Silly question but can you check that the lens is all clean and shiny and that it is inserted the right way into the beam? (i mean these things usually have a front and back side i.e. a right and wrong side....)
Seeing that this is an f = 1.49 mm lens, the diode will need precise centering to the lens (mechanical tolerance of the diode mount and lens holder can offset the centering and cause artifacts such as this noise you see). Centering means that the beam hits the lens exactly in the middle and at 90degrees angle. However, I feel judging by the spot shape that this is probably not the only cause of noise, at least the centering does not look off to me
I do feel that this is mainly down to the lens being a glass molded type. Can you forward this pic to thorlabs and ask them too?
The easy way to filter this "noise" is use a masking aperture and block the stray light (i.e. a 3mm hole some distance away frm the diode), or if your application uses scanning galvanometers leave the galvo mirrors to act as appertures and cut out the stray light (at least significant portions of it)
The best and more precise way it to use a two identical lenses to form a 1:1 telescope and place a sub 0,5mm hole right into the focus point in the middle of the telescope. This is called a spatial filter and can be quite expensive. Its precise hole size can be calculated to fit your beam properties but it generally is in the order of 100-200microns (0.1-0.2mm). This will yield the best results, but also require precise micro-positioning in order to make it work and not cut your beam to almost zero light coming out...
So, it all depends on your application and the amount of beam quality you need. Just my two cents, I am no expert in lenses myself
Something like a spatial filter can be seen here (no precision equipment used, it was just a quick and dirty setup as proof of concept, the losses can be seen just by looking at this picture
By the way, what diode are you using? The spot size at 10meters using an f1,49 lens is very nice. Most probably single mode, low power diode?
"its called character briggs..."