Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Goettingen, Germany.
Phys Rev Lett. 2013 Jul 5;111(1):013901. doi: 10.1103/PhysRevLett.111.013901. Epub 2013 Jul 2.
Waves traveling through weakly random media are known to be strongly affected by their corresponding ray dynamics, in particular in forming linear freak waves. The ray intensity distribution, which, e.g., quantifies the probability of freak waves is unknown, however, and a theory of how it is approached in an appropriate semiclassical limit of wave mechanics is lacking. We show that this limit is not the usual limit of small wavelengths, but that of decoherence. Our theory, which can describe the intensity distribution for an arbitrary degree of coherence is relevant to a wide range of physical systems, as decoherence is omnipresent in real systems.
众所周知，波在弱随机介质中传播会受到相应射线动力学的强烈影响，特别是在形成线性奇异波时。然而，射线强度分布（例如，量化奇异波的概率）是未知的，并且缺乏关于它在适当的波力学半经典极限中如何逼近的理论。我们表明，这个极限不是通常的小波长极限，而是退相干极限。我们的理论可以描述任意相干度的强度分布，与广泛的物理系统相关，因为退相干在实际系统中无处不在。
