Behavior of the Goos–Hänchen shift due to a planar non-integer dimensional (NID) dielectric interface is studied when observation point is also located in NID medium. Both perpendicular and parallel polarized incident electromagnetic waves are considered in this regard. Impact of variation in value of permittivity and NID parameter on Goos–Hänchen shift is noted. A purpose of the discussion is to highlight the differences between two cases: One when observation point is located in NID medium and other when observation point is located in ordinary medium. Behavior of Goos–Hänchen shift for NID-lossy dielectric interface is also treated.

中文翻译：

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观察非整数维介质中的Goos–Hänchen位移

当观察点也位于NID介质中时，研究了由于平面非整数（NID）介电界面导致的Goos–Hänchen位移的行为。在这方面考虑了垂直和平行极化入射电磁波。注意到介电常数和NID参数值的变化对Goos–Hänchen位移的影响。讨论的目的是强调两种情况之间的区别：一种是观察点位于NID介质中，另一种是观察点位于普通介质中。NID有损介电界面的Goos–Hänchen位移行为也得到了处理。