Bound States in the Continuum on Periodic Structures: Theory, Computation and Applications

Project: ResearchGRF

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A bound state in the continuum (BIC) is a localized or trapped mode with a frequency in the frequency interval where outgoing radiation modes exist. Mathematically, a BIC corresponds to a discrete eigenvalue in the continuous spectrum. For periodic structures surrounded by homogeneous media, the BICs are guided modes above the lightline, and they can be either standing waves or propagating Bloch modes. Recently, BICs for electromagnetic and light waves have attracted much attention since they have very interesting properties, can be used to enhance nonlinear and quantum optical effects, and have potentially significant applications in lasing, sensing, optical switching, light storage, etc. However, there are limitations in the current theoretical understanding of the BICs, and their applications have not been fully explored. In this project, we study BICs on periodic structures from three different aspects: theory, numerical computation, and applications. We intend to develop a perturbation theory to understand the robustness of BICs with respect to their underlying symmetries. We also plan to develop an accurate and reliable numerical method for computing the BICs. Applications of the BICs will be explored based on the discontinuities of transmission and reflection coefficients and the total transmission/reflection phenomena, the arbitrarily strong field enhancement by resonances near BICs, and the nonuniqueness of related diffraction problems.


Effective start/end date1/01/18 → …