| GRIN (Gradient Index)介质中的Maxwell方程组与光线光学 |
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| 引用本文： | 郭守月,袁兴红,穆姝慧,周倩,冯克成.GRIN (Gradient Index)介质中的Maxwell方程组与光线光学[J].东北师大学报(自然科学版),2011(4):72-75. |
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| 作者姓名： | 郭守月 袁兴红 穆姝慧 周倩 冯克成 |
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| 作者单位： | 安徽农业大学理学院;长春理工大学理学院; |
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| 基金项目： | 安徽省自然科学研究重点项目(KJ2011Z118) |
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| 摘 要： | 利用坡印廷矢量(Poynting vector)的方向就是光线轨迹曲线的切线方向,推出程函方程(Eikonal equation)的矢量式.经分析发现此式包含了光的粒子性与光的波动性因素,光线的传播规律还受介质折射率函数的制约.再由程函方程进一步推得光线方程,并给出了应用实例.
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| 关 键 词： | 光线光学 光线方程 坡印廷矢量 变折射率介质 程函方程 |
The Maxwell's equations and ray optics in gradient index media |
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| GUO Shou-yue,YUAN Xing-hong,MU Shu-hui,ZHOU Qian,FENG Ke-cheng.The Maxwell's equations and ray optics in gradient index media[J].Journal of Northeast Normal University (Natural Science Edition),2011(4):72-75. |
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| Authors: | GUO Shou-yue YUAN Xing-hong MU Shu-hui ZHOU Qian FENG Ke-cheng |
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| Institution: | GUO Shou-yue1,YUAN Xing-hong1,MU Shu-hui1,ZHOU Qian1,FENG Ke-cheng2(1.School of Sciences,Anhui Agricultural University,Hefei 230036,China,2.School of Sciences,Changchun University of Science and Technology,Changchun 130022,China) |
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| Abstract: | The vector expression of Eikonal equation is deduced by using the direction of Poynting vector is tangent direction of ray track.The expression contains both wave nature of light and corpuscular nature of light.At the same time,it can obtain the conclusion that ray track is restricted by the function of dielectricle refractive index.Finally,the Eikonal equation is transformed into ray equation,and application examples are given. |
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| Keywords: | ray optics equation of light ray Poynting vector gradient index material Eikonal equation |
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