We study the essential spectra of formally self-adjoint elliptic systems on doubly periodic planar domains perturbed by a semi-infinite periodic row of foreign inclusions. We show that the essential spectrum of the problem consists of the essential spectrum of the purely periodic problem and another component, which is the union of the discrete spectra of model problems in the infinite perturbation strip; these model problems arise by an application of the partial Floquet Bloch Gelfand transform. (C) 2015 Elsevier Inc. All rights reserved.
Spectra of open waveguides in periodic media / Cardone, G; Nazarov, Sa; Taskinen, J.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 269:8(2015), pp. 2328-2364. [10.1016/j.jfa.2015.08.001]
Spectra of open waveguides in periodic media
Cardone G
;
2015
Abstract
We study the essential spectra of formally self-adjoint elliptic systems on doubly periodic planar domains perturbed by a semi-infinite periodic row of foreign inclusions. We show that the essential spectrum of the problem consists of the essential spectrum of the purely periodic problem and another component, which is the union of the discrete spectra of model problems in the infinite perturbation strip; these model problems arise by an application of the partial Floquet Bloch Gelfand transform. (C) 2015 Elsevier Inc. All rights reserved.| File | Dimensione | Formato | |
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