平面透射光栅的菲涅耳衍射

从标量场的菲涅耳衍射理论出发,研究了球面波入射平面透射光栅的衍射场,导出菲涅耳衍射场的复振幅分布,并得到光栅菲涅耳衍射角的计算公式．结果表明,在理想情况下菲涅耳衍射的每一级衍射波都是一个球面波;在对菲涅耳衍射角进行新的定义后,衍射角的计算仍然可以采用夫琅禾费衍射的光栅方程．     

菲涅耳-基尔霍夫积分与半波带法分析衍射光谱

惠更斯菲 涅耳原理指出光的衍射本质是无穷多次波的相干叠加.在研究衍射光谱的强度时可使用菲涅耳-基尔霍夫衍射积分进行计算,但该积分的计算较为复杂.为了简化计算而引入菲涅耳半波带的概念,把积分运算简化为振幅矢量的叠加,从而在研究衍射时由菲涅耳-基尔霍夫衍射积分过渡到菲涅耳半波带法.在菲涅耳半波带法中波前上相邻两个半波带到达叠加点的光程差为半个波长,从而导致相位差π.因此相邻两个半波带引起的振动在叠加点发生相消,最终叠加点的光强由发出次波的半波带数目的奇偶性决定.奇数个半波带在叠加点的光强得到加强,偶数个半波带在叠加点的光强发生相消.     

处理金属闪耀光栅的多次基尔霍夫积分法

在散射场「通过菲涅耳（Ｆｒｅｓｎｅｌ）反射系数决定于入射场」的边界条件铁定理及等效场原理的支持下,完善了金属闪耀光栅的多次基尔霍夫（Ｋｉｃｈｈｏｆｆ）积分方法;并以利特罗（Ｌｉｔｔｒｏｗ）安装及固定偏向角安装的理想金属导体闪耀光栅对不同波长平面电磁波衍射效率的计算实例,探讨了此方法的稳定性与自洽性。     

菲涅耳衍射公式误差相位的讨论

根据波动光学的理论,对菲涅耳近场衍射公式误差相位的影响进行了分析。以单缝衍射为例,讨论了误差相位与计算精度的联系。结合菲涅耳线波带片焦面光强分布的计算,对比了菲涅耳衍射公式与基尔霍夫衍射公式的计算结果,说明在不满足误差相位近似条件下使用菲涅耳衍射公式带来的影响。最后对影响波带片焦面光强分布的几个因素进行了讨论。     

平行单色光狭缝衍射的区域划分

利用基尔霍夫衍射公式通过数值计算绘制出理想狭缝在不同区域的衍射光强分布,并与菲涅耳衍射公式及夫朗禾费衍射公式的计算的结果比较,对基尔霍夫衍射公式、菲涅尔衍射公式和夫朗禾费衍射公式的适用范围做了详细的讨论.     

衍射效应诱导涡旋光束的偏振度变化

基于惠更斯-菲涅耳衍射原理以及部分相干光的相干与偏振的统一理论,研究了衍射效应诱导部分相干涡旋光束的偏振度变化.通过理论分析与数值计算表明,部分相干涡旋光束经圆孔衍射后偏振度将发生变化,在衍射场中光束的偏振度分布情况与入射光束的相干度、入射光束的拓扑电荷数、衍射孔径的大小等因素有关.     

关于菲涅耳衍射图样相似性的分析与讨论

与夫琅禾费衍射不同,菲涅耳衍射图样对于给定波长,当衍射距离变化或输入图像几何缩放时一般都不具有相似性.但我们的分析表明,若波长、衍射距离和输入图像几何线度诸参数满足一定关系,或对于某些特殊类型孔径,菲涅耳衍射图样有可能彼此相似.本文导出了在上述诸参数发生变化时菲涅耳衍射图样保持相似性的普适条件,以及此时衍射图样大小与诸参数的定量关系,并对包括圆孔衍射和直边衍射等情况都得到了一系列有价值的推论.     

波长漂移对菲涅尔透镜影响的严格矢量分析

为了严格分析入射光波长相对相位型菲涅尔透镜的设计波长发生漂移时对其聚焦特性的影响,采用时域有限差分方法作为严格的矢量分析工具,得到了相位型菲涅尔透镜的光焦度与入射光波长以及衍射效率与入射光波长的关系曲线。仿真结果表明：与标量理论结果类似,菲涅尔透镜光焦度随入射光波的增加总体呈线性上升趋势,衍射效率随入射光波长漂移时设计波长下降,且衍射效率低于标量理论分析结果。     

一种新型透射式自聚焦光栅的设计及理论研究

结合普通透射光栅的分光特性和菲涅耳波带片的聚焦特性,提出一种应用于软X射线波段的新型透射式自聚焦光栅。根据菲涅耳衍射理论,对其衍射特性进行理论推导,证明该新型光栅存在一个与光栅平面垂直的焦平面,不同波长的光波聚焦于该焦平面的不同位置。在焦平面上,焦点位置随光子能量的变化是线性的,即能实现光子能量的线性测量。通过解析推导,得到在沿着焦平面和垂直于焦平面两个方向上光斑的展宽模式,发现该新型光栅在沿着焦平面的光斑展宽模式不同于普通光栅。根据基尔霍夫衍射公式,设置实用化参数,对其衍射模式进行了详细的数值模拟研究,并讨论了相应的测谱范围和谱分辨率。     

基于二维矩形SiO2光子晶体光栅的研究

 为解决光学系统中普遍存在的菲涅耳反射问题,提高光的透射率,设计了一种二维矩形SiO2光子晶体结构光栅。采用勒让德多项式展开法对该结构在可见 近红外波长范围入射光波的透射率进行了模拟计算,寻找到了合适的占空比e、光栅深度h和基底厚度d,使得光栅的透射率在入射角为0～60°范围内、入射波长在400 nm～1 200 nm范围内变化时,其透射率的变化相对稳定,透射率的平均值可达到96%以上。     

Improving the Morphological Parameters of Aluminum Foam for Maximum Sound Absorption Coefficient using Genetic Algorithm

Fabricating of metal foams with desired morphological parameters including pore size, porosity and pore opening is possible now using sintering technology. Thus, if it is possible to determine the morphology of metal foam to absorb sound at a given frequency, and then fabricate it through sintering, it is expected to have optimized metal foams for the best sound absorption. Theoretical sound absorption models such as Lu model describe the relationship between morphological parameters and the sound absorption coefficient. In this study, the Lu model was used to optimize the morphological parameters of Aluminum metal foam for the best sound absorption coefficient. For this purpose, the Lu model was numerically solved using written codes in MATLAB software. After validating the proposed codes with benchmark data, the genetic algorithm (GA) was applied to optimize the affecting morphological parameters on the sound absorption coefficient. The optimization was carried out for the thicknesses of 5 mm to 40 mm at the sound frequency range of 250 Hz–8000 Hz. The optimized parameters ranged from 50% to 95% for porosity, 0.1 mm to 4.5 mm for pore size, and 0.07 mm to 0.6 mm for pore opening size. The result of this study was applied to fabricate the desired Aluminum metal foams for the best sound absorption. The novel approach applied in this study, is expected to be successfully applied in for best sound absorption in desired frequencies.     

Morphology and Pore Size Distribution of Biocompatible Interconnected Porous Poly(L-lactic acid) Foams with Nanofibrous Structure Prepared by Thermally Induced Liquid–Liquid Phase Separation

Biocompatible, highly interconnected microporous poly(L-lactic acid) (PLLA) foams with nanofibrous structure, containing pores with average diameter below 1 μm and fibers with diameters of 10² nm scale, were prepared through the thermally induced liquid–liquid phase separation (TIPS) method consisting of quenching of the PLLA solution, freeze extraction with ethanol, and vacuum drying. Diverse foam morphologies were obtained by systematically changing parameters involved in the TIPS process, such as polymer concentration, solvent composition, and quenching temperatures. The morphology of different foams was examined by scanning electron microscopy to characterize the pore size and the pore size distribution. The results showed that most porous foams had a nanofibrous structure with interconnected open pores. In the case of using tetrahydrofuran (THF) as solvent, the higher the PLLA concentration, the smaller the average pore diameter and the narrower the pore size distribution. In the case of using the mixed solvents of THF/DOX (1,4-dioxane) with higher than 6/4 volume ratio, there appeared a maximum value of average pore diameter and a widest pore size distribution at 0.09 g/mL PLLA concentration. The average pore diameter of the foams increased with increasing DOX content in the mixed solvent and ranged from 0.2 to 0.9 μm depending on the process parameters. When the DOX content reached 60% by volume, the morphology of the foams contained some large closed pores with diameter ranging from 1 to 10 μm. By decreasing the quenching temperature, the average pore diameter of foams decreased and the pore size distribution became narrower. All the pore size distribution fit F-distribution equations.     

低密度三羟甲基丙烷三丙烯酸酯泡沫的研制

 以三羟甲基丙烷三丙烯酸酯（TMPTA）为原料,结合紫外光固化及冷冻干燥工艺,成功制备了密度在4～20 mg/cm³、可自支撑的TMPTA泡沫柱。试验研究发现,泡沫的收缩导致实际密度与理论密度的比值大于1,且随理论密度的增加而减小;热失重测试表明泡沫的热分解温度达到290 ℃;SEM测量表明泡沫具有均匀、开放的网络结构。压汞仪测试表明泡沫的孔径主要分布在3.0～7.5 mm之间,平均孔径为7.37 mm。TMPTA泡沫柱已成功地应用于近年的Z箍缩物理试验中。     

Sound absorption of cellular metals with semiopen cells

A combined experimental and theoretical study is presented for the feasibility of using aluminum foams with semiopen cells for sound-absorption applications. The foams are processed via negative-pressure infiltration, using a preform consisting of water-soluble spherical particles. An analytical model is developed to quantify the dependence of pore connectivity on processing parameters, including infiltration pressure, particle size, wetting angle, and surface tension of molten alloy. Normal sound-absorption coefficient and static flow resistance are measured for samples having different porosity, pore size, and pore opening. A theory is developed for idealized semiopen metallic foams, with a regular hexagonal hollow prism having one circular aperture on each of its eight surfaces as the unit cell. The theory is built upon the acoustic impedance of the circular apertures (orifices) and cylindrical cavities due to viscous effects, and the principle of electroacoustic analogy. The predicted sound-absorption coefficients are compared with those measured. To help select processing parameters for producing semiopen metallic foams with desirable sound-absorbing properties, emphasis is placed on revealing the correlation between sound absorption and morphological parameters such as pore size, pore opening, and porosity.     

低密度聚亚胺酮泡沫的制备

确定了以1,4-二氧六环为溶剂体系,经热致相分离和冷冻干燥技术制备了低密度聚亚胺酮泡沫,分析了其质量浓度对泡沫密度的影响,结果显示:泡沫实验密度与聚合物浓度有较好的线性关系,可实现对泡沫密度的有效控制。差示扫描量热法、热重法等热性能测试结果表明:聚亚胺酮泡沫材料的热分解行为与本体材料一致,但玻璃化温度较本体材料玻璃化温度高。泡沫孔结构测试结果表明:随着密度的增加,平均孔径有降低的趋势,孔径分布趋于单一化。对其力学性能进行分析可知:所制备的泡沫硬而强,具有较高的模量和抗压强度,断裂压缩随密度增加而增加。随着泡沫密度的增加,其破坏形变随之增加。     

低密度PMP聚合物泡沫成型控制

为了进一步提高低密度聚-4-甲基-1-戊烯（PMP）聚合物泡沫的成型性能,满足惯性约束聚变物理实验的需求,采用热诱导倒相法结合原位成型和机械加工来进行低密度PMP聚合物泡沫的成型控制研究。 研究结果表明:在热诱导倒相法制备过程中,聚合物溶液形成凝胶后施加气压,再将其在加压状态下在液氮中淬火,可以大大减少得到的PMP/溶剂混合体中大的孔洞,提高其强度,并且在溶剂脱除后PMP泡沫收缩变小,微观结构更加均匀, 孔径更加细小。采用原位成型和机械加工的方法,可以实现低密度PMP聚合物泡沫的精密成型控制。     

金掺杂PMP泡沫的制备与表征

以聚-4-甲基-1-戊烯(PMP)为泡沫骨架材料,金颗粒为掺杂材料,均四甲苯与萘为混合溶剂体系,通过热诱导倒相技术制备出金掺杂低密度聚合物泡沫。实验结果表明:在金含量不变的情况下,掺杂泡沫的实际密度与理论密度呈线性关系;在理论密度不变的情况下,掺杂泡沫的实际密度随掺杂质量分数的增加趋近于理论值;金实际掺杂质量分数低于理论掺杂质量分数;掺杂泡沫与纯PMP泡沫具有类似的孔洞结构,随掺杂质量分数的增加泡沫的孔洞直径分布变宽且网络骨架尺寸有变大的趋势。     

铁掺杂PMP泡沫制备工艺研究

 以聚-4-甲基-1-戊烯为泡沫骨架，二茂铁为掺杂材料，通过热诱导倒相技术制备出铁掺杂聚合物泡沫。掺杂泡沫的实际密度均高于理论密度，且沿轴向从上至下逐渐增大。在理论密度不变的情况下，掺杂泡沫实际密度随掺杂元素原子百分含量的升高而呈降低趋势。与PMP泡沫相比，掺杂泡沫的孔洞直径分布变宽且网络骨架尺寸有变大的趋势。     

Air Flow in Aluminum Foam: Heat Transfer and Pressure Drops Measurements

Abstract

Metal foams are cellular structure materials that present open cells, randomly oriented and mostly homogeneous in size and shape. Cellular structure materials, and particularly open-cell metal foams, have been proposed as possible substitutes for traditional finned surfaces in electronics cooling applications. This article presents the heat transfer and pressure drops measurements obtained during air flow through an aluminum foam, which has 40 pores per inch with 0.63 mm pore diameter. The specimen has been inserted in a new open-circuit type wind channel with a rectangular cross-section that has recently been built at the Department of Fisica Tecnica of the University of Padova. The experimental heat transfer coefficients and pressure drops have been collected by varying the air flow rate supplied by the screw compressor that provides a variable volumetric air flow ranging between 0–90 m³h^?1 at a constant gauge pressure of 7 bar. The specific heat flux has been simulated by powering with a 25-kWm^?2 copper heater attached at the bottom of the aluminum foam base plate. The experimental results are reported in terms of heat transfer coefficients, mean normalized wall temperatures, and pressure drops.