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We propose a geometry-specific, mode-selective quantization scheme in coupledfield-emitter systems which makes it easy to include material and geometricalproperties, intrinsic losses as well as the positions of an arbitrary number ofquantum emitters. The method is presented through the example of a sphericallysymmetric, non-magnetic, arbitrarily layered system. We follow it up by aframework to project the system on simpler, effective cavity QED models.Maintaining a well-defined connection to the original quantization, we derivethe emerging effective quantities from the full, mode-selective model in amathematically consistent way. We discuss the uses and limitations of theseeffective models.

Mode-selective quantization and multimodal effective models for spherically layered systems