> So in order to work around this issue, you must "mix" the media yourself in the
> overlapping area.
>
> You'll probably have to define your spheres without a material first, make a
> union of them, and then equip that union with as many media{} statements as you
> have spheres (make sure to translate each of them like you translated the
> corresponding sphere).

I was able to get close to what I needed by doing as you suggested. I will
continue to work on it, but here is a modified program that creates a glow
cylinder by creating and translating media interiors within the cylinder.
Thanks for the hint!!

 background { rgb 0 }
 camera { location <0,6,0>
          look_at 0
          //angle 35
          }
 light_source { <20,40,10>, 1 }

 box // floor
 { <-1.5,-1.01,-1.5>, <1.5,-1.2,1.5>
   pigment { checker rgb 0.75, rgb 0.25 scale 0.2 }
 }

#declare NumGlows = 10;
#declare Radius = 1;

#declare Rod = cylinder { <-1,0,0>, <1,0,0> Radius
   pigment { rgbft <1,1,1,0,1> }
  #declare i = 0;
  #while (i < NumGlows)
    hollow
    interior
    { media
      { emission .3
        density
        { spherical density_map
          { [0 rgb 0 ]
            [0.4 rgb <1,0,0>]
            [0.8 rgb <1,1,0>]
            [1 rgb 1]
          }
        }
        translate x*(-1+2*i/(NumGlows-1))
      }
    }
    #declare i  = i + 1;
  #end
}

object { Rod scale 3*x }

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