Abstract
The linear response of non-Hermitian resonant systems demonstrates various intriguing features such as the emergence of non-Lorentzian lineshapes. Recently, we have developed a systematic theory to understand the scattering lineshapes in such systems and, in doing so, established the connection with the input/output scattering channels. Here, we follow up on that work by presenting a different, more transparent derivation of the resolvent operator associated with a non-Hermitian system under general conditions and highlight the connection with the structure of the underlying eigenspace decomposition. Finally, we also present a simple solution to the problem of self-orthogonality associated with the left and right Jordan canonical vectors and show how the left basis can be constructed in a systematic fashion. Our work provides a unifying mathematical framework for studying non-Hermitian systems such as those implemented using dielectric cavities, metamaterials, and plasmonic resonators.
Original language | English (US) |
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Pages (from-to) | 229-236 |
Number of pages | 8 |
Journal | Optical Materials Express |
Volume | 13 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2023 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials