That looks to be a problem we are defining. To clarify, you can get this on EVERY camera with a lens that sticks out and a popup flash. Whether it's a DSLR or Bridge camera, etc. To test this, just take a business card, paper plate, piece of paper or anything solid white and use as a reflector. Place it up front and up from the popup to reflect light into the shadow area. A speedlight simply puts the flash higher up so that the angle to the lens isn't so shallow. So when you do a shot like this the light has more spread without something (the lens) in it's way. You can experiment with your hand to block the light too, just like doing shadow puppets.