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The main works include: In this thesis, we use Finite Difference Time Domain method to study the relationship between diffraction efficiency, angular dispersion and grating constant, to discuss how the grating figure influence the diffraction efficiency, and to research the frequency spectrum characteristic.

主要工作包括:本文分别在垂直入射和自准直入射(光垂直于光栅刻槽面入射)情况下,采用时域有限差分方法,利用商业数值计算软件OptiFDTD对二维闪耀光栅进行了矢量电磁场数值计算,研究了光栅的衍射效率和角色散随光栅常数的变化情况,研究了光栅形状对光栅衍射效率的影响,还讨论了各种光栅的频谱特性。

In order to testify our whether correction to Rossi's exchange term andthe potential of electron and nucleus is reasonable, we calculate 〓 moleculeelastic differential scattering cross section by electron impact on 100eV, ourresult is obviously better than Rossi's. Then we calculate elastic differentialscattering cross section at 150eV. In order to check the program thatcalculates molecule excitation cross section by electron impact, we calculatehydrogen excitation cross section from ground state to 〓 state at 20eVand 30eV, oxygen excitation cross section from ground state to 〓 state at15eV and 20eV. These calculations are in agreement with other theoreticresults, and experiment measure. Finally, we calculate sulfur moleculeexcitation〓 cross section by electron impact at5eV,7eV,9eV, 11eV, 13eV,15eV, and draw curve of excitation total crosssection corresponding to incident electron energy.

为了核对我们修改的计算激发态的程序是否正确,计算了电子与氢分子碰撞从基态激发到〓态入射能量分别为20eV和30eV时的微分截面以及电子与氧分子碰撞从基态激发到〓态入射能量分别为15eV和20eV时的微分截面,与别人的理论计算结果、实验的测量值基本一致,最后计算了电子与硫分子在5eV、7eV、9eV、11eV、13eV、15eV时的碰撞激发〓截面,作出了电子的入射能量与激发总截面的关系曲线,找出了总截面最大时对应的电子入射能量大约是11电子伏。

Then with the relations between the output of interface 1 and the input of interface 2, double refraction and/or double internal reflection in a crystal along two successive interfaces can be calculated.

在惠更斯定理的基础上,对从空气到晶体的折射、从晶体到空气的折射、近光轴入射的晶体全内反射和近光轴反射的晶体全内反射这四种单个界面上的双折射双反射情况,给出了同时适用于o光和e光的光线方向和光波法线方向的普遍公式。

According to the boundary relations of the electromagnetic field, and based on the phenomena of double refraction and double reflection in crystals, the reflectivity and transmissivity are deduced at boundary when an extraordinary beam is incident from an isotropic medium upon a crystal or from a crystal to an isotropic medium with optical ax.

为分析非常偏振光在晶体表面的能量损耗,给出一种求解反射率和透射率的方法,即根据电磁场的边值关系以及晶体的双折射和双反射现象,求解晶体光轴在入射面内时,非常偏振光从各向同性介质入射到晶体和从晶体出射到各向同性介质两种情况的反射率和透射率的方法,并给出反射率和透射率的解析解,同时得到对于晶体光轴在入射面内的情况,光轴的取向对非常偏振光反射率的大小几乎没有影响,但对产生全反射的临界角θc影响较大的结论。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型:1 根据造波板做椭圆余弦运动或正弦运动速度,推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件,数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确;2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解,讨论了该解析解的适用范围;3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用;4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

The result indicates that the output power oscillates and weakens along with increasing input power,and its oscillation period depends on the distance between the medium and beam focal point.Limiter′s limiting ability will decrease if waist size of the incident Gaussian beam and the aperture size increase.With a fixed input power scope,medium′s best limiting position will move towards the focal point if waist size of Gaussian beam and the aperture size increase,but the best limiting position will change a lot with different input power scopes.

结果表明:限幅器的出射功率随入射功率的增加衰减振荡,其振荡周期取决于介质相对于光束焦点的位置;限幅器的限幅能力随入射光束腰半径和光阑孔径的变大而减弱;入射功率范围固定,入射光束腰半径和光阑孔径增大时,介质的最佳限幅位置向入射光束的焦点靠近,但是在某些入射功率范围内会存在多个最佳限幅位置;光限幅器的箝位输出功率随光阑线性透过率的增加存在线性增加和非线性增加两个不同区域,实际应用中应在线性增加区域确定光阑孔径的大小。

Luneberg lens is a spherical lens which its permittivity varies with normalized radial coordinates. It is fabricated by using different homogeneous dielectric centrically layered media. The lens can focus a parallel beam of rays from any direction exactly at a point on the surface. If it is made by adding a reflecting surface "metallic cap", it is called Luneberg lens reflector. It can reflect incident wave into plane wave in incoming direction. It is usually applied in antenna, radar reflector,satellite-based, and mobile-communucation.

龙伯球透镜为一种介电系数与半径成一固定比例的球形透镜,大部分是由数层不同介电系数介电质组合而成,而其主要特性能够把入射波聚焦到球表面一点,假使在透镜表面处镀上一圆锥角金属层即为龙伯球透镜反射器,能把入射波依平面波的型态反射回原入射端,通常用於天线、雷达、卫星通讯、军事等方面。

Results show that amplitude of displacement excited by vertical incidence wave is larger than that excited by inclined incidence wave and not influenced greatly by the incidence angle. In vertical incidence, amplitudes of displacement of two points at the same altitude along each cavern are basically identical and maximum relative displacement occurs between top and bottom point of the cavern. While in the case of inclined incidence, displacement amplitude on sides meeting the wave is larger than that on leed sides, and maximum relative displacement occurs on left skewback and bottom of the cavern.

结果表明,位移幅值受入射角度的影响不敏感,竖直入射比斜入射情况要大;竖直入射时,各洞室两侧同一高程处的位移幅值基本相同,相对位移差最大部位为洞顶与洞底,而斜入射时迎波面比背波面一侧位移大,且相对位移差最大部位为洞室迎波面的左拱座与洞底。

When infrared ray irradiates to the surface of material and radiating frequency is same as material molecular frequency, the radiating energy is strongly absorbed by the material.

红外辐射是辐射物体以电磁波的方式传播内能的过程,当红外线照射到某一物体时,如果入射的红外线频率和物体分子固有频率相一致,则物质分子就会表现出对红外线的强烈吸收,吸收的那一部分能量就转化为分子的热运动,使物体温度升高,达到加热干燥的目的。

The influence of surface reflection to total absorbing performance is discussed and the corresponding theoretical formula are presented under the condition of generational matching law when electromagnetic wave irradiates on the coating absorbing material which takes metal as the base.

利用三维网格法讨论了电磁波垂直入射的情况,结果表明:涂层吸波材料的介电常数ε对表面反射的影响起主要作用,而磁导率μ的作用并不明显,即在考虑表面反射的优化设计中调节ε是主要的。

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