Recent content by fannyfanfanz

If the propagation direction of the shear wave is not parallel to the c-axis (assuming the material is transversely isotropic), the shear wave will split at normal incidence.

Hi, When a linearly polarized shear wave enters an anisotropic material, shear wave splitting (a fast and a slow shear waves) will occur. My question is, under normal incident, will the fast shear wave speed vary if the polarization of the incoming shear wave changes? Thanks!

How to define the plane of incidence for normal incidence of a plane polarized wave? Is the reflection coefficient defined by ordinary, extraordinary, or the combination of both waves? Thanks for the help!

Is the direction cosines method you used based on Goldstein (Classical Mechanics)?

Thank you for your help! I am still a little confused, and I have several more questions. For the example that you gave above, you said that "this represents a single axis rotation by arccos(1/4)." Where does the 1/4 come from? How did you get [+/-1+/-sqrt(5)] / 4 in the transformation matrix...

Could you please show me in detail how you could get 20.9052°, 69.0948°, 110.9052°, and 159.0948°?

Thank you for your reply. I don't really understand your answer. Just trying to imagine these two orthogonal coordinate systems in my head, and you would think one would be able to determine that angle. I don't know, maybe I am wrong...

No, it's not. It's related to my research project on light polarization, and I am stuck on this...

But the angles between z' and x, z' and y are unknown.

Are you saying that [(the projection of x' on xy plane)^2 + (the projection of y' on xy plane)^2] = (the projection of z' on xy plane)^2?

I've been thinking about this question for a couple days now. I have a hard time imagining and deriving it. Any help will be appreciated!

If two orthogonal coordinate systems (xyz and x'y'z') share a common origin, and the angles between x and x', y and y', and z and z' are known. What is angle between the projection of z' on the xy plane and the x axis? Thank you for your help!