True Paul, you are correct, I do not totally agree with your #50 post.
I am immensely aware that even a very finely sanded and polished wood surface is not a proverbial flat plane. Years ago, I was bothered by two things - the statement that sanding clogs the wood pores, and the way that wood stain acts - well, they also tied into myths within the bbq world. If you took culms of bamboo, rive them into equal halves longitudinally, turn them split sides out and hot glue them to something flat, you would end up with something resembling the surface of seasoned wood. That was an epiphany for Lil Mikey. Yet, it did not by itself explain lots of my questions at the time - but keep that vision in mind. Just postulations. Ok, tie that idea of the wood surface into a common tablespoon. Take a common shiny table spoon. View the back of the spoon - the convex part and what do you see? I see Lil Mikey's ugly face reflected back at me. Now turn the spoon around and view the concave side. Now I see Lil Mikey's face, but upside down and opposite handed. And since the bowl of a spoon is not part of a perfect sphere, the reflection is somewhat distorted making Lil Mikey more uglier. There has to be some magic involved since if you could hold the spoon close enough to your face the face would be right side up, but turn upside down as it moves out. Has to do with angles of reflectance and where that and the rays along the axis intersect. So then Lil Mikey wondered what would happen if instead of a sphere there was a shiny tube. The reflection on the outside of the tube is right side up no matter which direction the tube is positioned. But when Lil Mikey wanted to see what the inner concave surface of the tube would do - he was stymied - there ain't a lot of shiny half tubes around - so he dropped his inquiry until one day much later. One day he was sitting on th.......errr....the throne, when he happened to note that the toilet paper holder was shiny and the part that was recessed into the wall was tubular and concave. Eureka! So this being a construction company, we always have leftovers and knew I had noticed some out in the warehouse. So finished my duty and went to the warehouse to find out that the day before the leftovers had been given to Habitiat. So Lil Mikey went back into the little room, shut AND locked the door - didn't want anyone to think he was strange in any way. He sat on the floor, removed the toilet paper and looked at his reflection in the toilet paper holder body. If his face was perpendicular with the axis of the tube, then his face was upside down, but correct handed. Along the axis of the tube everything was "normal", but perpendicular it was upside down. Now all that could probably have been discovered with ray diagrams, but it was certainly more fun to sit on the floor of a bathroom to make the discovery! BTW the restroom has a faucet with a shiny chrome concave shape where at about a foot from it, the reflection turns upside down! For those who want to know - it doesn't take much to fascinate Lil Mikey1
So that is the reason for all the questions about light travels, angles of reflection and such. What they have recorded is a constant axis, and a constant angle between the light and the axis. The light does however, travel at differing angles from the longitudinal axis of the piece of wood. They found that brightness peaks when it is perpendicular to the fiber axis. That would make sense (I think) if the light is reflecting off of a concave tubular surface. If from a sperical surface as the light traverses it's course, all angle would be the same relative to the axis and should not change. Same with a perfectly flat surface.
"If you look at the surface of the Earth from far enough away it appears flat, but when you get up close enough you see that it has peaks and valleys." That is a partial explanation. True, our eyes are not capable of resolving detail from 100,000's or 1,000,000's miles away. It would be like comparing the resolution power of a 2mp camera image on a very low resolution monitor to the beautiful tonality and detail of an Ansel Adams contact film print taken with his 8x10 Deardorf. The earth is 1 AU from the sun or 93,000,000 miles (avg of the aphelion and the perihelion). Even though the sun is immense in comparison to the earth - at 93,000,000 miles it acts as a focused point of light with very little spread. So viewing the earth from miles and miles away with the sun at our back, there would be little if not any discernible shadows - therefore - little contrast to discern shapes by. Kinda like the proverbial overhead photo of camels on a sand dune lit by either a setting or rising sun. Shadows are thrown that allow you to ascertain the shape. If it was shot with the sun directly overhead (90 deg to surface) and the camera also at 90 deg to the surface all you would see would be the exterior outline of the camel from above and might not know it is a camel.
"Sanding gets rid of at least the biggest variations in the peaks and valleys in the wood which is why well sanded wood will show chatoyancy that rough wood won't." This is why my question of whether the reflectance is from the cut edge of the dead cell walls or from the concave inner surface of the cut open cell wall. In reality there could be a certain number of uncut dead cell walls (convex surfaces). The smaller the cell, possibly the greater number of uncut cells and more reflectance. If the brightest reflectance is due to fiber orientation, it should not make a difference that there is hills and valleys. Yes it does make a difference to bent wood fibers such as curl and quilt. I would suspect that sanding is and its effect on chatoyance is more mechanical. As cut the edges of the dead cell walls are pretty ragged and may cause at least part of the light exiting the empty cell to be diffused or specularized. By sanding those fuzzy cell edges are smoothed out and might not diffuse the light as much. It would be nice to have a scanning electron microscope in the back bedroom to use to answer just such a question. I would assume the way to know this is to observe how the light reacts when perpendicular to the fiber axis. But my brain isn't big enough to know the answer. Or is the light acting like a gem. Faceting of a gem has a lot to do with how much sparkle (reflection) and the color of the sparkle (refraction) it has. A facet is a cut and polished small flat face of a gem. There may be thousands on a certain gem cut pattern - each cut to a high degree of accuracy and precision. A ray of light passes through a facet and is reflected off the facets on the opposite side of the gem. If those facets are somehow aligned such that the light ray eventually pass back out that facet - then the facet sparkles. If the facets are somehow aligned such that the light bounces around and exits the gem through other facets then that facet is dark. I wonder if the inner walls of the cell act in that way? And yes, I have a faceting machine!