Multiple bound states in scissor-shaped waveguides
2002 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, Vol. 66, no 15Article in journal (Refereed) Published
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=90degrees 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 (0,90degrees). 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 theta into quasibound states with a complex wave vector.
Place, publisher, year, edition, pages
2002. Vol. 66, no 15
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-47840DOI: 10.1103/PhysRevB.66.155109OAI: oai:DiVA.org:liu-47840DiVA: diva2:268736