We consider a junction of \[N\ semi-infinite cylindrical acoustic waveguides, and, for a small frequency, construct asymptotics of the scattering matrix. The effects of almost complete reflection and transmission are found only in the cases \[N = 1\ and \[N = 2\ under condition of equal area of cross-sections while for ather case no anomaly is present
Original language
Russian
Pages (from-to)
612-624
Journal
ПРИКЛАДНАЯ МАТЕМАТИКА И МЕХАНИКА
Volume
84
Issue number
5
State
Published - 2020
Research areas
asymptotics, junction of semi-infinite cylindrical acoustic waveguides, scattering and polarization matrices, small frequencies, Weinstein anomalies, аномалии Вайнштейна, асимптотика, малые частоты, матрицы рассеяния и поляризации, сочленение полубесконечных цилиндрических акустических волноводов