MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Multiple bound states in scissor-shaped waveguides

Evgeny N Bulgakov Pavel Exner Konstantin N Pichugin Almas F Sadreev

TBD mathscidoc:1910.43058

Physical Review B, 66, (15), 155109, 2002.10
We study bound states of the two-dimensional Helmholtz equations with Dirichlet boundary conditions in an open geometry given by two straight leads of the same width which cross at an angle . Such a four-terminal junction with a tunable can realized experimentally if a right-angle structure is filled by a ferrite. It is known that for = 90 there is one proper bound state and one eigenvalue embedded in the continuum. We show that the number of eigenvalues becomes larger with increasing asymmetry and the bound-state energies are increasing as functions of in the interval (0, 90). Moreover, states which are sufficiently strongly bound exist in pairs with a small energy difference and opposite parities. Finally, we discuss how the bound states transform with increasing into quasibound states with a complex wave vector.
No keywords uploaded!
[ Download ] [ 2019-10-20 12:34:40 uploaded by Pavel_Exner ] [ 379 downloads ] [ 0 comments ] 
@inproceedings{evgeny2002multiple,
  title={Multiple bound states in scissor-shaped waveguides},
  author={Evgeny N Bulgakov, Pavel Exner, Konstantin N Pichugin, and Almas F Sadreev},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020123440673271587},
  booktitle={Physical Review B},
  volume={66},
  number={15},
  pages={155109},
  year={2002},
}
Evgeny N Bulgakov, Pavel Exner, Konstantin N Pichugin, and Almas F Sadreev. Multiple bound states in scissor-shaped waveguides. 2002. Vol. 66. In Physical Review B. pp.155109. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020123440673271587.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved