The lens does not act as a light energy amplifier, only an attenuator. It attenuates because it cannot collect more light that what is present at the entrance pupil. Thus the notion of intensity becoming greater over the entire image plane is more than questionable, it is untenable. (Light amplifier devices as in night vision are different as they use electronics and trade more intensity for restricted bandwidth and more noise. Thus they raise the gain of the entire optical system. A lens is a passive device, however).
A true point light source can be focused into an equivalent focal point ("burn point" for the sun, which is at infinity focus). At that single point in the film plane, intensity of the imaged scene (not the total light of the source) is increased. However, an image is created by many points. One cannot have the light intensity of all of them being greater at the same time over the time average of a photographic exposure. That would imply the lens creates light on its own.
An illustration (from underwater optics*, in which the water surface is the refractive interface): we are all familiar with the reticulated pattern of lights spots travelling over the bottom of the shallows or the swimming pool. These light trains are focused sun light. When one measures the spatial distribution of these underwater "light flashes", they do focus at a depth given by the curvature of the water surface in a very small area (actually, the surface film has a topography of fractal nature). Around their focal points, the light intensity can surpass that at the surface for a brief period of time. Their time averaged intensity, however, is precisely the attenuated fraction of incident irradiance commensurate with the optical parameters of the water body. In fact, the reticulated pattern is caused by most of the incoming light being defocused and hence reduced in intensity.
* studies conducted at the NIWA research facilities at Christchurch, NZ, while I was a visiting scientist there in the mid '90s