More important than the thickness of the polycarbonate panel is the method used to mount the panel in your opening.
Also not sure if you want 4mm or 6mm from your post, I would not expect 4mm panels to technically pass the requirements for impact, but 6mm panels might....of course 1/2 plywood wouldn't pass the test and even 5/8 and 3/4 plywood don't always stop the 2x4 either. I would definitely consider the 6mm over 4mm.
Speaking to your engineering background, laminated glass is used for the vast majority of impact windows. Although there are different options, laminated glass typically consists of two glass layers bonded to a plastic interlayer, usually PVB or polyvinyl butyral, but often SentryGlas which is brand ID for duPont (now Kuraray) Surlyn ionomer film that is stiffer and more tear resistant than PVB. SG is similar to acrylic or polycarbonate in stiffness and tear resistance (although somewhat less tear resistant than either of those materials), but it bonds to most metals and glass under the heat and pressure of the laminating process; something neither polycarbonate nor acrylic can do without a bonding layer of a different material. Although I am aware of companies using polycarbonate in a laminated glass application, the requirement for the bonding layer (usually a polyurethane) makes it more difficult to produce and there are issues with field failures due to substantial differences in coefficient of expansion between glass and plastic.
The thinnest laminated glass that I have seen pass impact is about 7mm (2.3mm glass / 2.28mm interlayer / 2.3mm glass), 6mm polycarbonate should have substantially more impact resistance than a 7mm laminated glass in that configuration. The thickest I have seen was 1 1/4" overall (exact make-up proprietary last I know of) for tornado impact testing. Hurricane impact is 8', 9#, 2x4 at 50fps. Tornado impact testing is 12', 15#, 2x4 at 150fps. The tornado testing that I witnessed resulted in a shattered 2x4 on almost every impact and less than half of the glass samples even broke.
All of which comes back to using thin sheet polycarbonate as a shield over your window.
Once again the major consideration is how you mount it, and when mounted correctly, (I am NOT recommending, but), I personally would be comfortable using a 6mm polycarbonate shutter over my windows in a hurricane to protect my home. But keep in mind the primary purpose of shutters, or impact glass, or whatever else is used is to protect the home, not the occupants. The best place to be in a major storm is elsewhere.
As an aside, I have watched youtube videos of people building their own shutter systems out of wood, one out of reclaimed pallet wood, and while they look pretty nice in some cases, I would not give them 10 minute survival time in the case of a major storm. Using polycarbonate is a MUCH better idea.
Background: I have performed, supervised, observed and/or evaluated the impact test (MDC and ASTM) over 3000 times over 20 years and also spent a few years on the ASTM committee that specifies the test requirements.