Ok I did these two diagrams as a way of clarifying my question.
The first one is an animation:
My interest is in the relationship between the radius, the speed of radius increase [which is always 'c'] and the speed of growth in the reflection.
From what I see there would be two curves involved, the curve of the wave and the plotted curve of the reflections growth.
I was interested in how they would compare and how the radius effected those two curves.
I do believe Q has given the formula for which I thank him/her for.....
Maybe Q or someone else can help me in working out how to ask this question properly?
it seems to me that the ratios involved will change as the distance betweeen light source and reflector changes. Noting that this is different to just an increace in radius due to light propagation.
Ie:
Distance to star is 4 light years, wave propagation is 'c', the reflector is stationary relative to Light source, compared to :
Distance to light bulb in room is 10 meters, wave propagationis 'c', walls are stationary to source.
The curves involved are would be very differnet me thinks....so the relationship with distance between source and reflector is very important.
Please excuse my rambling......just trying to work through this light, distance curve relationship.......