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We present a black hole effect by strategically leveraging a conformalmapping in elastic continuum with curved-space framework, which is lessstringent compared to a Schwarzschild model transformed to isotropic refractiveindex profiles. In the conformal map approach, the 2D point singularityassociated to the black hole effect is accomplished by physical plates withnear-to-zero thickness. The analog gravity around the singularity results inhighly confined energy and lagged timings within a branch cut of the conformalmap. These effects are quantified both numerically and experimentally inreference to control trials in which the thickness is not modulated. Thefindings would deepen our understanding of the elastic analog in mimickinggravitational phenomena, as well as establish the elastic continuum frameworkfor developing a generic design recipe in the presence of the indexsingularity. Geometric landscapes with elastically curved surfaces would beapplicable in a variety of applications such as sensing, imaging, vibrationisolation, and energy harvesting.

Conformally mapped black hole effect in elastic curved continuum