Transmission of Phonons with Anomalous Dispersion through the Interface of Two Continuous Media
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- 作者：I. N. Adamenko ; K. E. Nemchenko and I. V. Tanatarov
- 关键词：superfluid ; interface ; dispersion ; quasiparticle ; nonlinear ; BEC
- 刊名：Journal of Low Temperature Physics
- 出版时间：August, 2006
- 出版年：2006
- 期刊代码：20_00222291
- 类别：law
- 卷：144
- 期：1-3
- 页码：13-34
- 数据来源：sp
摘要
We solve the problem of phonon transmission through the interface between a quantum fluid with anomalous dispersion and a solid, for arbitrary angles of incidence. The Wiener–Hopf method is applied to solve the equations of the quantum fluid in the half-space, and in particular the solution is obtained for the dispersion relation of a Bose–Einstein condensate (BEC) and of superfluid helium at small wave vectors. It is shown that the solutions are running waves deformed near the border by specific surface standing waves. Boundary conditions are used to derive the transmission and reflection coefficients for the phonons, incident on either side of the interface, as a function of the incidence angles and the phonon frequencies. The deformation of wave packets passing through the interface is described both far from and near to the critical incidence angles.