科研之友
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摘要
A model of a ferroelectric crystal in terms of a one-dimensional array of ferroelectric slab domains is treated theoretically for the dynamics of the "array of domains." Two approaches are considered. In a first, the system is treated within a continuum limit in which the space and time evolution of the polarization of the crystal are described by a nonlinear Klein-Gordon equation. A multiple-time-scale analysis is used to determine the linear and nonlinear parts of the frequencies of the extended modes of oscillation of the array. An application is also made to study these modes in the presence of impurities in inhomogeneous ferroelectric materials such as lithium niobate. In a second approach, the discrete equations for the coupling of neighboring ferroelectric slab domains are used to study intrinsic localized modes of the ferroelectric crystal. These are highly localized modes that arise from their self-consistent interactions with the nonlinearity of the system.
- 出版日期2010-2
