I don't think we should eliminate "diffused light" from the discussion. There are diffuse materials, and there is diffuse light. You've talked about diffuse materials...which create diffuse light! Diffuse light itself matters as well. The very simplistic geometric example of just three rays doesn't really demonstrate the nature of rays with diffused light, as it would be less coherent than the example you demonstrated in your previous post... Your three incoming rays are fairly coherent, whereas with diffused light coming from all directions, there wouldn't be that neat coherence producing a specular highlight as your example demonstrates.
I understand all the theory you are describing, and I completely agree with your description of why you used the matboard. I was trying to say the same thing...you are creating a band of brighter light that creates a "neat" reflection. I don't disagree with that assessment.
There is such a thing as diffused light, though. The very word "diffuse" means to "spread out over a large area"...i.e. to create a "large" light! I think the commonly understood term here IS diffuse light. That's what a light tent does...through the process of diffusion, it enlarges the area around the subject from which the wavefront propagates. I have two large lights...around 3 feet tall or so, and about a foot and a half wide. Without their diffusers attached, they are largely a small, 5" diameter light source. With the diffuser attached, they produce a fairly evenly illuminated 3.5'x1.5' bright box of light.
I still get what you are saying, that moving a light source back can also enlarge it when using a tent. The wavefront expands outward from the source (what we also call the inverse square fall off of light, which means that while the wavefront is larger, its also less intense...meaning the farther away your light source, the more of an impact it will have on your exposure settings). So yes, moving a light farther away will enlarge the light source within the tent. But it only does so, because of the diffusion the tent applies to the wavefront... So its definitely about diffuse light. Without the tent, a distant point light source...is still a point light source... (By point, I mean small, not technically a true "point" in the mathematical and optical sense.)
I understand all the theory you are describing, and I completely agree with your description of why you used the matboard. I was trying to say the same thing...you are creating a band of brighter light that creates a "neat" reflection. I don't disagree with that assessment.
There is such a thing as diffused light, though. The very word "diffuse" means to "spread out over a large area"...i.e. to create a "large" light! I think the commonly understood term here IS diffuse light. That's what a light tent does...through the process of diffusion, it enlarges the area around the subject from which the wavefront propagates. I have two large lights...around 3 feet tall or so, and about a foot and a half wide. Without their diffusers attached, they are largely a small, 5" diameter light source. With the diffuser attached, they produce a fairly evenly illuminated 3.5'x1.5' bright box of light.
I still get what you are saying, that moving a light source back can also enlarge it when using a tent. The wavefront expands outward from the source (what we also call the inverse square fall off of light, which means that while the wavefront is larger, its also less intense...meaning the farther away your light source, the more of an impact it will have on your exposure settings). So yes, moving a light farther away will enlarge the light source within the tent. But it only does so, because of the diffusion the tent applies to the wavefront... So its definitely about diffuse light. Without the tent, a distant point light source...is still a point light source... (By point, I mean small, not technically a true "point" in the mathematical and optical sense.)