In this paper, we present new empirical radio surface-brightness-to-diameter (Σ–D) relations
for supernova remnants (SNRs) in our Galaxy. We also present new theoretical derivations
of the Σ–D relation based on equipartition or on a constant ratio between cosmic rays and
magnetic field energy. A new calibration sample of 60 Galactic SNRs with independently
determined distances is created. Instead of (standard) vertical regression, used in previous
papers, different fitting procedures are applied to the calibration sample in the log Σ–log D …

ERRATUM: “THE RADIO SURFACE BRIGHTNESS TO DIAMETER RELATION FOR
GALACTIC SUPERNOVA REMNANTS: SAMPLE SELECTION AND ROBUST ANALY …
ERRATUM: “THE RADIO SURFACE BRIGHTNESS TO DIAMETER RELATION FOR
GALACTIC SUPERNOVA REMNANTS: SAMPLE SELECTION AND ROBUST ANALYSIS
WITH VARIOUS FITTING OFFSETS” (2013, ApJS, 204, 4) … 2218 “The Study of Physical
Structures of Shock Waves and Their Effects on Supernovae Remnants.” …