Geodesic
Waves in a~homogeneous channel with a~periodical chain of thin-wall plates
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 106-115

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Under study is propagation of acoustic waves in a uniform rectangular channel with one-dimensional periodic chain of lates on using the group theory of local plane symmetry in the two-dimensional formulation. Dispersion relations are obtained for the modes, orthogonal to plug mode. The pass bands and stop bands of these modes are obtained and the dependence of the waveguide properties on the geometrical parameters of the plates chain are carried out. It is shown that the waveguide properties of the channel with the plates chain for the waves orthogonal to plug mode are significantly better than the waveguide properties of a free channel. The lower bound of the pass band of the waves in channel with plates orthogonal to plug mode lies below than the lower bound of the pass band of the free channel.
Keywords: waveguide properties of the channels, one-dimensionally periodic chains of obstacles. 
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     author = {S. V. Sukhinin and V. S. Yurkovskiy},
     title = {Waves in a~homogeneous channel with a~periodical chain of thin-wall plates},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {106--115},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a10/}
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S. V. Sukhinin; V. S. Yurkovskiy. Waves in a~homogeneous channel with a~periodical chain of thin-wall plates. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 106-115. http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a10/