平顶高斯光束的相关概念和对称化变换

对平顶高斯光束有关的一些重要概念,例如场分布和束宽等作了物理分析。进一步将二维平顶高斯光束推广到三维情况,并且对三维平顶高斯光束的对称化变换,包括在X和Y方向束宽相等和ｚ平面处曲率半径相等,进行了详细的研究。     

平顶高斯光束的相关概念和对称化变换

对平顶高斯光束有关的一些重要概念,例如场分布和束宽等作了物理分析。进一步将二维平顶高斯光束推广到三维情况,并且对三维平顶高斯光束的对称化变换,包括在X和Y方向束宽相等和ｚ平面处曲率半径相等,进行了详细的研究。     

平顶光束通过像散透镜的传输和光束参量的变化

对平顶光束通过像散透镜的传输和光束参量(包括束宽、束腰宽度和位置、远场发散角和M2因子)的变化做了研究.结果表明,像散使平顶光束在x方向的束腰宽度增加,远场发散角减小,实际焦点的位置远离透镜,而在y方向正相反.平顶光束的M2因子与像散无关.x、y方向束宽和远场发散角的相对误差随光束阶数,瑞利长度,像散系数和透镜焦距变化.当x、y方向的光束阶数和初始束宽相等时,几何焦面上两方向束宽的相对误差相等,但在实际焦面上不同.     

用Wigner分布函数方法研究平顶多高斯光束的分数傅里叶变换

本文用Wigner分布函数方法分析了平顶多高斯光束的分数傅里叶变换。导出了分数傅里叶变换面上光的强度、束宽、远场发散角、M2因子和K参数的解析表达式。通过数值模拟研究了分数傅里叶变换阶数对平顶多高斯光束传输性质的影响。     

平顶高斯光束与超高斯光束传输特性的比较研究

对平顶高斯光束与超高斯光束的传输特性作了研究和比较,并给出了典型的数值计算例．所得的主要结论是有相同M²因子和束宽的平顶高斯光束与超高斯光束在通过光学系统时,具有非常相似的包括光强分布和光阑衍射效应在内的传输变换特性． 关键词：     

平顶高斯光束和超高斯光束传输特性的相似性

在直角坐标系下对平顶高斯光束和超高斯光束的传输特性的相似性问题作了讨论。研究表明,当有相同的M2因子但束宽不同的平顶高斯光束和超高斯光束通过光阑效应可忽略ABCD光学系统传输时,在广义菲涅尔数F相等处有相似的光强分布。对于有光阑和用球差透镜聚焦的情况,若平顶高斯光束和超高斯光束具有相同的M2因子和束腰宽度,则在相同传输距离处仍可得到相似的光强分布。     

截断平顶高斯光束M2因子的比较研究

使用熵束宽、渐近分析和环围功率法对截断平顶高斯光束的束腰宽度w、远场发散角θ0和M²因子作了比较研究.结果表明:按不同束宽定义得到的截断平顶高斯光束的w、θ0和M²因子不同,且与截断参量a/w0(a为光阑半宽度,w0为平顶高斯光束初始束腰宽度)有关.随a/w0的增加,三种方法计算得到的w、θ0和M²都分别趋于某常量.     

平顶高斯光束和超高斯光束传输特性的相似性

 在直角坐标系下对平顶高斯光束和超高斯光束的传输特性的相似性问题作了讨论。研究表明,当有相同的M²因子但束宽不同的平顶高斯光束和超高斯光束通过光阑效应可忽略ABCD光学系统传输时,在广义菲涅尔数F相等处有相似的光强分布。对于有光阑和用球差透镜聚焦的情况,若平顶高斯光束和超高斯光束具有相同的M²因子和束腰宽度,则在相同传输距离处仍可得到相似的光强分布。     

分数傅里叶变换面上余弦-高斯光束的变换特性

 利用Wigner分布函数的方法，研究了余弦-高斯光束的分数傅里叶变换特性。导出了余弦-高斯光束在分数傅里叶变换面上光强分布和束宽的解析计算公式，并对此进行了数值模拟计算。研究表明：分数傅里叶变换阶数对余弦-高斯光束的光强分布有明显影响，余弦-高斯光束的轴上光强随分数傅里叶变换阶数呈周期性变化，束宽随分数傅里叶变换阶数也呈周期性变化，周期为2；对给定调制参数的余弦-高斯光束，通过适当选取分数傅里叶变化阶数可以获得平顶的光强分布。     

大气湍流对部分相干平顶高斯光束的影响

采用相屏近似处理方法对激光通过湍流大气的传输进行了数值模拟。从数值模拟的结果拟合出两个公式:一是通过湍流前后部分相干平顶高斯光束的束宽平方比随阶数、传输距离和湍流强度的变化关系式;一是通过湍流后的相干长度随初始光束相干长度、湍流相干长度的变化关系式。研究发现:部分相干平顶高斯光束分解为相互独立的厄米-高斯光束的叠加;相干性越差的光束受到湍流的影响程度就越小;湍流对光束传输的影响与光束自身相干特性对其传输的影响之间是不相关的。     

Central region design for a 10 MeV internal ion source cyclotron

Internal ion sources are widely adopted in commercial cyclotrons used for short-life isotopes production. Without beam manipulation provided by the external beam injection line, the central region of this type of cyclotron is more sensitive and should be carefully designed. A design study and beam dynamics simulation for the central region of a 10 MeV compact cyclotron is presented. The OPERA3D/TOSCA code was used to calculate the electric field from a parameterized three dimensional （3D） central region model. With iterative structure optimizations of the central region, the beam centering and vertical focusing is well controlled, and the RF phase acceptance is around 25°. A c＋＋ code for beam simulation in the central region was developed and tested.     

Central region design for a 10 MeV internal ion source cyclotron

Internal ion sources are widely adopted in commercial cyclotrons used for short-life isotopes produc-tion. Without beam manipulation provided by the external beam injection line, the central region of this type of cyclotron is more sensitive and should be carefully designed. A design study and beam dynamics simulation for the central region of a 10 MeV compact cyclotron is presented. The OPERA3D/TOSCA code was used to calculate the electric field from a parameterized three dimensional (3D) central region model. With iterative structure optimizations of the central region, the beam centering and vertical focusing is well controlled, and the RF phase acceptance is around 25° A c++ code for beam simulation in the central region was developed and tested.     

束流四维横向相空间密度函数的测量原理

 Radon变换与参数可调的输运元件结合,可以为束流诊断提供一种与束流模型无关的新方法。此方法与计算机图象处理技术的结合至少可以使测定束流横向发射度的精度提高一个量级,而且可以得到足够分辨率的束流四维横向相空间分布。该方法为加速器,特别是高亮度强流加速器的研制提供了一种有力的监测工具。为研究束流传输、验证束流动力学理论提供了更为可靠的判据。     

会聚高斯光束焦点附近的三维光分布状态

根据惠更斯 菲涅耳原理 ,推导出了会聚高斯光束经圆形孔径衍射后焦点附近的三维光分布状态级数表达式 ,并与经典的均匀光波理论进行了比较。讨论了会聚高斯光束焦移与光学系统及高斯光束参数的关系。给出了会聚高斯光束焦点附近的等照度线图。结果表明 ,对于大菲涅耳数系统来说 ,其光强分布具有对称性     

三级近似束流光学计算程序

为了精确计算束流在离子光学系统中的传输,用Visual FORTRAN 6.5语言编写了一个计算程序,长约13000行. 此程序可以计算由三圆筒单透镜、三膜片单透镜、双元筒透镜、均匀场静电加速管、磁四极透镜、六极磁铁、静电四极透镜、偏转磁铁、螺线管透镜、ExB~正交电磁场分析器、静电偏转器、漂浮管、QWR(Quarter Wave Resonators)和SLR(Split Loop Resonators)射频加速元件等元件任意组成的离子光学系统. 粒子轨迹的计算可精确到三级近似. 粒子的分布类型也可以有多种选择. 程序具有最优化计算功能,即可以自动调整元件的参数,以实现所需要的光学条件. 各元件之后的横向和纵向相图以及系统的束流包络线以图形方式显示在屏幕上.     

1D Bessel-like beam generation by highly directive transmission through a sub-wavelength slit embedded in periodic metallic grooves

A new method to generate a quasi-one dimensional (1D) Bessel-like beam whose non-diffracting length extends to macroscopic scale is proposed by utilizing highly directive transmission through a sub-wavelength single slit embedded in periodic metallic grooves. We employed finite-difference time-domain methods for full-vectorial diffraction and spectral analysis. In optimal conditions, unique quasi-1D Bessel-like beams were generated in transmission for the incident p-polarized plane wave such that highly asymmetric far-field distribution was achieved; Bessel-like beam along the slit axis and a flat-top super-Gaussian beam along the other perpendicular axis. Detailed parametric studies for the proposed structure are reported in terms of the operating spectral range and a general window of optimal conditions.     

Micro‐beam Laue alignment of multi‐reflection Bragg coherent diffraction imaging measurements

Multi‐reflection Bragg coherent diffraction imaging has the potential to allow three‐dimensional (3D) resolved measurements of the full lattice strain tensor in specific micro‐crystals. Until now such measurements were hampered by the need for laborious, time‐intensive alignment procedures. Here a different approach is demonstrated, using micro‐beam Laue X‐ray diffraction to first determine the lattice orientation of the micro‐crystal. This information is then used to rapidly align coherent diffraction measurements of three or more reflections from the crystal. Based on these, 3D strain and stress fields in the crystal are successfully determined. This approach is demonstrated on a focused ion beam milled micro‐crystal from which six reflections could be measured. Since information from more than three independent reflections is available, the reliability of the phases retrieved from the coherent diffraction data can be assessed. Our results show that rapid, reliable 3D coherent diffraction measurements of the full lattice strain tensor in specific micro‐crystals are now feasible and can be successfully carried out even in heavily distorted samples.     

黑腔中高斯型激光束偏折的模拟研究

利用三维激光等离子体相互作用流体程序LAP3D数值模拟研究了高斯光束在均匀等离子体传播过程中的激光束偏折现象,分别考察了激光强度变化和等离子体横向流的流速变化对束偏折的影响。模拟结果表明：当流速接近离子声速时,激光束偏折效应最明显,此时激光偏折程度与激光强度成正比;当流速逐渐小于离子声速时,激光束偏折行为受抑制逐渐减弱;而当流速逐渐大于离子声速时,激光光强包络的变化以衍射效应为主。     

螺旋轴棱锥的光束传输特性

分析了螺旋轴棱锥的结构和光传输特性,基于衍射积分理论研究了发散球面波和拉盖尔-高斯光束经螺旋轴棱锥后的传输过程。研究表明,发散球面波经过螺旋轴棱锥后产生贝塞尔光束,其阶数与拓扑电荷数相同,但中心光斑（空心光斑）半径随传输距离的增加而变大;拉盖尔-高斯光束入射后同样产生贝塞尔光束,但其阶数变为拉盖尔-高斯光束和螺旋轴棱锥的拓扑电荷数之和,出射光束的拓扑电荷数与阶数相等。