Title :
Laterally coupled waveguides with Neumann boundary condition: formal asymptotic expansions
Author :
Gortinskaya, Lydia V. ; Popov, Igor Yu ; Tesovskaya, Ekaterina S.
Author_Institution :
Dept. of Higher Math., St. Petersburg Inst. of fine Mech. & Opt., Russia
Abstract :
We consider the resonance effects in quantum waveguides and layers with Neumann boundary conditions coupled through small windows. Asymptotics of the resonances (quasi eigenvalues) are obtained. Also the scattering problems for the cases of one and two coupling windows are considered.
Keywords :
boundary-value problems; eigenvalues and eigenfunctions; electron waveguides; resonance; scattering; waveguide couplers; waveguide theory; Neumann boundary condition; asymptotic expansion; coupling window; laterally coupled waveguide; quantum waveguide; quasi eigenvalue; resonance effect; scattering problem; Boundary conditions; Eigenvalues and eigenfunctions; Electrons; Mathematics; Optical coupling; Optical resonators; Optical scattering; Optical waveguides; Physics; Resonance;
Conference_Titel :
Day on Diffraction, 2003. Proceedings. International Seminar
Conference_Location :
Saint Petersburg, Russia
Print_ISBN :
5-94158-070-3
DOI :
10.1109/DD.2003.238132
