Hi Dr Sassi, So I was able to make the gaussian beam as I mentioned, with a 2 height segment cylinder, with middle loop appropriately squeezed. I was able to make it look good with some RS shaders (crucially, had it go transparent when overlapping the lens etc using ramps to mask it with material blender nodes; and I managed to make the light beam itself look okay too, using a combination of noise, fresnel, etc.).
Indeed it was the peak intensity when the beam is converging that proved most difficult! https://i.ytimg.com/vi/MU4eOJw2sBQ/maxresdefault.jpg
(like this is what I was going for, except my light beam is just a single color). I tried for half a day to get something like this, but I just couldn't get anywhere appreciable close... and yes, in the end I did it in photoshop (with duplicated cascades of oval shapes, one slightly larger than the other). I kept fantasizing in my mind about the ability to define a valume structure kind of like how the guy in the linked blender video does... programmatically, or however which way, and also being able to use a shader to model the point-spread which I eventually resigned to doing in photoshop... but oh well, maybe one day.
I will continue a bit more to refine what I have, but I think it's more or less acceptable what I've got going.
Thank you for your time and consideration.