Need help with baking gradient map

The scene right now in Texture view mode and with a few point lights is the texture I want to bake, but trying out all of the baking options none of them give me what I want, so the question would be how do I acquire this texture of the point light with an original texture of pure white?


I think what I’m looking for is a gradient map, but I can’t find any tutorials for it. Only ones for Maya etc.