Geodesic
Calculation of characteristics of trapped modes in T-shaped waveguides
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 104-119

Voir la notice de l'article provenant de la source Math-Net.Ru

The spectrum of the Dirichlet problem for the Laplace operator in a plane T-shaped waveguide is investigated. The critical width of the half-strip branch is determined such that, if the width is greater, the waveguide has no discrete spectrum. The existence of a critical width is proved the oretically. 
@article{ZVMMF_2011_51_1_a7,
     author = {S. A. Nazarov and A. V. Shanin},
     title = {Calculation of characteristics of trapped modes in {T-shaped} waveguides},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {104--119},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a7/}
}
TY  - JOUR
AU  - S. A. Nazarov
AU  - A. V. Shanin
TI  - Calculation of characteristics of trapped modes in T-shaped waveguides
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 104
EP  - 119
VL  - 51
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a7/
LA  - ru
ID  - ZVMMF_2011_51_1_a7
ER  - 
%0 Journal Article
%A S. A. Nazarov
%A A. V. Shanin
%T Calculation of characteristics of trapped modes in T-shaped waveguides
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 104-119
%V 51
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a7/
%G ru
%F ZVMMF_2011_51_1_a7
S. A. Nazarov; A. V. Shanin. Calculation of characteristics of trapped modes in T-shaped waveguides. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 104-119. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a7/