Waves trapped by a thin curved screen in a waveguide with rigid walls

摘要

The conditions are derived for the existence of waves trapped by a symmetrical thin rigid screen in a two-dimensional waveguide with rigid walls. Asymptomatic formulas are found for the corresponding eigenvalues, while the asymptomatic structures differ from those pertaining to the eigenvalues of problems in bounded domains. Various generalizations of the results are discussed, and open questions are formulated.