Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes

We present the discovery of a novel and intriguing global geometric structure (interior) transmission eigenfunctions associated with Helmholtz system. It is shown in generic scenarios that there always exists sequence corresponding eigenvalues going to infinity such those are localized around boundary domain. provide comprehensive rigorous justification case within radial geometry, whereas for nonradial case, we conduct extensive numerical experiments quantitatively verify localizing behaviors. The provides new perspective on wave localization. As significant applications, develop inverse scattering scheme can produce super-resolution imaging effects propose method generating so-called pseudo surface plasmon resonant (PSPR) modes potential sensing application.