Thespectraldensityofthequasi-homogeneous(QH)lighthasbeenknownwhenitscattersonQHmediaorpropagatesinfreespace.ThecasethatQHsourcesaresurroundedbyQHmediaisproposedinthispaper.Undertheparaxialapproximation,thespectraldensityoftheQHlightpropagatingthroughQHmediaisderived.AmodifiedscalinglawforthepropagationoftheQHlightthroughQHmediaisalsoobtained.Thislawalsoholdstrueinthefarfieldbeyondtheparaxialapproximation.