scholarly journals Local Spectral Deformation

2018 ◽  
Vol 68 (2) ◽  
pp. 767-804
Author(s):  
Matthias Engelmann ◽  
Jacob Schach Møller ◽  
Morten Grud Rasmussen
Keyword(s):  
Spectral Deformation

scholarly journals Spectral deformation in a problem of singular perturbation theory

2019 ◽  
Vol 484 (4) ◽  
pp. 397-400
Author(s):  
S. A. Stepin ◽  
V. V. Fufaev
Keyword(s):  
Perturbation Theory ◽  
Asymptotic Behavior ◽  
Integral Method ◽  
Deformation Parameter ◽  
Liouville Problem ◽  
Singular Perturbation Theory ◽  
Different Types ◽  
Spectral Deformation ◽  
Sturm Liouville ◽  
Spectral Complex

Quasi-classical asymptotic behavior of the spectrum of a non-self-adjoint Sturm–Liouville problem is studied in the case of a one-parameter family of potentials being third-degree polynomials. For this problem, the phase-integral method is used to derive quantization conditions characterizing the asymptotic distribution of the eigenvalues and their concentration near edges of the limit spectral complex. Topologically different types of limit configurations are described, and critical values of the deformation parameter corresponding to type changes are specified.

Application of spectral deformation to the Vlasov–Poisson system. II. Mathematical results

1989 ◽  
Vol 30 (12) ◽  
pp. 2819-2837 ◽  
Author(s):  
Peter D. Hislop ◽  
John David Crawford
Keyword(s):  
Poisson System ◽  
Spectral Deformation

Spectral deformation of propagating surface plasmon polaritons

2012 ◽  
Author(s):  
Takuma Aihara ◽  
Masashi Fukuhara ◽  
Kyohei Nakagawa ◽  
Yuya Ishii ◽  
Mitsuo Fukuda
Keyword(s):  
Surface Plasmon ◽  
Surface Plasmon Polaritons ◽  
Spectral Deformation ◽  
Plasmon Polaritons

scholarly journals Single and Multi-Soliton Solutions for a Spectrally Deformed Set of Maxwell-Bloch Equations

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 435
Author(s):  
Mehmet Baran
Keyword(s):  
Nonlinear Optics ◽  
Darboux Transformation ◽  
Soliton Solutions ◽  
Bloch Equations ◽  
Spectral Deformation ◽  
Maxwell Bloch Equations

A specific spectral deformation of the Maxwell-Bloch equations of nonlinear optics is investigated. The Darboux transformation formalism is adapted to this spectrally deformed system to construct its single and multi-soliton solutions. The Effects of spectral deformation on soliton behaviour is studied.

Experimental investigation on optical spectral deformation of embedded FBG sensors

2007 ◽  
Author(s):  
Xiaoxing Zhang ◽  
Jean-Joseph Max ◽  
Xuenian Jiang ◽  
Lucy Yu ◽  
Hassan Kassi
Keyword(s):  
Experimental Investigation ◽  
Spectral Deformation ◽  
Fbg Sensors
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