Abstract
It is predicted theoretically that a 1D diatomic chain of 3D chiral cells can support a topological bandgap that allows for translating a small time-harmonic axial movement at one end of the chain into a resonantly enhanced large rotation of an edge state at the other end. This edge state is topologically protected such that an arbitrary mass of a mirror at the other end does not shift the eigenfrequency out of the bandgap. Herein, this complex 3D laser-beam-scanner microstructure is realized in fused-silica form. A novel microcasting approach is introduced that starts from a hollow polymer cast made by standard 3D laser nanoprinting. The cast is evacuated and filled with helium, such that a highly viscous commercial glass slurry is sucked in. After UV curing and thermal debinding of the polymer, the fused-silica glass is sintered at 1225°C under vacuum. Detailed optical measurements reveal a mechanical quality factor of the twist-edge resonance of 2850 at around 278kHz resonance frequency under ambient conditions. The microcasting approach can likely be translated to many other glasses, to metals and ceramics, and to complex architectures that are not or not yet amenable to direct 3D laser printing.
Highlights
Microstructure Design and FabricationThe working principle and theoretical design has been outlined in detail previously.[25] In brief, the alternation of two slightly different cubic cells (cf Figure 1c) combined with a mirror symmetry (in the sense that the effective masses and moments of inertia of the two cells in the diatomic unit cell are the same) opens a 1D topological bandgap
Introduction esting and relevant3D fused-silica microarchitectures can be manufactured along these lines with the required precision
We optically image the structure from the side as well as from the top under synchronized stroboscopic illumination using a light-emitting diode and an ordinary complementary metal–oxide–semiconductor (CMOS) camera
Summary
The working principle and theoretical design has been outlined in detail previously.[25] In brief, the alternation of two slightly different cubic cells (cf Figure 1c) combined with a mirror symmetry (in the sense that the effective masses and moments of inertia of the two cells in the diatomic unit cell are the same) opens a 1D topological bandgap. This gap supports two topologically protected edge states, located on the end of the micromirror and the opposite end, respectively. An external overpressure can be applied gradually during the filling procedure (not used for the microstructures discussed in this work)
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