Σ-D relation for supernova remnants and its dependence on the density of the interstellar medium

During the last couple of decades of work on the Sigma-D (radio surface brightness to diameter) relation for supernova remnants (SNRs), it has been generally accepted that no single Sigma-D relation can be constructed for all SNRs. However, it may still be possible to construct the relations for some classes of SNRs. In our previous paper we analysed Sigma-D relation(s) for remnants in the dense environments of molecular clouds. The aim of this paper is to examine, in the same context, a class of oxygen-rich SNRs, and to extend the analysis to remnants evolving in lower-density interstellar media, namely Balmer-dominated SNRs. We have obtained good relations with certain similarities to our previous findings - similarities that emphasize, again, the role of ambient density in the evolution of SNRs.