I assume you ran the head up as far as possible and are still lacking 3/8 inch.
This sounds about right if you removed the reflector, because the spring loaded post is all the way up without the reflector, so I doubt you have the wrong lens.
Put reflector back in and make sure you can get a nice small hot spot.
The hotspot will be a small sharp square image of the LED die like the ones you see that others have posted.
Once you are sure that everything is ok, there are THREE ways to proceed.
1. Leave the reflector in and ignore the rings. The light that hits the reflector wasn't going to hit the lens anyway, so you won't loose any of the hotspot (though some don't like uneven rings of light this creates)
2. To avoid the rings with the reflector still in place, you can simply paint the reflector FLAT BLACK with some spray paint (you should rough up the inner surface with course sandpaper first, because even a flat black surface reflects a little if it's smooth).
3. To avoid the need to use the reflector at all, you can simple use your finger to push the lamp mounting post mechanism down a half inch or so, and then squirt some hot melt glue into the works to lock it in place so it doesn't pop back up and mess up the focus.
Leaving the reflector in place and painting it black, leaves the angled bulb-up/bulb-down focusing mechanism on the back of the reflector in place, so once you find the rough focus, the light will run through the full wide-to-spot focusing range in a single turn of the bezel head.
Taking the reflector out and adjusting the post height then locking it down with glue, disables the up-down post focusing mechanism, giving the light a slower 'micrometer' style focusing adjustment. Focus can still be adjusted over the full flood to spot range, but you will have to turn the light's bezel head turn by turn up through several 360 degree turns to get the same range you get with the reflector in a single turn.
Hope this helps.