费马原理

费马原理确定柱面和锥面反射点的解析表示式

Analytical formulas for reflection ray tracing on the cylinder and cone base on the Fermat principle

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。

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 .

由上原理出发，可分别得出最小作用量原理，哈密顿原理、费马原理、H定理和最小熵产生原理。

From the generalized principle , we can derive Least-Action Principle , Hamiltion Principle , H Theorem , Least Entropy-produced Principle and so on .

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。

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 .

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

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

费马原理与运动性最值问题探讨

A Probe into Fermat 's Principle and the Extreme Value of Motility

经济系统动态最优生存的费马原理探析

Probe into Fermat 's Rule of Dynamic Optimal Viability of Economic Systems

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。

By means of Fermat 's principle general aberration formulae for the combined system have been derived .

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

Fermat 's Principle , Laws of Geometrical Optics and Light Propagation in Medium with Graded Refractive Index

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

OPTICAL PATH , FERMAT 'S PRINCIPLE AND INTERMODAL DISPERSION Intermodal Dispersion and Optical Equalization in Multimode Optical Fiber Links

本文给出一种以费马原理和绕射理论相结合的最小走时射线追踪层析成像方法。

A new ray tracing method , the shortest path method suggested by Moser , is used in seismic tomography .

利用费马原理建立了大气中光线轨迹的微分方程，并解释了空中绿洲这一光学现象。

Based on Fermat Theory , this paper sets up the differential equation of the ray track in the atmosphere , and explains the mirage phenomenon .

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。

Application of Fermat 's principle is developed to solve several practical problems , for example , the least time and the optimum route , the least cost .

用光程函数和费马原理研究光栅的成像，用刻槽分布函数表示光栅的刻槽曲率及间距变化。

The groove pattern function was employed to express the curvature and groove space of aberration reducing gratings , and the dispersive system containing a single grating was discussed .

非视距声信号通常经过绕射到达基阵，根据广义费马原理，传播路径为一条短程线。

The NLOS sound signal usually arrives at acoustic array by diffraction , and the diffracted transmission path is a geodesic according to the extensive Famat ′ s principle .

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。

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 .

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 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 .

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。

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 .

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。

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 .

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。

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 ;

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。

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 .