Abstract
Light reflection and refraction at an interface between two homogeneous media is analytically described by Snell's law. For a beam with a finite waist, it turns out that the reflected wave experiences a lateral displacement from its position predicted by geometric optics. Such Goos-Hänchen (G-H) effect has been extensively investigated among all kinds of optical media, such as dielectrics, metals, photonic crystals and metamaterials. As a fundamental physics phenomenon, the G-H effect has been extended to acoustics and quantum mechanics. Here we report the unusual G-H effect in zero index metamaterials. We show that when linearly polarized light is obliquely incident from air to epsilon-near-zero metamaterials, no G-H effect could be observed for p polarized light. While for s polarization, the G-H shift is a constant value for any incident angle.
Highlights
Light reflection and refraction at an interface between two homogeneous media is analytically described by Snell’s law
It is shown that there is no G-H effect for p polarized light, while for s polarization, the G-H shift is a constant value, independent of the incident angle
We have shown that for lossless ENZ material, there is no G-H shift for p polarization, which indicates that it obeys exactly the prediction by the geometrical optics
Summary
Light reflection and refraction at an interface between two homogeneous media is analytically described by Snell’s law. For a beam with a finite waist, it turns out that the reflected wave experiences a lateral displacement from its position predicted by geometric optics Such Goos-Hanchen (G-H) effect has been extensively investigated among all kinds of optical media, such as dielectrics, metals, photonic crystals and metamaterials. I t is well known that when light is totally reflected from an interface of two media, it will experience a lateral displacement from the position predicted by the geometric optics Such a lateral displacement is called the Goos-Hanchen (G-H) shift[1]. The G-H shifts are positive among lossless dielectrics with a positive index, while they turn negative in lossless metamaterials with a negative index It seems that the GH shifts should be zero in ZIMs. In this work, we will explore the G-H effect when a linearly polarized light is obliquely incident from air onto an ENZ metamaterial. Such a unique behavior has not yet been revealed in previous study on the G-H effect
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