This is a sample of an ultramafic rock:
I think this is either a phlogopite-hornblende-olivine peridotite or a pyroxene peridotite- I had (and still have) trouble distinguishing between pyroxene and amphibole in this sample. Major minerals: serpentinized olivine phenocrysts, horneblende or...
Asking on behalf of a colleague who is studying rainwater transport/drainage in the context of plants (trees, mostly):
There's a lot of published work analyzing the flow of fluid within a tube, or along an interior corner. I can't seem to find much of anything about the flow of water along the...
I'm concerned we are not making progress here.
To proceed, I need to know that you can evaluate the Fourier integral F(k)=∫f(x)eikxdx when f(x) is a plane wave with wave-vector k'.
I also need you to provide evidence (for example, a calculation) that verifies your claim "If you place a...
Be careful- the FT does not just happen, it is a consequence of Fraunhofer's approximation to the Rayleigh-Sommerfeld diffraction formula.
You had me, then you lost me. The function δ(k-k') does not mean that if k ≠ k', there are equal numbers of positive and negative points. It does mean...
I don't know what you mean by "real understanding".
A lens doesn't always perform a Fourier transform. What a lens *can* do is bring the far-field a lot closer.
How about this- evaluate the Fourier integral F(k)=∫f(x)eikxdx when f(x) is a plane wave with wave-vector k'. What is the result...
Maybe it would help to think of "the far field" as Fourier transform space (equivalent to 'k-space' in scattering) of the object plane; a single plane wave is of infinite extent and has a single wavevector and thus transforms to a single point.
If that plane wave is instead truncated by an...
I had a chance to take a few careful images of arfvedsonite crystals today, I think I found an arrangement with both 'head cut' and longitudinally oriented crystals in the field of view. Here's a photo with just the (EW) analyzer present:
On the right side, the crystal is in the 'head-cut'...
Last night I realized I need to be more careful in my polarizer description/analysis. The polarizer may indeed be oriented NS, but then the analyzer is EW, so for PP imaging I may need to be more specific about which polarizing element is in the path... stay tuned!
Don't mix up energy and momentum- momentum is a vector, for example. In an elastic collision, changing the direction of propagation requires a change in momentum but no change in energy.