Dissipative Properties of Systems Composed of High-Loss and Lossless Components

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.

Revision; Improved exposition and typos corrected; 45 pages, 4 figures

References in corpus (4)

• Spectral Theory of Time Dispersive and Dissipative Systems
• Hamiltonian structure for dispersive and dissipative dynamical systems
• Absorption suppression in photonic crystals
• Open Systems Viewed Through Their Conservative Extensions

Cited by in corpus (5)

• Eigenvalue dynamics in the presence of non-uniform gain and loss
• The functional model for maximal dissipative operators: An approach in the spirit of operator knots
• Lagrangian Framework for Systems Composed of High-Loss and Lossless Components
• Canonical decomposition of dissipative linear relations
• On overdamping phenomena in gyroscopic systems composed of high-loss and lossless components