The engineering of light confinement is a topic with a long history in optics and with significant implications for the control of light-matter interaction. In inhomogeneous and disordered media, however, multiple scattering prevents the application of conventional approaches for the design of light fields with desired properties. This is because any local change to such a medium typically affects these fields in a non-local and complicated fashion. Here, we present a theoretical methodology for tailoring an inhomogeneous 1D Hermitian dielectric index distribution that allows us to control the intensity profile of an incoming light field purely locally, that is, with little or no influence on the field profile outside of a designated region of interest. Strongly increasing or decreasing the light's intensity at arbitrary positions inside the medium thereby becomes possible without, in fact, changing the external reflectance or transmittance. These local modifications of the medium can thus be made undetectable to far field measurements. We apply this approach to locally control the confinement of light inside 1D materials with inhomogeneous continuous refractive index profiles and extend it to multilayer films as well as to chains of coupled micro-resonators.

中文翻译：

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在非均匀电介质中通过局部指数剪裁来限制光

光限制工程是一个在光学领域有着悠久历史的话题，对控制光-物质相互作用具有重要意义。然而，在不均匀和无序的介质中，多重散射阻碍了传统方法的应用，以设计具有所需特性的光场。这是因为对这种媒体的任何本地更改通常都会以非本地和复杂的方式影响这些字段。在这里，我们提出了一种用于定制非均匀 1D Hermitian 介电指数分布的理论方法，该方法使我们能够纯局部地控制入射光场的强度分布，即对指定区域外的场分布影响很小或没有影响。兴趣。强烈增加或减少光线' 因此，在介质内任意位置的 s 强度变得可能，而实际上不会改变外部反射率或透射率。因此，可以使远场测量无法检测到介质的这些局部修改。我们应用这种方法来局部控制光在具有非均匀连续折射率分布的一维材料内的限制，并将其扩展到多层薄膜以及耦合微谐振器链。