Angular spectral plane-wave expansion of nonstationary random fields in stochastic mode-stirred reverberation processes

作     者：Luk R. Arnaut 

作者机构：Time Quantum and Electromagnetics Division National Physical Laboratory Teddington TW11 0LW United Kingdom and Department of Electrical and Electronic Engineering Imperial College of Science Technology and Medicine South Kensington Campus London SW7 2AZ United Kingdom 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2010年第81卷第4期

页      面：041133-041133页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：Reverberation 

摘      要：We derive an integral expression for the plane-wave expansion of the time-varying (nonstationary) random field inside a mode-stirred reverberation chamber. It is shown that this expansion is a so-called oscillatory process, whose kernel can be expressed explicitly in closed form. The effect of nonstationarity is a modulation of the spectral density of the field on a time scale that is a function of the cavity relaxation time. It is also shown how the contribution by a nonzero initial value of the field can be incorporated into the expansion. The results are extended to a special class of second-order processes, relevant to the reception of a mode-stirred reverberation field by a device under test with a first-order (relaxation-type) frequency response.