查询词典 Fermat's principle

Refraction regularity of extraordinary ray in uniaxial crystal with arbitrarily oriented optical axis;2. In the case of optical axis of uniaxial crystal being parallel with the incident plane, the angle of refraction of extraordinary ray are calculated by using Fermat's principle.

在单轴晶体的光轴与入射面平行的情形下用费马原理计算非寻常光光线的折射角，然后就怎样定义非寻常光作些讨论，最后在单轴晶体的光轴任意取向的普遍情形下给出计算非寻常光光线折射方向的公式。

When propagating light\|ray passes through two fixed points in the gradient index mediums and a cuspidal variable\|point （at this point the trace equation of propagating light\|ray is non\|differentiable） at the borderline of two different GRIN mediums, the mathematical relationship, which the trace equation of propagating light\|ray and borderline equation of two different GRIN mediums should satisfy, is derived by the Fermat's principle and calculus of variation.

当光线通过梯度折射率介质中两个固定点和两个GRIN介质界线上的可动尖点（光线轨迹方程的不可微点）时，由费马原理和变分法运算推得传输光线的轨迹方程与两种不同GRIN介质的界线方程应满足的微分关系式。

In this paper, the analytical formulations for every reflection point's Z coordinate are deduced by using Fermat's principle and law of reflection in the system of cylinder and cone.

以圆柱和圆锥二阶系统的反射寻迹为例，结合费马原理和反射定律，推导出各反射点Z坐标的解析表达式，从而减少了寻迹方程中未知数个数，使计算时间显著缩短，也提高了结果精度，文中给出了应用实例。

The main contents include the ray phenomenon and its generation conditions; the deduction and physical illumination of wave action conservation equation and wave number conservation equation; ray theory for sinusoidal waves; Fermat's principle; the variation of amplitude in the case of straight and parallel depth contours and circular depth contours; the amplitude near the caustics; wave trapping; deduction of mild-slope equation and the relevant numerical solution methods.

讲授折射现象及其发生的条件；波作用守恒方程和波数守恒方程的推导及物理解释；稳恒正弦波的控制方程及射线方程；费马原理；利用射线方程研究等深线是平行直线和圆周线时波振幅的变化，特别是焦散线附近波高的变化以及由此而产生的波的俘获；缓坡方程的推导及有关的数值求解方法。

Snell's law follows from Fermat's principle.

斯奈尔定律遵从费马原理。

A general formula for three dimensional refraction of progressive gravity water waves has been derived using the conservation of waves, which has a form the same as that derived using Fermat's principle in optics. For the case of gentle sloping plane beach the formula can be degenerated into the famous Snell's law.

三度空间中前进波浪的折射现象，已依波浪守衡性的本质简明地导述出其主控的通式，且与由较繁冗的光学之Fermat原则所得者完全一致；而最简单的均匀缓坡度底床的特例情况则退化成Snell定律者。

The Fermat"s principle, Fresnel"s coefficients, Goos-Hanchen effect and Brewster angle at an interface between a PIM and a NIM were studied respectively. When the NIMs are introduced, the two traditional descriptions of Fermats principle are not consistent with each other and the least time principle do not hold true anymore.

随着负折射率介质的引入通过对费马原理的两种传统描述形式的研究可以发现，正—负折射率介质平界面处的最短时间原理已不成立，并进一步验证了使用光程表达的费马原理才是严格的正确的理论。

Fermat's principle is not so much a computational device as it is a concise way of thinking about the propagation of light.

费马原理更多的是对光的传播的一种简明看法，而不是一种计算工具。

The path which a seismic ray takes according to Fermat's principle.

最短时程：满足费马原理的地震射线路径。

In this paper, two-point ray tracing is studied for three-dimensional arbitrary interface. from Fermat's principle, traveltime is expanded in the initial ray path according to one order Taylor's incompletion expansion. Then, the algorithm of total iterative ray tracing in three dimension is derived.

作者在文中对三维任意界面情况下的两点间射线追踪问题进行了研究，从Fermat原理出发，对射线路径上的旅行时，采用一阶Taylor不完全展开等办法，推出了三维情况下计算射线路径的整体迭代算法。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。