Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones
نویسندگان
چکیده
منابع مشابه
Resonances from perturbations of quantum graphs with rationally related edges
We discuss quantum graphs consisting of a compact part and semiinfinite leads. Such a system may have embedded eigenvalues if some edge lengths in the compact part are rationally related. If such a relation is perturbed these eigenvalues may turn into resonances; we analyze this effect both generally and in simple examples. Perturbed quantum graphs with rationally related edges 2
متن کاملOn Brillouin Zones
1 Mathematics Department, Pennsylvania State University, University Park, Pennsylvania, USA. E-mail: [email protected] 2 Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil. E-mail: [email protected] 3 Departamento de Matemática, Universidade Federal de Pernambuco, Recife, Brazil. 4 Institute for Mathematical Sciences and Mathematics Department, State University of New York, Stony ...
متن کاملTime Periodic Perturbations of Quantum Systems
für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
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The article discusses the following frequently arising question on the spectral structure of periodic operators of mathematical physics (e.g., Schrödinger, Maxwell, waveguide operators, etc.). Is it true that one can obtain the correct spectrum by using the values of the quasimomentum running over the boundary of the (reduced) Brillouin zone only, rather than the whole zone? Or, do the edges of...
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We calculate exactly the two bound Floquet modes of a periodic linear waveguide induced in a medium by a second-order soliton of the nonlinear Schrödinger equation. The modes are degenerate at the writing frequency, having the same quasi-propagation constant, which suggests applications of our method to spectral filtering.
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2013
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/46/23/235203