Soliton content of wave packets with strong phase modulation: The Wentzel–Kramers–Brillouin approach

Optik ◽  
2021 ◽  
Vol 225 ◽  
pp. 165424
Author(s):  
N. Korneev ◽  
V. Vysloukh
2001 ◽  
Vol 88 (1) ◽  
Author(s):  
R. A. Bartels ◽  
T. C. Weinacht ◽  
N. Wagner ◽  
M. Baertschy ◽  
Chris H. Greene ◽  
...  

Author(s):  
Z.M. Wang ◽  
J.P. Zhang

High resolution electron microscopy reveals that antiphase domain boundaries in β-Ni3Nb have a hexagonal unit cell with lattice parameters ah=aβ and ch=bβ, where aβ and bβ are of the orthogonal β matrix. (See Figure 1.) Some of these boundaries can creep “upstairs” leaving an incoherent area, as shown in region P. When the stepped boundaries meet each other, they do not lose their own character. Our consideration in this work is to estimate the influnce of the natural misfit δ{(ab-aβ)/aβ≠0}. Defining the displacement field at the boundary as a phase modulation Φ(x), following the Frenkel-Kontorova model [2], we consider the boundary area to be made up of a two unit chain, the upper portion of which can move and the lower portion of the β matrix type, assumed to be fixed. (See the schematic pattern in Figure 2(a)).


Author(s):  
F. Hasselbach ◽  
A. Schäfer

Möllenstedt and Wohland proposed in 1980 two methods for measuring the coherence lengths of electron wave packets interferometrically by observing interference fringe contrast in dependence on the longitudinal shift of the wave packets. In both cases an electron beam is split by an electron optical biprism into two coherent wave packets, and subsequently both packets travel part of their way to the interference plane in regions of different electric potential, either in a Faraday cage (Fig. 1a) or in a Wien filter (crossed electric and magnetic fields, Fig. 1b). In the Faraday cage the phase and group velocity of the upper beam (Fig.1a) is retarded or accelerated according to the cage potential. In the Wien filter the group velocity of both beams varies with its excitation while the phase velocity remains unchanged. The phase of the electron wave is not affected at all in the compensated state of the Wien filter since the electron optical index of refraction in this state equals 1 inside and outside of the Wien filter.


1995 ◽  
Vol 165 (10) ◽  
pp. 1145 ◽  
Author(s):  
F.V. Bunkin ◽  
Gennadii A. Lyakhov ◽  
K.F. Shipilov
Keyword(s):  

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