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Theory of Resonance Dechannelling
Author(s) -
Kumakhov M. A.,
Wedell R.
Publication year - 1976
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220760112
Subject(s) - resonance (particle physics) , mathieu function , ion , wavelength , parametric oscillator , channelling , atomic physics , planar , physics , plane (geometry) , nonlinear system , oscillation (cell signaling) , parametric statistics , quantum mechanics , chemistry , geometry , mathematics , biochemistry , computer graphics (images) , statistics , computer science
A theory of non‐linear phenomena leading to the resonance ion dechannelling is developed. These phenomena arise when ions pass from the conditions of axial channelling to those of planar one and also when ions channelled in an axial channel have low energies. In the first case, the wavelength of a particle trajectory in the plane normal to the axial channel becomes comparable with the distances between atomic rows forming an atomic plane. In the second case, the wavelength is comparable with the distance between two neighbouring atoms in the atomic row. In both the cases a resonance arises which is due to the fact, that the ion oscillation period in a channel becomes comparable with the lattice potential period. The general nonlinear equations obtained in a number of cases become the Mathieu equation describing a parametric resonance. The theoretical results are compared with those of computer calculations and with experiment.