查询词典 modified bessel function

The mutual connection that analyses Bessel beam of light and Bessel-Gauss beam of light theoretically reachs distinction, beam of light of Bessel of numeric imitate ideal and Bessel-Gauss beam of light are in the radial light intensity of aleatoric plane distributings, and the influence that smooth waist radius and syntonic antrum antrum grow pair of output Bessel-Gauss beam of light.

梗概： 理论分析Bessel光束和Bessel-Gauss光束的相互联系及区别，数值模拟理想Bessel光束和Bessel-Gauss光束在任意平面的径向光强分布，以及光腰半径和谐振腔腔长对输出Bessel-Gauss光束的影响。

In chapter 3, the author considers that approximate value of Bessel fuctions and transcendental equations are main ob stacle to realize computer simulation for isolated well principle. The character of Bessel functions are studied, new approximate values of Bessel function are set forth.

第3章中，针对"割离井法"微机实现的难点——贝塞尔函数的渐近计算和超越方程的合理求解，研究了贝塞尔函数的性质，提出了新的贝塞尔函数的渐近式，并采用ZEROIN法完成了超越方程的求解，最后编制出新的"割离井法"计算程序。

In chapter 3, the author considers that approximate value of Bessel fuctions and transcendental equations are main ob stacle to realize computer simulation for isolated well principle. The character of Bessel functions are studied, new approximate values of Bessel function are set forth.

第3章中，针对&割离井法&微机实现的难点——贝塞尔函数的渐近计算和超越方程的合理求解，研究了贝塞尔函数的性质，提出了新的贝塞尔函数的渐近式，并采用ZEROIN法完成了超越方程的求解，最后编制出新的&割离井法&计算程序。

The lens axicon is based on the use of the spherical aberration of the mirror surfaces,which is inexpensive and easy to manufacture into a element with large apertures as compared with diffractive axicons,refractive cone axicons,and earlier lens axicons with aspheric surfaces;the opaque disk can offer the Bessel beams with long non-diffracting distances,and the diameter of the central peak is adjusted by choosing the focal length of the collimating lens;the tunable fluidic conical lens is a new device for generating Bessel beams,which can obtain the Bessel beams with different parameters by varying the refractive indexes of the solution which is filled in the device.

双透镜轴棱锥法主要基于透镜球面像差的运用，与衍射轴棱锥、折射轴棱锥和早期的非球面轴棱锥相比，具有加工简单、便宜，易于制作大尺寸的特点；不透明障碍物法得到的贝塞尔光束具有很长的无衍射距离，其直径可通过选择不同焦距的准直透镜来得到调节；可调流体轴棱锥是一种产生贝塞尔光束的新型器件，它可以很容易地通过改变注入器件的液体的折射率来得到不同参量的贝塞尔光束。

The longitudinal component of electromagnetic wave propagating in fiber can be expressed by Based function or the modified Bessel function of second kind. Based on this principle, we put forward a simple method for generating a Bessel beam with glass capillary and focusing lens.

对光纤中传播的电磁场分析发现，其纵向分量可以用贝塞耳函数及第二类变态贝塞耳函数来描述，据此，提出一种利用玻璃毛细管和聚焦透镜实现贝塞尔光束的简易方法。

Effects of dry temperature and dry time on properties of heat cured sand and the relationship with binder composition are as follows:sands bonded by binders that are not modified have high strength when dry temperature is high and dry time is long,but their anti-wettability power is poor . Sands bonded by binders that are modified by B but not modified by M can be dried quickly and sand strength is high but anti-wettability power is also poor. Sands bonded by binders that are modified by M but not modified by B can also be dried quickly to obtain maximum strength,then the strength becomes lower when they are dried continually for more time. and sand strength is high but anti-wettability power is also poor. Sands bonded by binders that are modified by M as well as by B at the same time can be dried quickly to obtain maximum strength at low temperature and short time. But the anti-wettability of sand mold is best when they are dried at high temperature and long time.

烘干温度和烘干时间对热硬砂性能的影响及其与粘结剂改性的关系是：未经改性剂B和改性剂M改性的粘结剂砂，脱水速度较慢，烘干温度越高，时间越长，则硬化强度也越高，但未经改性的粘结剂热硬砂的抗吸湿性较差；经改性剂B而不经改性剂M改性的粘结剂热硬砂，烘干硬化速度较快，强度也高，但在高湿度下的抗吸湿性不好；经改性剂M改性而不经改性剂B改性的粘结剂热硬砂，烘干时强度先随烘干时间升高至最大值后，继续烘干时强度又出现下降；经改性剂B和经改性剂M共同改性的粘结剂热硬砂能在短时间和较低的烘干温度下就可烘干到最高强度，即烘干脱水的速度较快，但试样的抗吸湿性差，若在更高温度和更长时间下烘干，试样的抗吸湿性得到改善，综合考虑烘干强度和抗吸湿性要求，对于φ30×30mm试样，理想的烘干温度是200℃，烘干时间20分钟。

Three types of base asphalt and six SBS were used to produce SBS modified asphalt. The interaction of SBS modified asphalt was discussed in different states between the base asphalt and SBS based on their compositions. Through the traditional tests, such as penetration, soften point and ductility, and US SHRP tests, the results indicated that influences to affect the temperature susceptibility, high and low temperature performance, aging characteristics are base asphalt, SBS types and their dosages. The functions of penetration to viscosity and complex shear modulus G~* to complex dynamic shear viscosity η~* were set up, and then theviscosity-temperature susceptibility of wide temperature span and the calculation method of low temperature viscosity were obtained."Process" evaluation criterions, high grading critical temperature T_ and low grading criticaltemperature T_ , were suggested according to the high and low temperatureperformances of SBS modified asphalt. Using the experience of Repeated Creep and Recovery Test for Binders, a new high-temperature evaluation index,modification rutting factor G~*~(-9) was obtained. The results after RTFO and PAV aging indicated that traditional tests didnt differentiate base asphalt and SBS modified asphalt, but dynamic mechanics temperature spectrum and G*-5 black chart clearly reflected the influence of aging to the SBS modified asphalt. With the IR and GPC tests, the reason of aging to the SBS modified asphalt were due to asphalt phase oxygenated and SBS phase depredated.

论文选择3种油源的基质沥青和6种SBS改性剂制备改性沥青，通过分析基质沥青和SBS改性剂的组成结构特点，得出了不同状态下SBS改性沥青的SBS与基质沥青的相互作用机理；通过针入度、软化点、延度等常规试验以及美国SHRP试验，分析了基质沥青、SBS改性剂类型与剂量对SBS改性沥青的温度敏感性、高低温特性及老化特性的影响；建立了针入度-粘度、复数模量G~*-复数粘度η~*的换算关系，得出了宽温度域的粘温指数VTS和较低温度下粘度的计算方法；通过高低温性能分析提出了&过程&评价参数高温等级温度T_和低温等级温度T_；借鉴重复恢复与蠕变试验研究成果，得到了SBS改性沥青高温评价指标改进型抗车辙因子G~*~(-9)；RTFO和PAV老化后的性能试验结果表明，常规试验难以区分SBS改性沥青与基质沥青的差异，而动态力学温度谱、G~*-δ黑斑图可以反映老化作用对SBS改性沥青的影响，且通过IR试验和GPC试验得出SBS改性沥青老化是沥青相的氧化和SBS的降解共同引起的；通过不同温度下SBS改性沥青混合料的旋转压实SGC试验，根据粘度与剪变率的关系，提出用剪变率60(1／s)测试SBS改性沥青的粘温曲线，并按照0.17±0.02Pa.s和0.28±0.03Pa.s确定施工温度。

Main -cassava starch Hanmei special starch powder candy fillings wrapped with modified starch powder used cationic modified starch paper surface sizing starch paper coating starch dedicated Wet add starch layers dedicated spray starch dedicated plasterboard dedicated starch re-wet adhesive tape with exclusive -starch tapioca starch Hanmei dedicated powder candy fillings wrapped with modified starch powder used cationic modified starch paper surface sizing starch paper coating starch dedicated dedicated add in Wet starch layer dedicated inter-spray starch starch gypsum board dedicated re-wet adhesive tape with exclusive -starch tapioca starch Hanmei dedicated powder candy fillings wrapped with Modified Starch Modified Starch powder with cationic surface sizing starch paper coating special paper made of starch wet end of paper to add a dedicated starch

公司朝着管理严谨，经营有序的现代化企业的方向前进。

Code of drawing a map in Bessel Newmann function, WINDOWSthe generalized Bessel equation and the Hankel function.

并利用球Bessel函数与半奇数阶Bessel函数的关系计算了本征函数的模方。

In the fiber cladding and core, the optical fields are represented by the sum of the Bessel and modified Bessel functions, respectively. In the polymer and metal, the optical fields are written to the sum of the exponential functions.

针对热极化光纤的特点，本论文完成了以下理论分析和实验工作： 1、首次利用圆波导模型和标量近似理论对具有复杂几何结构的极化D型光纤的传输特性进行了理论分析。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了