2011/06/06 by André Martínez, Andre Martinez, Martinez, Andre +3
Computer Science · Engineering · Mathematics · Physics and Astronomy · #35B34 #FOS: Mathematics #Mechanical and Optical Resonators #Microwave and Dielectric Measurement Techniques #Nonlinear Dynamics and Pattern Formation #Primary 81Q20 #Secondary 35P15 #Spectral Theory (math.SP) #math.SP #msc:35B34 #msc:35P15 #msc:81Q20
paper · pdf · doi:10.48550/arxiv.1106.0990
16 pages,2 figures
arxiv created 2011/06/06 · openalex publication_date 2011/06/06 · arxiv updated 2011/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The study of the resonances of the Helmholtz resonator has been broadly described in previous works. Here, for a simple tube-shaped two dimensional resonator, we can perform a careful analysis of the transition zone where oscillations start to appear. In that way, we obtain an optimal lower bound of the width of the resonances.