Cylindrical Fold Study of a Large In-Space Deployable Membrane Parabolic Reflector; Analytical Formulas for Reflected Ray Tracing on Elliptic Cylinder based on the Fermat Principle 薄膜抛物面反射器的圆柱式折叠研究
Fermat's principle is not so much a computational device as it is a concise way of thinking about the propagation of light. Another Mathematic Method to Prove Fermi Theory about the Travel of Light at the Highest or the Lowest Speed; 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。
It is a special and important conclusion of the propagation of light in the uniaxial crystal. In the paper, two analytic methods to prove this conclusion are given respectively from Huygens principle and Fermat's principle. 这是单轴晶体里光传播的特殊而重要的结论,本文拟对此结论分别从惠更斯原理和费马原理出发,给出两种解析证明。
Based on Fermat's principle, the paper uses full-path iterative algorithm to realize 3-D VSP two-point ray tracing in volume element model. 本文基于费马原理,利用全路径迭代算法实现体元模型中的三维VSP两点射线追踪。
THE ION OPTICAL PROPERTIES AND SECOND ORDER ABERRATION OF THE CROSSED TOROIDAL ELECTRIC AND INHOMOGENEOUS MAGNETIC FIELDS AS A MASS SPECTROMETER By means of Fermat's principle, the equations of ion trajectory are derived. 运用变分原理(费马原理)给出离子轨迹方程,分析了这种普遍的重叠场作为质谱分析器的离子光学性质及其二级象差。
The refraction formulas obtained of e rays are proved to related to the law of the refraction of the e wave normals, which shows the Fermat's principle is intrinsically consistent with the electromagnetic wave theory of light. 最后讨论了e光线的折射公式与e光波法线的折射定律的等价性,从而说明Fermat原理与光的电磁波理论存在内在的一致性。
The two point ray tracing is based on the Snell theory and the Fermat 'minimum travel time principle', which advantages is that it can calculate the accurate ray path from the source to the receiver. 两点射线追踪主要是通过Snell定理和费马最小时间原理确定激发点和接收点之间精确的射线路径。其优点是能够精确得出反射点的位置。
By means of Fermat's principle general aberration formulae for the combined system have been derived. 运用变分原理(费马原理)计算了三级象差,得出了复合系统普遍的象差公式。
Based on Fermat's principle, an optical lens which consist of a rotary ellipsoid and a sphere is designed so that a certain width of parallel light beam will focus at a point exactly. 根据费马原理,设想出一个由旋转椭球面与半径等于椭球短半轴的球面组成的透镜,使具有一定宽度的平行光束通过透镜后聚焦。
On propagating of light in gradient index medium, two correlative expressions between equation of light rays and medium refractive indexes are derived from geometrical optics and Fermat principle, which are different and dependent on each other differential equation. 本文从几何光学光线的观点结合Fermat原理,借助高等数学工具,推出光线在变折射率媒质中传播时,光线方程与折射率相互依存的两个不同的微分方程式。
Application of Fermat's principle is developed to solve several practical problems, for example, the least time and the optimum route, the least cost. 费马原理是几何光学中的一个基本原理。将费马原理加以拓宽,可以解决诸如“最省时”、“最佳路线”和“最省费用”等一类实际问题。
Analytical formulas for reflection ray tracing on the cylinder and cone base on the Fermat principle 费马原理确定柱面和锥面反射点的解析表示式
In this paper, we have deduced the TM mode dispersion equations of the multi-channel waveguide and the multi-quantum well optical waveguides by using this method. OPTICAL PATH, FERMAT'S PRINCIPLE AND INTERMODAL DISPERSION 该文利用转移矩阵方法导出了多沟道波导和多量子阱波导的TM模式色散方程.光程、费马原理和光纤的模式色散
Fermat's Principle, Laws of Geometrical Optics and Light Propagation in Medium with Graded Refractive Index 费马原理、几何光学定律与光线在折射率渐变媒质中的传播
A Probe into Fermat's Principle and the Extreme Value of Motility 费马原理与运动性最值问题探讨
According to Fermat principle and variations, the differential equations of ray path have been strictly deduced and solved, and the ray path of any incident directions at any point of incidence can be calculated accurately. 本文依据费马原理结合变分法,对柱面分层介质中的射线方程进行了严格推导和求解,实现了对任意角度入射到柱面上任意点的电磁波轨迹的精确计算。
The mid point position is determined under Fermat's principle from acquired the three points in rectangle cell rather than disturbing in turn like the three points disturbing method. 取矩形网格三个点,在Fermat最小旅行时原则下求取扰动中间点的位置,而不象扰动法那样依次扰动。
OPTICAL PATH, FERMAT'S PRINCIPLE AND INTERMODAL DISPERSION Intermodal Dispersion and Optical Equalization in Multimode Optical Fiber Links 光程、费马原理和光纤的模式色散多模光纤链的模间色散与光均衡
In graded index medium, the ray goes along a curved path determined by the Fermat principle. The solution of radiative transfer in graded index medium is more difficult than that in uniform index medium. 光线在梯度折射率介质内沿Fermat原理决定的曲线路径传播,因而梯度折射率介质内的辐射传递相对均匀介质内的辐射传递要复杂得多。
According to the conclusion in Fermat Principle that the optical path takes minimum value, we figure out the formula of reflection point coordinates after carefully analyzing to the Cylindrical Mirror Image. 我们利用费马原理中其光程取极小值的结论,解析并计算出柱面镜的反射点坐标,同时提出了一种新的柱面镜镜像点定位方法。