熔石英亚表面横向划痕调制作用的3维模拟

建立了熔石英后表面3维横向划痕模型,并采用3维时域有限差分方法对熔石英亚表面划痕周围的电场强度进行了数值模拟,分析了划痕宽度、深度、长度以及划痕倾斜角度对入射光场的调制作用,结果表明:随划痕深度和划痕长度的增加,熔石英内的最大电场强度增大,且当划痕长度达到1μm以上时,最大电场强度趋于稳定;划痕结构因子在1~2之间的划痕较容易引起熔石英损伤;而入射激光在划痕界面和后表面之间发生内全反射时,后表面上的光强增强效果更加明显,因此减少角度范围在20.9°~45°之内的划痕能大幅提高熔石英的损伤阈值。     

Numerical simulation of the modulation to incident laser by the repaired damage site in a fused silica subsurface

One of the main factors of laser induced damage is the modulation to incident laser which is caused by the defect in the subsurface of the fused silica.In this work,the repaired damage site irradiated by CO 2 laser is simplified to a Gaussian rotation according to the corresponding experimental results.Then,the three-dimensional finite-difference time-domain method is employed to simulate the electric field intensity distribution in the vicinity of this kind of defect in fused silica front subsurface.The simulated results show that the modulation is notable,the E max is about 2.6 times the irradiated electric field intensity in the fused silica with the damage site (the width is 1.5 μm and depth is 2.3 μm) though the damage site is repaired by CO 2 laser.The phenomenon and the theoretical result of the annular laser enhancement existed on the rear surface are first verified effectively,which agrees well with the corresponding experimental results.The relations between the maximal electric field intensity in fused silica with defect depth and width are given respectively.Meanwhile,the corresponding physical mechanism is analysed theoretically in detail.     

The electric field modulation by lateral crack coated with HfO2/SiO2 high reflector

High-dielectric constant multilayer coatings are commonly used on optics to increase the laser damage resistance of optics. In this work, the three-dimensional finite-difference time-domain is improved to simulate the electric field intensity distribution in the silica–hafnia multilayer coatings on fused silica subsurface with lateral crack. Results reveal that as the substrate is defect-free, the largest intensification is at the surface layer, especially in the hafnia layer. As the lateral crack appears on the subsurface of fused silica, the intensified sites are mainly located at distorted coatings layers. Dependences of peak LIEF on crack's parameters are detailed investigated. Results show that laser intensification is more sensitive to its width, and the modulation of lateral defect with silica–hafnia multilayer is greater than nodular defect as its width larger than 5λ.     

激光诱导光学材料后表面损伤的数值模拟

 采用3维时域有限差分方法和完全匹配吸收层,模拟了长方体缺陷在熔石英前后表面时对入射激光为TM波的调制作用,绘出了截面上的电场强度分布及最大电场强度随熔石英深度变化的曲线,并进行了比较和分析。结果表明：缺陷在前表面上时,后表面附近的最大电场强度2.522 41 V/m大于缺陷附近的1958 83 V/m;缺陷在后表面上时,材料中的最大电场强度为2.799 38 V/m,且出现在后表面附近。无论该缺陷在前表面还是在后表面,最大电场强度都是出现在后表面附近,表明光学材料的后表面在一定程度上更容易被损伤。     

熔石英亚表面缺陷附近光强分布的数值模拟

 熔石英亚表面缺陷对光场的调制是导致激光辐照场破坏的主要因素。采用有限元方法对熔石英亚表面缺陷（平面和锥形划痕）周围的光强分布进行了数值模拟。结果表明：划痕形状、几何尺寸、方位角、光的入射角等是影响划痕周围光强分布的主要因素;前表面划痕对光强的增强效果比后表面弱;在理想形状的划痕截面和表面同时发生内全反射时,平面划痕周围的光强增强效果明显。锥形划痕周围的光强分布为正确解释交叉划痕的夹角平分线附近的损伤提供了理论依据。     

The electric field modulation by three-dimensional crack on fused silica subsurface

The main factor of laser-induced damage is the modulation to electromagnetic field of laser by the crack on the subsurface. In this paper, a three-dimensional crack model on the exit surface is presented. Three-dimensional finite-difference time-domain (FDTD) method is employed to simulate the electric field intensity distribution in the vicinity of crack on fused silica subsurface. The roles of the crack width, depth, length and the gradient angle in the modulation to the incident light field are analyzed in detail. Results show that the crack size plays an important role in the electric modulation. With the increasing depth and width, the peak value of maximal electric field intensity appears in fused silica. However, the maximal electric field intensity tends to be a constant when the crack length reaches 1 μm. Besides, the enhancement of light intensity becomes obvious when total internal reflection occurs in fused silica. Our calculated results provide an advisable theoretical criterion to the corresponding experiment.     

Incident laser modulation of a repaired damage site with a rim in fused silica rear subsurface

Local CO2 laser treatment has proved to be an effective method to prevent the 351-nm laser-induced damage sites in a fused silica surface from exponentially growing, which is responsible for limiting the lifetime of optics in high fluence laser systems. However, the CO2 laser induced ablation crater is often surrounded by a raised rim at the edge, which can also result in the intensification of transmitted ultraviolet light that may damage the downstream optics. In this work, the three-dimensional finite-difference time-domain method is developed to simulate the distribution of electrical field intensity in the vicinity of the CO2 laser mitigated damage site located in the exit subsurface of fused silica. The simulated results show that the repaired damage sites with raised rims cause more notable modulation to the incident laser than those without rims. Specifically, we present a theoretical model of using dimpled patterning to control the rim structure around the edge of repaired damage sites to avoid damage to downstream optics. The calculated results accord well with previous experimental results and the underlying physical mechanism is analysed in detail.     

Numerical simulation of modulation to incident laser by submicron to micron surface contaminants on fused silica

Modulation caused by surface/subsurface contaminants is one of the important factors for laser-induced damage of fused silica. In this work, a three-dimensional finite-difference time-domain(3D-FDTD) method is employed to simulate the electric field intensity distribution in the vicinity of particulate contaminants on fused silica surface. The simulated results reveal that the contaminant on both the input and output surfaces plays an important role in the electric field modulation of the incident laser. The influences of the shape, size, embedded depth, dielectric constant(εr), and the number of contaminant particles on the electric field distribution are discussed in detail. Meanwhile, the corresponding physical mechanism is analyzed theoretically.     

熔石英亚表面修复形貌对光场的调制

基于标量衍射理论, 计算了熔石英亚表面高斯型修复形貌对于光场的调制，用Matlab对结果进行了仿真并与实验结果进行了比较。所得结果表明，二者有较好的一致性, 一定尺度的高斯面型修复形貌会对光场产生调制，且调制度随光场传输位置变化，通过适当选择后续光学元件位置，可降低光场调制造成光学元件损伤的风险。     

熔石英亚表面三维Hertz锥形划痕附近光强分布的数值模拟

熔石英亚表面划痕对入射激光的调制是导致光学材料损伤的主要因素.本文建立了熔石英后表面上三维Hertz锥形划痕模型,采用三维时域有限差分方法对划痕周围的电场强度进行了计算模拟,并分别讨论了划痕的深度、半径以及倾斜角度对入射光场调制作用的影响.结果表明：Hertz锥形划痕中心区域的电场增强效果最明显,最容易被辐照损伤;划痕的深度从λ变化到9.5λ的过程中,熔石英内的最大电场强度逐渐增大;半径小于15λ的Hertz锥形划痕较容易引起熔石英的损伤,当半径大于175λ时,熔石英内的最大电场强度都维持在2.5 V/m,不再受半径大小影响;当入射激光在划痕的内侧界面和熔石英后表面之间发生内全反射时,光场增强效果愈加明显. 关键词： 三维时域有限差分 Hertz锥形划痕 电场分布 数值模拟     

激光诱导熔石英表面损伤修复中的气泡形成和控制研究

基于熔石英材料在CO_2激光作用下的温度分布和结构参数变化的计算结果,对熔石英损伤修复中的气泡形成和控制进行了研究.针对损伤尺寸介于150—250μm之间的损伤点,提出了一种能够有效控制气泡形成的长时间低温预热修复方法.基于低温下熔石英材料结构弛豫时间常数较长的特点,该方法在不引起熔石英材料结构发生显著变化的同时,能够解吸附表面和裂纹处所附着的气体和杂质,可有效降低裂纹闭合过程中气泡形成的概率.实验结果表明,长时间低温预热修复方法的成功修复概率可达到98%.     

高功率激光光束经颗粒污染后的近场衍射效应

采用高功率激光驱动器设计软件Laser designer数值研究了激光光束经颗粒污染后的近场衍射特性. 对颗粒污染所产生的调制进行了分类, 并详细分析了真空和石英玻璃中, 振幅调制型和位相调制型颗粒污染对光束近场的影响. 研究结果表明, 无论在真空或石英玻璃中, 位相型颗粒污染对高功率激光光束的近场调制影响较大. 且在石英玻璃中, 位相型硬边颗粒污染所引起的高功率激光光束小尺度自聚焦热像调制现象相当严重. 而由颗粒污染引起光束强区的横向偏移, 却在一定程度对小尺度自聚焦有抑制作用.     

光学材料亚表面缺陷处强激光电磁场分布的3维模拟

 利用时域有限差分法求解麦克斯韦旋度方程,研究了光学材料表面缺陷对入射激光场的调制作用,建立了亚表面缺陷的3维模型。以长方体表面缺陷为例,对缺陷附近的光场分布进行了3维数值计算,给出了电场强度3维分布图和缺陷不同尺寸时的最大电场强度。研究表明,相对于2维简化情况,3维表面缺陷对强激光电磁场的调制作用更加明显。     

Defect states at the TiO2(110) surface probed by resonant photoelectron diffraction

The charge distribution of the defect states at the reduced TiO(2)(110) surface is studied via a new method, the resonant photoelectron diffraction. The diffraction pattern from the defect state, excited at the Ti-2p-3d resonance, is analyzed in the forward scattering approach and on the basis of multiple scattering calculations. The defect charge is found to be shared by several surface and subsurface Ti sites with the dominant contribution on a specific subsurface site in agreement with density functional theory calculations.     

Subsurface defect characterization and laser-induced damage performance of fused silica optics polished with colloidal silica and ceria

This paper mainly focuses on the influence of colloidal silica polishing on the damage performance of fused silica optics. In this paper, nanometer sized colloidal silica and micron sized ceria are used to polish fused silica optics. The colloidal silica polished samples and ceria polished samples exhibit that the root-mean-squared(RMS) average surface roughness values are 0.7 nm and 1.0 nm, respectively. The subsurface defects and damage performance of the polished optics are analyzed and discussed. It is revealed that colloidal silica polishing will introduce much fewer absorptive contaminant elements and subsurface damages especially no trailing indentation fracture. The 355-nm laser damage test reveals that each of the fused silica samples polished with colloidal silica has a much higher damage threshold and lower damage density than ceria polished samples. Colloidal silica polishing is potential in manufacturing high power laser optics.     

低亚表面损伤石英光学基底的加工和检测技术

制备低亚表面损伤的超光滑光学基底,是获得高损伤阈值薄膜的前提条件。针对石英材料在不同加工工序中引入亚表面损伤层的差异,首先利用共焦显微成像结合光散射的层析扫描技术,对W10和W5牌号SiC磨料研磨后的亚表面缺陷进行了检测,讨论了缺陷尺寸与散射信号强度、磨料粒径与损伤层深度间的对应关系;同时,采用化学腐蚀处理技术对抛光后样品的亚表面形貌进行了刻蚀研究,分析了化学反应生成物和亚表面缺陷对刻蚀速率的影响、不同深度下亚表面缺陷的分布特征,以及均方根粗糙度与刻蚀深度间的联系。根据各道加工工艺的不同采用了相应的亚表面检测技术,由此来确定下一道加工工序,合理的去除深度,最终获得了极低亚表面损伤的超光滑光学基底。     

横向划痕对光场调制的近场模拟

熔石英亚表面划痕对入射激光的近场调制是导致光学元件低阈值损伤的主要因素之一. 用三维时域有限差分方法研究了连续横向划痕的近场分布, 对比了尖锐截面与光滑截面场调制的差异, 着重探讨了光场调制与划痕宽深比R的关系. 研究表明: 酸蚀后的光滑截面有助于减弱近场调制, 这类划痕的R>10.0时调制较弱且相互接近, R<5.0时调制显著增强. 当R取1---3时, 亚表面的调制达最大值, 最大电场幅值为入射波幅值的4.3倍. 当R取1.0---3.5时, 缺陷附近有80%以上取样点的最大电场幅值超过入射波幅值的2倍. 随着深度的增大, 强场区具有明显的"趋肤效应": 位于划痕正下方的强场区首先往左右两侧移动, 然后移向抛物口界面以及水平界面, 同时衍生出的多条增强线诱导整个亚表面层的光场增强.     

Correlation of polishing-induced shallow subsurface damages with laser-induced gray haze damages in fused silica optics

Laser-induced damage in fused silica optics greatly restricts the performances of laser facilities. Gray haze damage,which is always initiated on ceria polished optics, is one of the most important damage morphologies in fused silica optics.In this paper, the laser-induced gray haze damages of four fused silica samples polished with CeO_2, Al_2O_3, ZrO_2, and colloidal silica slurries are investigated. Four samples all present gray haze damages with much different damage densities.Then, the polishing-induced contaminant and subsurface damages in four samples are analyzed. The results reveal that the gray haze damages could be initiated on the samples without Ce contaminant and are inclined to show a tight correlation with the shallow subsurface damages.     

光纤熔锥耦合器的声光调制特性

对光纤熔锥方向耦合器的声光强度调特性进行了实验研究,得到了工作波长为1310nm、声波频率为20.19kHz,电驱动功率为2.6mW,插入损耗为0.5dB,调制深度为64％的声光强度调制特性。     

飞秒脉冲在熔石英玻璃中超连续谱产生的研究

从非线性薛定谔方程出发,利用分步傅里叶方法,研究了时空耦合飞秒脉冲在熔石英玻璃中传输时,传输距离、入射激光脉冲峰值功率、衍射、色散和非线性等因素对超连续谱产生的影响。结果表明,飞秒脉冲在熔石英玻璃中传输时,超连续谱的产生主要分为两阶段：由材料的自聚焦等三阶非线性效应引起的脉冲压缩阶段及由自相位调制和材料群速度色散引起脉冲分裂阶段。当高峰值功率的飞秒脉冲在熔石英玻璃中传输时,材料的三阶非线性效应抑制衍射效应,引起脉冲压缩,从而产生子脉冲,由此引入新的频率成分。同时,还研究了同一脉冲不同横向空间位置处的超连续谱的变化规律,在中心频率两侧均有新频率产生。最后,通过实验证实了超连续谱的产生。