平行光栅对在刻线不平行时的色散研究

利用三维空间光线追迹法,分析了啁啾脉冲放大系统中的压缩光栅对,在刻线不平行而光栅面平行时光的衍射特性。导出了此时光通过光栅对的群延时,数值计算了系统2阶和3阶色散量,以及这些色散量在光栅对严格平行时的相对误差。得出了中心波长光的接收位置相对于光栅对严格平行时的偏移量,并且分析了它与入射角的变化关系。     

梯形透过率光栅远场光强分布及光栅方程的解析推导

二值化梯形透过率光栅是一种具有离轴衍射级次的二维光栅,其各衍射点光强信息和位置信息的确定对该新型光栅的实际应用具有重要意义。然而,目前尚无相关解析理论对其进行合理的描述。为了解决上述问题,通过二维傅里叶变换方法获得了该光栅各个衍射级次光强分布的解析表达式,并根据二维光栅的结构特征给出了在透射式和反射式情况下该光栅满足的光栅方程。这为该新型光栅的光线追迹计算打下了理论基础。最后,将解析表达式计算结果与采用X-Lab软件标量衍射模块计算的数值模拟结果进行比较,验证解析理论的正确性。     

梯形透过率光栅远场光强分布及光栅方程的解析推导

二值化梯形透过率光栅是一种具有离轴衍射级次的二维光栅,其各衍射点光强信息和位置信息的确定对该新型光栅的实际应用具有重要意义。然而,目前尚无相关解析理论对其进行合理的描述。为了解决上述问题,通过二维傅里叶变换方法获得了该光栅各个衍射级次光强分布的解析表达式,并根据二维光栅的结构特征给出了在透射式和反射式情况下该光栅满足的光栅方程。这为该新型光栅的光线追迹计算打下了理论基础。最后,将解析表达式计算结果与采用X-Lab软件标量衍射模块计算的数值模拟结果进行比较,验证解析理论的正确性。     

机械刻划光栅的光线追迹方法

为了评价光栅的光谱质量,完成所设计光栅的光线追迹,针对机械刻划光栅的光线追迹提出了一种改进方法.在费马原理的基础上利用光程函数法得到入射光通过光栅后的光谱分布情况,再使用传输矩阵的计算方法构造出光谱的点列图.该方法适用于刻划在平面、球面和非球面基坯上的等间距和变间距光栅,光栅的光谱面可以为平面或者二次曲面. 通过刻划在非球面基坯上的凹面光栅验证了光线追迹方法的可靠性.     

新型无象差展宽器色散量的光线追迹计算法

对无象差展宽器的结构进行了改进,利用光线追迹法计算了其色散量,分析了展宽结果与展宽器各参量的关系,数值模拟了飞秒脉冲的展宽过程,为该展宽器的优化设计与精细调节提供了依据.     

使用辅助光栅的平面变间距全息光栅加工理论研究

变间距全息光栅具有自聚焦和消像差功能,是高分辨率光谱仪与同步辐射单色器中的重要元件。研究了使用平面等间距光栅产生非球面波,记录平面变间距全息光栅的方法。根据几何光学的光线追迹理论,推导了光栅参量的四阶解析表达式。并基于费马原理,提出了记录光路的光线追迹数值算法。应用所推导的光栅参量四阶表达式,仿真设计了变间距全息光栅。通过合理选择记录参量,可以避免光栅基底受到零级及高阶衍射光场的影响。设计结果表明,理论光栅线密度与要求值相当符合;经光线追迹数值算法验证,解析表达式的展开误差在整个记录区域内小于1.5线;考虑到实际加工工艺允许误差,使用辅助光栅的记录光路对记录参量的误差并不敏感;设计实例证明了解析表达式的有效性,以及使用辅助光栅的记录光路的优越性。     

透射光栅两表面不平行对波长测量的影响

一、引言在用透射光栅测光波波长的实验中,当已调整好的分光计的载物台上放入光栅后,常可在望远镜中同时观察到两个一明一暗不相重合的叉丝像或十字像(图1,图中实线     

光栅压缩器中色散的矩阵计算

在ABCD矩阵基础上,通过引入角度色散项获得了可以方便描述色散系统的3×3阶矩阵.采用这种矩阵方程方便、准确地计算了标准光栅对压缩器中的二阶、三阶以及四阶色散,得到的结果与由常规积分法获得的结果相同.     

光栅面不平行对压缩脉冲时空特性的影响

 推导了光栅对压缩器两光栅在垂直于刻线的平面(衍射面)内有一夹角时1至4阶色散变化量的表达式,以及脉冲超高斯光束经光栅对压缩后的场分布。并据此模拟分析了光栅表面平行性失调对输出脉冲时空特性的影响。结果表明：脉冲光束单次通过光栅对时其波形会产生扭曲,光栅对的失调会使脉冲扭曲更加严重;而两次通过光栅对时横向谱移动的影响会消除,但脉冲将出现旁瓣,光栅对的失调使得脉冲在时间上提前,且色散阶数越高色散变化量对压缩脉冲时空特性的影响越大。     

OPCPA系统中光栅对不平行度对脉冲时间波形的影响

 利用光线追迹法和四阶龙格-库塔法分析了光参量啁啾脉冲放大系统中实际展宽器和压缩器所带来的各阶色散,并将其代入放大过程数值模拟了脉冲变化的情况,讨论了压缩器光栅对表面不平行、刻线不平行、信号光强度、泵浦光强度等因素对输出脉冲宽度和时间波形的影响。结果表明,光栅对表面不平行将引起脉冲宽度变大,且光栅顺时针旋转对脉冲宽度和波形影响更大。而光栅刻线不平行时,当仅考虑二阶色散时,夹角为0.8°时脉宽最小,考虑到三阶色散时,夹角为1°脉宽最小,且光栅顺时针和逆时针旋转对脉冲的作用相同。对实际OPCPA系统,当放大晶体材料及长度一定时,尽量调整压缩器光栅平行,信号光强度和泵浦光强度有一最佳值能使输出脉冲宽度达到最小。     

A comprehensive study of the chromatic dispersion measurement of the multi-channel fiber Bragg grating based on an asymmetrical Sagnac loop interferometer

A novel all-fiber asymmetrical Sagnac loop interferometer (ASLI) is proposed to measure the chromatic dispersion of a multi-channel fiber Bragg grating (FBG). Theoretical analyses to this proposed approach are presented in details. With this method, the chromatic dispersion and dispersion slope of a 51-channel FBG are simultaneously measured. The experimental results agree well with the ones obtained by using the general phase-shift method (PSM). This method has the advantages of simple configuration, low-cost, and high tolerance for the characteristics of FBG.     

Study of dispersions on grating-pair compressor in the case of unparallel grooves

In this paper, we analyze the diffraction characteristics of grating-pair compressor in a chirped-pulse amplification (CPA) laser system, under the conditions that the grating surfaces are parallel while the grating grooves are unparallel. The optical path length of pulse passing through this system is derived. Then the second-, third- and fourth-order dispersions are calculated. The resulting dispersion relative errors compared with that the grating grooves, which are strictly parallel are shown. The vertical spectrum displacement in the output pulse has been calculated and shown quantitatively as function of the angle between the grooves. The results also show that gratings with low groove density are superior to that of high density ones, if the groove misalignment is unavoidable.     

XPM-induced intensity distortion due to dispersion in fibre Bragg grating filters

We investigate the conversion of cross-phase modulation (XPM) to intensity distortion due to dispersion in fibre Bragg grating (FBG) filters. We find that there can be significant XPM-induced intensity distortion, especially near the edges of the filter passband where the in-band dispersion is increasingly pronounced. Since FBG filter dispersion occurs above and beyond that in standard single-mode fibre, this enhances XPM-induced intensity distortion arising from dispersion and should be accounted for in system design.     

Measurement of period difference in grating pair based on analysis of far-field intensity patterns

We propose and demonstrate an experimental method for measuring the period difference in grating pair. The method uses the compensating relationship between line-density difference and the Littrow-angle difference of gratings. Far-field intensity patterns of 0th- and −1st-orders diffraction beams are monitored for alignment during the angle measurement. For a pair of ∼0.676 μm period gratings, the relative period difference was measured to be 798.4 × 10⁻⁶ with a standard deviation of 2.0 × 10⁻⁶.     

有孔矩形腔屏蔽效能的传输线法分析

首先介绍了用传输线法（transmission line method,TLM）分析有孔矩形腔屏蔽效能的基本原理，然后将基本公式作进一步扩展，使其能计算圆孔、多孔洞以及在任意极化方向时的情形。仿真结果表明:当频率低于主谐振频率时，离孔缝越近，耦合进的电磁能量越大；当处于谐振频率时，屏蔽腔与孔形成共振，屏蔽效能很低甚至为负，而且腔体内任何空间都如此；屏蔽效能随极化角度的递增而递减，低频段的屏蔽比高频段要好；对于相同面积的孔洞，单孔洞的屏蔽效能比多孔洞的屏蔽效能要差，孔洞越多，屏蔽效果越好，而圆形孔（等同于方形孔）的屏蔽效果最好。     

Influence of uniaxial crystal material cladding on reflectivity and dispersion of uniform fiber Bragg grating

The fiber Bragg grating with cladding made of uniaxial crystal material whose optical axis is parallel to the axis of fiber Bragg grating proposed in the paper published in 2003 was investigated again and an error was corrected in the calculation, its effective index, reflectivity and dispersion were examined using coupled-mode theory and numeric solution. The calculated results indicate that no low frequency cutoff phenomenon exists in the HE₁₁ mode, more power is transmitted by the core of the fiber with cladding made of isotropic material, the reflectivity of the fiber Bragg grating with cladding made of uniaxial crystal material is much higher than that with cladding made of isotropic material, the parameter K_cl, i.e., the ratio of the extraordinary to the ordinary ray refractive index, has a stronger impact on the reflectivity, Bragg wavelength and the dispersion of this kind of fiber Bragg grating when it varied from 1.00 to 1.01 than in other regions. This means that the characteristics of the fiber Bragg grating with uniaxial crystal cladding can be changed through adjusting K_cl while keeping its length, periodicity and the other parameters as constants.