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光子学报  2008 

Analytic Solution of Refractive-index Distribution in Regular Hexagon Selfoc Lens
正六边形自聚焦透镜折射率分布研究

Keywords: Regular Hexagon,Selfoc Lens,Refractive-index Distribution,Variable Separation,Coordinate Transform
正六边形
,自聚焦透镜,折射率分布,分离变量法,坐标变换

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Abstract:

To address the constant source diffusion,a solving model is introduced to solve the diffusion equation with a regularly hexagonal boundary.Then the analytic solution of refractive index distribution is obtained by separating variables and transforming coordinate.Having been simulated by Mat lab program,and compared with the numeric solution from the finite difference method.The coherence of this analytic solution is proved qualitatively and quantitatively.

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