Asymptotics of bound states and bands for laterally coupled waveguides and layers

DOI10.1063/1.1425081zbMath1059.78025OpenAlexW2104208130MaRDI QIDQ4830671

Igor Yu. Popov

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1425081

Mathematics Subject Classification ID

Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items

Gap opening and split band edges in waveguides coupled by a periodic system of small windows ⋮ Bound states in coupled guides. I. Two dimensions ⋮ Bound states in coupled guides. II. Three dimensions ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. II: Asymptotics ⋮ Perturbations of the continuous spectrum of a certain nonlinear two-dimensional operator sheaf ⋮ Violation of symmetry in the system of three laterally coupled quantum waveguides, and resonance asymptotics ⋮ Coupled dielectric waveguides: variational estimations ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions

Cites Work

• Asymptotics of resonances and bound states for laterally coupled curved quantum waveguides
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• On the point and continuous spectra for coupled quantum waveguides and resonators
• Asymptotics of bound state for laterally coupled waveguides.
• Resonances for laterally coupled quantum waveguides
• Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers
• Weakly coupled bound states in quantum waveguides
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS