Effects of low order atmosphere-turbulence aberrations on the vortex carrying Gaussian beam

The normalized intensity distributions at the focal plane of a vortex carrying Gaussian beam propagating in weak/middle turbulent atmosphere channel with z-tilt aberration, defocus aberration, astigmatism aberration or total turbulent aberration are discussed by numerical calculation. Our results show that the effect of z-tilt aberration on the intensity distribution of optical vortex beam is main effect of total turbulent aberration. In weak turbulent region, the effects of defocus and astigmatism aberration on the intensity distribution of a vortex carrying Gaussian beam can be ignored. In middle turbulent region, the effect of z-tilt aberration is still the most significant, but the effects of defocus and astigmatism aberrations, specially the effect of astigmatism on the center dark core of the intensity distribution at focal plane, can no longer be disregarded. Our results also show that for three low order aberrations, the beam with values of the topological charge, the beam have larger beam-radius and undergo smaller effects of z-tilt turbulent aberration on the doughnut distribution. For defocus aberration, the radius of the center dull of beam intensity increases with the values of topological charges increasing. And for astigmatism aberration, the beam with odd number topological charges, the center dull speck of beam intensity becomes to the bright speck. But for even number topological charges, the center dull speck of beam intensity maintains the dull one.     

Focusing for laser hole drilling

The power intensity distribution of a laser beam across the focal plane is important for producing good hole geometry. To examine the power intensity distribution in the region of the image plane of a practical lens, a diffraction integral method is employed. Lens aberration is accounted for by the intensity of the appropriate phase changes. In the analysis, a free-running pulsed multimode solid-state laser is considered and the lens is assumed to have aberrations. Since an on-axis object is examined, only spherical aberration is taken into account.     

大气湍流像差散焦和像散与高斯涡旋光束焦面光强

分别研究了构成大气湍流波像差中的散焦和像散两个低阶像差对高斯涡旋激光束传输和成像的影响.采用菲涅耳-基尔霍夫衍射积分理论和大气湍流波相位结构函数的平方近似研究了聚焦高斯涡旋光束在大气湍流中散焦和像散影响下焦面光强的分布特性.导出了斜程传输条件下接收面上平均光强分布的积分表达式,并采用数值模拟方法研究湍流强度、传输距离和拓扑电荷对焦面光强的调制规律.结果表明:在弱湍流起伏区域,散焦和像散两类像差对高斯涡旋光束的光强分布影响都很小,可以忽略;在中等湍流区域,随着光束传输距离和湍流强度的增加,两类像差都导致高斯涡旋光束的光强峰值降低、束径扩展、中心暗斑扩大.当单拓扑电荷高斯涡旋光束传输时,在同等传输条件下,像散导致的光强峰值降低比散焦更严重,主亮斑区域外的次级亮环强度更大,光斑和中心暗斑扩展更明显.与单拓扑电荷光束相比较,散焦和像散导致双拓扑电荷光束的扩展更加明显,中心光斑更大,亮环区域外的次级亮环更明显;但是,由于光的相干性的降低和光束的偏折效应,像散导致光束中心的暗斑变为次级亮斑.     

The effect of tilt aberration and astigmatism of turbulent atmosphere on the intensity distribution of a vortex carrying Gaussian beam

The effect of tilt and astigmatism aberration of the turbulent atmosphere on the intensity distribution of a focused vortex carrying Gaussian beam was investigated based on the extended Fresnel-Kirchhoff diffraction integral and the quadratic approximation of phase structure function. Our results have shown that the intensity distribution on the focal plane in the effect of tilt aberration changes with the turbulent strength, the propagation distance and the topological charge of the initial beam. The propagation distance is larger, the focal spot size will be larger, and the central dip will be less deep. It is also noticed that the intensity distribution of a beam with single topological charge is affected more by tilt aberration in comparison to the beam with double topological charge. The effect of astigmatism on the intensity distribution is quite less than that of tilt aberration. For focused beam propagation in atmosphere, the effect of the tilt aberration on the intensity distribution of optical vortex beam is the main effect of total turbulent aberration.     

单轴晶体Ⅰ类匹配相位畸变光束二次谐波理论分析

理论上研究了单轴晶体Ⅰ类匹配时相位畸变光束二次谐波的转换，其中考虑了衍射、离散效应，给出了相位畸变小信号解。在此基础上，以KDP晶体为例分析并给出了有像差高斯光束的转换效率随晶体长度的变化规律，对于任意光强分布和有任意相位畸变光束的谐波转换也是同样适用的。     

衍射现象对高精度偏转器设计的影响

基于波动光学理论,计算了由衍射、球差和色差三者共同作用的电子束斑电流分布,得到了电子束斑的精确信息和电子束曝光机的轴上分辨率。针对某一个具体系统的不同电子束孔径角,以偏转器的位置和相互转角为变量进行了偏转系统的优化设计;综合考虑了电子光学系统的衍射、轴上像差和偏转像差三者与光阑孔径角的不同关系。得到了光柱体的最佳总体性能,保证了电子束曝光机的高分辨率和均匀性。     

高斯光束的象差平衡

本文从有象差时的衍射积分出发,导出高斯光束中心点亮度与波象差方差的关系,依据斯特列尔判据,采用解线性方程组的方法讨论了高斯光束球差及轴外象差的最佳校正形式,并以表格方式给出了最佳校正形式.     

The effect of spherical aberration on temperature distribution inside glass by irradiation of a high repetition rate femtosecond pulse laser

In this paper, we study the effect of spherical aberrations on the light intensity and the temperature distribution in the focal region in a 250-kHz femtosecond laser irradiated Ag⁺-doped borosilicate glass. When a focused beam goes through an interface between air and glass, spherical aberration will result in the separation of the focal point and then cause a clear change of the light intensity distribution along the incident direction. That phenomenon will further influence the longitudinal cross-section temperature distribution in glass. Here we use Ag nanoparticle formation as a marker for establishing temperature distribution and we find that the formation of nanoparticle shows a strong dependence on the temperature field and the detailed precipitation process is also discussed.     

根据激光束横截面能量分布的变化测量大功率激光聚焦镜的像差

提出了一种实时测量大功率激光照射下聚焦镜产生的像差的新方法。该方法利用混合模激光束在传输过程中光束横截面能量分布的变化来进行测量。首先通过计算混合模激光束的光学参数来模拟其在传输过程中的光束横截面能量分布的变化,然后计算其通过聚焦镜后在焦点位置的光束横截面能量分布,通过对比计算所得的光束横截面能量分布和实际测量的焦点位置的光束横截面能量分布的差异,得到聚焦镜的像差。     

Far-field vector-diffraction of off-axis parabolic mirror under oblique incidence

Based on a full vector-diffraction theory, a detailed theoretical study is carried out, aiming at providing a clear insight into the effects of different focusing and off-axis parabola parameters on far-field vector-diffraction properties of an offaxis parabolic mirror in the presence of misalignments of the incoming beam. The physical origin of these effects is also explored. The results show that the far-field intensity profile is altered by the distortion-, coma-, and astigmatism-like aberrations, which are caused by oblique incidence rather than inherent aberrations for the off-axis configuration. The radius of 90% encircled energy also increases but does not change monotonically with incident beam size increasing, or rather,it first decreases and then increases. The focal shift strongly depends on the effective focal length and oblique incidence angle, but it is almost independent of the beam size, which affects the focusing spot patterns. The intensity distribution produces a higher astigmatic image with off-axis angle increasing. Coma-like aberration starts to become dominant with beam size increasing and results in larger curved propagation trajectory. The incident polarization also affects the intensity distribution. The variation in the Strehl ratio with oblique incidence angle strongly depends on the misalignment direction and beam size as well. In addition, we find that the difference in locus between the catacaustic and the diffraction focus in the meridian is small. But the locus of the sagittal foci is obviously different from the locus of the meridian foci and the catacaustic focus. Moreover, the peak intensity of the sagittal focus is maximum, and the ratio of the peak intensity to that in the meridian plane is approximately 1.5. Understanding these effects is valuable for assessing a practical focused intensity and describing the motion of charged particles under a strong electric field in ultraintense laser–matter interaction.     

高功率二极管泵浦激光模块的热致球差

 为获得高功率高光束质量的激光器,对激光器中的热致球差进行了研究。介绍了高功率二极管泵浦Nd:YAG棒激光模块热致球差的测量和补偿方法。使用S-H波前探测器测量了激光模块的三阶球差,设计了补偿系统对激光模块的球差进行了补偿,并对补偿前后的各阶像差进行了分析。在主振功放(MOPA)系统中使用球差补偿系统,工作电流110 A时,光束质量平方因子从9.2提高到6.4。实验结果表明球差补偿系统能消除激光模块的的三阶球差,而且不会引起其它像差的增大,提高了激光器光束质量。     

慧差对线偏振贝塞耳-高斯光束聚焦场的影响

利用Richards-Wolf矢量衍射积分公式,获得线偏振贝塞耳-高斯光束经具有初级慧差的高数值孔径系统聚焦后的三维光场复振幅函数,根据复振幅函数模拟了不同慧差系数下线偏振贝塞耳-高斯光束各分量及总光场在焦平面上的光强分布模式。研究结果表明,初级慧差使线偏振贝塞耳-高斯光束聚焦光场在焦平面的分布由双轴对称变成单轴对称,光强模式发生改变;各分量及总光场的光强模式中的光斑位置随初级慧差系数的增大偏离光轴;大的初级慧差使焦平面出现干涉条纹。     

Adaptive aberration correction based on ant colony algorithm for solid-state lasers: numerical simulations

We describe an adaptive aberration correction technique based on an ant colony algorithm for solid-state lasers and a general class of other adaptive optics systems. We show that it is possible to compensate phase aberrations without wavefront sensing in this approach, which iteratively adjusts the control voltages of a deformable mirror to maximize certain system performance metrics of the far-field intensity distribution of the laser beam. The effectiveness of this approach is analyzed numerically by use of a 37-element piezoelectric deformable mirror and a variation of the Strehl ratio as the metric. Results demonstrate that this approach can effectively compensate the phase distortions of laser beams and significantly improve beam quality. A comparison indicates that this approach is much faster than a genetic algorithm while achieving almost the same beam quality.     

Effect of tilt and astigmatism aberration of turbulent atmosphere on the intensity distributions of a LG11 beam

The effects of turbulent aberration such as z-tilt aberration, and astigmatism on the intensity distribution of double ring shaped LG₁₁ beam have been investigated using the Fresnel–Kirchhoff diffraction integral and the quadratic approximation. The effect of turbulent aberration on the intensity distributions at the focal plane with different turbulent strength, and propagation distance is analyzed numerically. It is observed that the effect of tilt aberration gives major effect on the intensity distribution of the LG_(1,1) beam in the turbulent atmosphere.     

Method of reconstructing wavefront aberrations from the intensity measurement

A method for reconstructing wavefront aberrations from intensity measurements in the focal plane of a focusing optic is presented. This reconstruction method is simple, fast, and accurate in reconstructing wavefront aberrations because it uses the inverse Fourier transform of an intensity distribution in the focal plane with a reference electric field. The validity of the reconstruction method is demonstrated by computing a wavefront aberration from the intensity distributions in the focal plane.     

Effect of Comatic Aberration on the Propagation Characteristics of Laguerre--Gaussian Beams

Seidel comatic aberration is an important cause of deformation for a Laguerre--Gaussian (LG) beam. In addition, mono-axial comatic aberration, whose phase modulation depends only on one transverse coordinate, is also an important cause of beam deformation. Deformation of an LG beam by such aberrations is analyzed through numerical simulation based on the angular spectrum method. It is also shown that for holographically generated LG beams quadratic spatial variation of grating pitch can produce seidel and mono-axial comatic aberrations. An example of an experimentally generated LG beam with mono-axial comatic aberration is reported.     

复合的电子束扫描系统象差的动态校正

本文在文献[1]的基础上讨论了复合的电子束扫描系统象差的动态校正问题。讨论了采用不同的电磁多极场作为动态校正器的可能性。推导了圆形校正透镜、偏转校正场和四极、六极校正场引起的附加象差的公式。由此证明了由这种圆形校正透镜、偏转校正场和四极校正场等组成的动态校正系统在一定条件下可以消除复合的电子束扫描系统中大多数的三级偏转象差。 关键词：     

Determining the complex point-spread function of a scanning differential heterodyne microscope

For a scanning differential heterodyne microscope, the two-dimensional point spread function and the pupil function are determined from experimental measurements of the intensity distribution of a probing beam. The phase components of these functions were restored from the measured distributions using the Gerchberg-Saxton algorithm. Based on the two-dimensional pupil function, the three-dimensional point-spread function is determined in the scalar approximation using the Debye integral. The aberration function of the microscope is analyzed from the viewpoint of the composition of aberrations and method of their balancing. The focusing adjustment criterion of the microscope for an object under study by the phase response from the test structure is considered.     

高级象差理论

本文的主要目的在以近似方法讨论高级象差特性。首先由对称性讨论了二级象差的独立象差数,近似讨论了象差的几何意义,再由坐标变换的观点导出了光栏移动时象差变化的规律。由Fermat原理和同一光线可看作是各不同点发出的观点导出了物体移动时象差变化的规律。由于运用Fermat原理,所得的结果实际上是略去初级象差影响后的近似结果,因此表示式相当简单。然后我们把象差产生的原因分为二类。其一称作是本徵的,是入射光束无象差时必然产生的象差,用象差看作球差的观点导出了它们的表示式,结果表明,高级球差和本徵轴外球差是象差产生的原因,并导出了各种象差同时产生的状况。象差的另一类称作是衍生的,它们是由入射光线原有象差引起的初级象差差异,由初级象差理论即可得出它们的表示式。这一些高级象差的规律和近似表示可作为评断象差产生原因的半定量依据。最后,用Fermat原理讨论了高级色差问题,并说明Fermat原理之所以可在高级象差理论中应用的理由及不致误差过大的应用范围。     

Influence of spherical aberrations on the performance of dynamically stable resonators

Spherical aberrations of thermal lens of the active media are severe when the solid state lasers are strongly pumped. The aberrations influence the mode profile, the diffraction loss, the output power and other laser beam properties, especially for a dynamically stable resonator with large TEM₀₀-mode volume. Self-consistent modes in a resonator with aberrations are calculated using Fox-Li diffraction iterative algorithm. There are side lobes with the fundamental mode when the spherical aberration is introduced, hence the beam quality is deteriorated. The calculated results agree well with the experimental data. The beam filling factor plays an important role in the design of a laser system. The optimum value of the beam filling factor should be determined by the experimental results according to the spherical aberration effect.