Multiple bound states in scissor-shaped waveguides

Details Multiple bound states in scissor-shaped waveguides Multiple bound states in scissor-shaped waveguides

2002-06-21

arxiv.org/abs/cond-mat/0206397v2

Phys. Rev. B66, 6265 (2002)

Physics

Condensed Matter

6 pages, 6 figures

Scientific paper

10.1103/PhysRevB.66.155109

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 $\theta$. Such a four-terminal junction with a tunable $\theta$ can realized experimentally if a right-angle structure is filled by a ferrite. It is known that for $\theta=90^o$ 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 $\theta$ in the interval $(0,90^o)$. Moreover, states which are sufficiently strongly bent exist in pairs with a small energy difference and opposite parities. Finally, we discuss how with increasing $\theta$ the bound states transform into the quasi-bound states with a complex wave vector.

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