منابع مشابه
Reflectionless Sturm-Liouville Equations
We consider compactly supported perturbations of periodic Sturm-Liouville equations. In this context, one can use the Floquet solutions of the periodic background to define scattering coefficients. We prove that if the reflection coefficient is identically zero, then the operators corresponding to the periodic and perturbed equations, respectively, are unitarily equivalent. In some appendices, ...
متن کاملReflectionless Measures with Singular Components
We consider here only real ν supported on compact E ⊂ R, and call this measure reflectionless if there exists a limit Cν(x+ i0) and it is purely imaginary for ν almost every x ∈ E. We call this measure weakly reflectionless if if there exists a limit Cν(x+ i0) and it is purely imaginary for dx almost every x ∈ E. We need two classes of compact sets. First is the homogeneous sets: |E∩(x−h, x+h)|...
متن کاملCharacteristics of regionally reflectionless potentials
This paper considers potentials that are reflectionless for a range of energies and not reflectionless elsewhere. The focus of this paper is to see if reflection coefficients of this type have characteristics that would make it possible to solve for the associated potentials using known methods. Using the Gelfand-Levitan equation it is shown that the spectral measure function has several limits...
متن کاملA note on reflectionless Jacobi matrices
The property that a Jacobi matrix is reflectionless is usually characterized either in terms of Weyl mfunctions or the vanishing of the real part of the boundary values of the diagonal matrix elements of the resolvent. We introduce a characterization in terms of stationary scattering theory (the vanishing of the reflection coefficients) and prove that this characterization is equivalent to the ...
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ژورنال
عنوان ژورنال: IEEE Microwave and Wireless Components Letters
سال: 2018
ISSN: 1531-1309,1558-1764
DOI: 10.1109/lmwc.2018.2805462