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Extrinsic curvature, geometric optics, and lamellar order on curved substrates

Extrinsic curvature, geometric optics, and lamellar order on curved substrates

When thermal energies are weak, two-dimensional lamellar structures confined on a curved substrate display complex patterns arising from the competition between layer bending and compression in the presence of geometric constraints. We present broad design principles to engineer the geometry of the underlying substrate so that a desired lamellar pattern …