Topological Acoustic Multiplexing via Negative-Capacitance Lattices
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Solution Overview
Problem
Current mechanical topological insulators face challenges in designing and fabricating functional devices due to complexities in breaking inversion symmetry, particularly in quantum spin Hall effect-based systems, which require pairs of coincident Dirac cones.
Innovation Solution
The development of a multiplexer/demultiplexer system utilizing a lattice of unit cells made from topological-insulative materials with integrated piezoelectric patches and negative capacitance circuits, allowing for real-time control of acoustic wave propagation along topological domain walls.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum spin Hall effect-based topological insulators are used to control phonons, then topological protection and minimal diffraction loss are achieved, but device complexity and fabrication difficulty increase due to requiring pairs of coincident Dirac cones
Solution Approach 1:
The patent employs quantum valley Hall effect-based topological insulators that break inversion symmetry through asymmetric unit cell design with alternating material properties. This asymmetric structure creates topologically protected edge states without requiring the symmetric pair of Dirac cones needed in quantum spin Hall effect systems, thereby reducing fabrication complexity while maintaining topological protection.
Solution Approach 2:
The patent replaces the mechanical/physical requirement of coincident Dirac cones with an equivalent electromagnetic or phononic system using quantum valley Hall effect. This substitution allows achieving topological protection through simpler material arrangements and boundary conditions, avoiding the complex fabrication requirements of quantum spin Hall effect-based mechanical systems.
2Loss of energy
If quantum spin Hall effect-based topological insulators are used, then phonon control with minimal diffraction loss is achieved, but manufacturing difficulty increases
Solution Approach 1:
The patent uses asymmetric unit cell structures with alternating material properties to break inversion symmetry and generate quantum valley Hall effect. This asymmetric design creates topologically protected phonon pathways that minimize diffraction loss while using simpler, more manufacturable material arrangements compared to the symmetric Dirac cone requirements of quantum spin Hall effect systems.
Solution Approach 2:
The patent achieves topological protection and minimal diffraction loss by changing material parameters such as elastic constants, density, or piezoelectric coefficients in an alternating pattern across unit cells. These parameter changes create the necessary band structure for topological protection without requiring the complex coincident Dirac cone structures, improving ease of manufacture.
3Adaptability or versatility
If reconfigurable and programmable multiplexers are implemented, then dynamic wave pathway control is achieved, but device complexity increases
Solution Approach 1:
The patent implements reconfigurability by making the topological insulator system dynamically controllable through time-varying material properties or boundary conditions. This allows dynamic switching of wave pathways and multiplexing functionality while maintaining the underlying topological protection, achieving adaptability without proportionally increasing device complexity.
Solution Approach 2:
The patent designs the topological insulator-based device to serve multiple functions including wave guiding, multiplexing, demultiplexing, and signal filtering within a single integrated structure. This multi-functionality reduces overall system complexity compared to separate dedicated components for each function, while providing reconfigurable dynamic control.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This solution enables efficient and reconfigurable multiplexing and demultiplexing of acoustic waves with minimal diffraction loss and topological protection from backscattering, overcoming the complexities of previous designs.
Implementation Method 1
Each of the unit cells can comprise a topological-insulative material, a first piezoelectric patch, and a second piezoelectric patch
Implementation Method 2
The controller can be configured to: apply a negative capacitance to the first piezoelectric patches in the first portion of the plurality of unit cells
Implementation Method 3
These structures have a unique potential to protect propagating waves against backscattering in the presence of sharp edges, disorder, and defects over broad frequency ranges
Implementation Method 4
Enables efficient propagation of acoustic waves with minimal loss and topological protection from backscattering
Data Source
AI summary
An exemplary embodiment of the present disclosure provides a multiplexer/demultiplexer, comprising a plurality of unit cells arranged in a lattice, a first domain, a second domain, a third domain, and a controller. Each of the unit cells can comprise a topological-insulative material, a first piezoelectric patch, and a second piezoelectric patch. A first domain can comprise a first portion of the plurality of unit cells. A second domain can comprise a second portion of the plurality of unit cells. A third domain can comprise a third portion of the plurality of unit cells. The controller can be configured to: apply a negative capacitance to the first piezoelectric patches in the first domain; apply a negative capacitance to the second piezoelectric patches in the second domain; and alternately apply a negative capacitance to the first and second piezoelectric patches, respectively, in the third domain.