While the motion of a classical particle bounded to a surface depends only on the local curvature, the dynamics of a quantum particle depends also on the mean surface curvature. Its influence can be experimentally observed using surface plasmon polaritons (SPPs), which are naturally surface-bounded waves. Owing to the similarity between the Schrödinger and the paraxial Helmholtz equations, this system can be used to readily examine quantum phenomena. In this work, we experimentally show a new guiding mechanism based on this quantum effect using the surface curvature of a book-cover structure, whereas in the case of an inverse book cover with the same local curvature but inverted mean curvature, the SPPs rapidly diffract. Additionally we show that, by longitudinally bending the book cover, the propagating mode width can be dynamically controlled.

中文翻译：

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曲面上的表面等离激元极化子

绑定到表面的经典粒子的运动仅取决于局部曲率，而量子粒子的动力学也取决于平均表面曲率。可以使用表面等离振子极化子（SPPs）进行实验观察，表面等离激元极化子是自然的表面束缚波。由于薛定ding与近轴亥姆霍兹方程之间的相似性，该系统可用于轻松检查量子现象。在这项工作中，我们使用书皮结构的表面曲率实验性地展示了一种基于这种量子效应的新的引导机制，而在书本反向的书皮具有相同的局部曲率但平均曲率相反的情况下，SPP会迅速衍射。另外，我们显示出，通过纵向弯曲书的封面，可以动态地控制传播模式的宽度。