Nonparaxial description of reflection and transmission at the interface between an isotropic medium and a uniaxial crystal.
Nonparaxial description of reflection and transmission at the interface between an isotropic medium and a uniaxial crystal.
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DOI：
10.1364/josaa.19.001422
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发表时间：
2002-07
期刊：
影响因子：
--
通讯作者：
A. Ciattoni;G. Cincotti;C. Palma
中科院分区：
文献类型：
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作者：
A. Ciattoni;G. Cincotti;C. Palma
推导了任意电磁波束穿过均匀介质和单轴各向异性介质之间的平面界面时所产生的反射场和透射场的角谱，并将其与入射介质相联系。利用这些公式，我们得到了近轴场和略非近轴场的表达式。反射的近轴光场与入射光场之间存在菲涅耳关系；传输的近轴场是普通光束和特殊光束的叠加，乘以菲涅耳系数。我们发现，由于介质不连续，非近轴修正比自由传播的修正要大，并且它们与入射光束的近轴解非常简单地相关。讨论了两种不同折射率的均匀介质的情况。所得的一般表达式应用于非近轴高斯光束的情况。
Angular spectra of reflected and transmitted fields, induced by an arbitrary electromagnetic beam passing through the planar interface between a homogeneous medium and a uniaxially anisotropic medium, are derived and related to the incident medium. By using these formulas, we obtain the expressions for paraxial and slightly nonparaxial fields. The reflected paraxial field is related to the incident one by means of Fresnel relations; the transmitted paraxial field is the superposition of an ordinary and an extraordinary beam, multiplied by the Fresnel coefficient. We find that the nonparaxial corrections, owing to the medium discontinuity, are larger than their free-propagation counterparts and that they are very simply related to the paraxial solutions of the incident beam. The case of two homogeneous media with different refractive indices is also discussed. The general expressions obtained are applied to the case of a nonparaxial Gaussian beam.