NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2020, 11 (6), P. 619–627
Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall
A. M. Vorobiev – ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia; lenden31@yandex.ru
E. S. Trifanova – ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia; etrifanova@gmail.com
I.Y. Popov – ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia; popov1955@gmail.com
A nanostructure model,which is represented as a pair of coupled two-dimensional quantum waveguides with common semitransparent wall, is considered. That wall has small window which induces a resonance state localized near the window. Semitransparency is the reason for the asymptotics difference in comparison with the non-transparent case. Using the matching of asymptotic expansions method, we obtain formulas for resonances and resonance states.
Keywords: resonance, resonance state, waveguide, asymptotics.
DOI 10.17586/2220-8054-2020-11-6-619-627
