来的一个热点研究内容.本文对Airy加速光束复振幅分布的空间振荡特性进行了分析,建立了利用局域空间频率描述其加速特性的理论.提出了利用零点坐标计算加速光束局域空间频率的方法,通过非线性拟合给出了可以精确描述Airy光束局域空间频率的解析公式;确定了加速光束的局域空间频率函数与加速轨迹之间的定量关系,给出了由给定加速轨迹计算相应的局域空间频率以及加速光束的纯相位函数的一种简单计算方法.将上述分析结果用于设计产生具有给定加速轨迹的加速光束所需的相位函数,成功求出了能够产生圆弧形加速轨迹的新型加速光束的纯相位函数的解析表达式.基于该相位函数设计的纯相位衍射光学元件的模拟衍射结果证明了上述方法的可行性.
Airy가속광속시근년래비수관주적일충신형무연사광속.타소구유적자유가속、무연사급자회복특성사기재광학미조종、비선성광학、전자가속등제다영역현시출중요적응용개치.인차,여하방편고효지생성가속광속성위근년래적일개열점연구내용.본문대Airy가속광속복진폭분포적공간진탕특성진행료분석,건립료이용국역공간빈솔묘술기가속특성적이론.제출료이용영점좌표계산가속광속국역공간빈솔적방법,통과비선성의합급출료가이정학묘술Airy광속국역공간빈솔적해석공식;학정료가속광속적국역공간빈솔함수여가속궤적지간적정량관계,급출료유급정가속궤적계산상응적국역공간빈솔이급가속광속적순상위함수적일충간단계산방법.장상술분석결과용우설계산생구유급정가속궤적적가속광속소수적상위함수,성공구출료능구산생원호형가속궤적적신형가속광속적순상위함수적해석표체식.기우해상위함수설계적순상위연사광학원건적모의연사결과증명료상술방법적가행성.
@@@@Airy accelerating beams have aroused a great deal of interest because of their non-diffracting and self-accelerating properties, which have many potential applications such as in optical micromanipulations, nonlinear optics and vacuum electron acceleration. A key issue in research of the acceleration beam and its applications is how to generate this specific type of beams with high energy efficiency. In this paper, the spatial oscillation properties of the complex amplitude of an accelerating beam are analyzed and a theory describing the accelerating properties of the beam based on its local spatial frequency is proposed. The local spatial frequency of a general Airy beam is calculated through the zero-point coordinates of the Airy function, and an analytical formula accurately describing the local spatial frequency distribution is given. The relationship between the local spatial frequency and the accelerating trajectory of the beam is also given, based on which a simple algorithm for finding the pure-phase expression of an acceleration beam from its given accelerating trajectory is presented. Finally an analytical expression of the pure-phase function of an acceleration beam for generating a circle-arced trajectory is found out, based on which a pure-phase diffractive optical element is designed and demonstrated successfully.