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

TL;DR

This paper analyzes systems with both highly lossy and lossless components, revealing that eigenmodes split into high-loss and low-loss classes, with high-loss modes potentially overdamped and frequencies diminishing.

Contribution

It demonstrates the eigenmode splitting into high-loss and low-loss classes and characterizes the overdamping phenomenon in such mixed systems.

Findings

Eigenmodes split into two distinct classes based on loss characteristics.

Higher loss in one component accentuates the mode splitting.

High-loss eigenmodes can become overdamped with vanishing frequencies.

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.