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- W2037696150 abstract "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 $ensuremath{theta}.$ Such a four-terminal junction with a tunable $ensuremath{theta}$ can realized experimentally if a right-angle structure is filled by a ferrite. It is known that for $ensuremath{theta}=90ifmmode^circelsetextdegreefi{}$ 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 $ensuremath{theta}$ in the interval $(0,90ifmmode^circelsetextdegreefi{}).$ 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 $ensuremath{theta}$ into quasibound states with a complex wave vector." @default.
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- W2037696150 date "2002-10-23" @default.
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- W2037696150 title "Multiple bound states in scissor-shaped waveguides" @default.
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- W2037696150 doi "https://doi.org/10.1103/physrevb.66.155109" @default.
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