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Time Harmonic Two-Dimensional Cavity Scar Statistics: Concave Mirrors and Stadium

Abstract This article is a sequel to a previous article dealing with localization of time-harmonic, high-frequency modal fields in a two-dimensional cavity along periodic paths between opposing sides of the cavity. The cases where these paths (or orbits) lead to unstable localized modes are known as scars. In the present article, a stadium-like cavity with concave walls on opposing sides is treated. In contrast to the previous case of a bowtie cavity with convex walls and foci outside the region of consideration, a stadium cavity contains interior foci.