Light-matter interactions in photonic nanostructures including microcavities, waveguides, plasmonics, and quantum dot emitters opens a wide range of exciting optical regimes, with applications ranging from quantum light sources to sensing and low-threshold lasers. This talk will describe some recent developments in the efficient modelling of these complex optical systems, covering a range of topics, including long-range disorder effects in slow-light photonic crystal waveguides, intrinsic losses in topological edge states, and quantized quasinormal modes for understanding quantum optics in plasmonic systems and cavity-QED. All the theoretical approaches exploit intuitive mode theories, combining the benefits of physical intuition with efficient modelling techniques.
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