研究目的
Studying the conversion efficiency of the input wave with zero orbital angular momentum (OAM) into the output wave with non-zero OAM in non-coaxial cylindrical waveguides.
研究成果
The study demonstrates that by breaking the axial symmetry of the system and adjusting the resonator length and the angle D/, the conversion efficiency of the input wave with zero OAM into the output wave with non-zero OAM can reach almost 100%. This method provides a novel approach to generating acoustic vortices with controlled orbital angular momentum.
研究不足
The study is theoretical and does not account for viscosity or other real-world acoustic losses. The practical realization of such a system and its performance under real conditions are not explored.
1：Experimental Design and Method Selection:
The study uses a non-coaxial waveguide system composed of a cylindrical resonator and two cylindrical waveguides of different radii. The conversion efficiency is studied by varying the frequency, resonator length, and the angle D/ between the waveguides.
2：Sample Selection and Data Sources:
The system is modeled theoretically with specific radii relationships (r1 < r2 < R) and the waveguides are misaligned by an azimuthal angle difference D/.
3：List of Experimental Equipment and Materials:
A cylindrical resonator and cylindrical waveguides are used, with the waveguides' radii and positions relative to the resonator being key parameters.
4：Experimental Procedures and Operational Workflow:
The conversion efficiency is calculated using the method of the effective non-Hermitian Hamiltonian based on the Feshbach method of projection.
5：Data Analysis Methods:
The transmittance of sound waves through the resonator into different channels is calculated, and the conversion efficiency is analyzed versus the resonator length and angle D/.
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