Dissipative Properties of Systems Composed of High-Loss and Lossless Components
Mathematical Physics
2015-06-03 v3 math.MP
Spectral Theory
Abstract
We study here dissipative properties of systems composed of two components one of which is highly lossy and the other is lossless. A principal result of our studies is that all the eigenmodes of such a system split into two distinct classes characterized as high-loss and low-loss. Interestingly, this splitting is more pronounced the higher the loss of the lossy component. In addition, the real frequencies of the high-loss eigenmodes can become very small and even can vanish entirely, which is the case of overdamping.
Keywords
Cite
@article{arxiv.1201.4122,
title = {Dissipative Properties of Systems Composed of High-Loss and Lossless Components},
author = {Alexander Figotin and Aaron Welters},
journal= {arXiv preprint arXiv:1201.4122},
year = {2015}
}
Comments
Revision; Improved exposition and typos corrected; 45 pages, 4 figures