2024/11/25 by A. L. Delitsyn, Delitsyn, Andrey L., Irina K. Troshina +1
Engineering · #Acoustic Wave Resonator Technologies #FOS: Physical sciences #Mathematical Physics (math-ph) #Microwave and Dielectric Measurement Techniques #Ultrasonics and Acoustic Wave Propagation
paper · pdf · doi:10.48550/arxiv.2411.16182
openalex publication_date 2024/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It has been proven that when connecting two infinite semi-cylinders or waveguides with a finite cylinder or resonator at a certain frequency, it is possible to transmit a signal almost completely from one semi-cylinder to another. In this case, the reflected field is arbitrarily small. A very simple technique based on the expansion of the solution in a Fourier series in cylinders and matching the series for the signal and its derivatives in the conjugation boundaries of cylinders of different radii is used for the proof. The main feature of this method is its elementary nature, which allows for a certain class of boundaries to establish resonant scattering effects.