Recent content by dykuma

  1. dykuma

    I Fabry-Perot Interferometer mirrors

    I want to try to do spectroscopy of TLE's (sprites and things like that). They are quick and very faint, so using a regular narrowband filter might make them too hard to see. I was inspired by how solar telescopes use F-P's to observe fainter solar flares, and figured something similar was...
  2. dykuma

    I Fabry-Perot Interferometer mirrors

    Thanks for the response, I appreciate it. Also sorry for taking so long to respond, I've been busy. Right, so the mirror I used wasn’t intended to be the final one. Mostly I was interested in seeing if it was possible at all to get fringes before I either attempted to make my own mirror or...
  3. dykuma

    I Fabry-Perot Interferometer mirrors

    I am trying to build a Fabry-Perot interferometer to make some narrow band filters, and I was wondering if anyone can go into the specifics of whether there's anything special about the types of mirrors used in construction. I started by trying to see how hard it really is to make one on my...
  4. dykuma

    A mathematical description of the physics behind Aurora?

    I should have clarified, I was asking about the colors/wavelengths of light of excited gasses (N2 and O2) as a function of altitude. Lightning at lower altitudes is blue, where light from excited nitrogen is dominate, and I was considering the excitation due to lower and upper atmospheric...
  5. dykuma

    A mathematical description of the physics behind Aurora?

    Maybe a bit of an odd question (not really sure where it would belong on this site to be honest), but I was wondering if anyone can explain, or at least knows of a source that explains in a quantitative way, the physics behind aurora? Now I've seen websites like this that discuss conceptually...
  6. dykuma

    Force density from an electromagnetic field

    Actually, I see that I made an error there. I'm not sure this makes sense though. I would expect there to be some mechanical work done (because the energy per volume is not zero), but because of the dot product (I'm dotting everything that's in the ##\hat x## direction with the current density...
  7. dykuma

    Force density from an electromagnetic field

    To go through all of this then, does this look correct to you?
  8. dykuma

    Force density from an electromagnetic field

    Right, so because: $$ \vec J = \rho \vec v$$ So I want: $$ P_V = \vec F \cdot \frac {\vec J} {\rho}$$ ?
  9. dykuma

    Force density from an electromagnetic field

    So then, what did I do wrong here?
  10. dykuma

    Force density from an electromagnetic field

    That's what I thought. However, when I tried to simplify it, I got: $$\nabla \times (\vec B \times \vec B) = \vec B(\nabla \cdot \vec B) - \vec B(\nabla \cdot \vec B) + (\nabla \cdot \vec B)\vec B - (\nabla \cdot \vec B)\vec B = 0$$ But when I actually carried out the work, I got an answer. I...
  11. dykuma

    Force density from an electromagnetic field

    Nevermind, I figured it out. The problem was that I took the cross product incorrectly. it should have been: $$(\nabla \times \vec B) \times \vec B$$ not $$\nabla \times (\vec B \times \vec B)$$
  12. dykuma

    Force density from an electromagnetic field

    My guess is that the force per volume is: $$ \vec F_V = \rho \alpha x \hat x + \vec J \times \beta x \hat y$$ but I'm not sure where to go after that. I'm not given a value for either the charge density or the current density, so I can't simplify the relation much. Further, I'm not sure if my...
  13. dykuma

    How Can I Accurately Determine the Critical Angle in an Unknown Material?

    First, I attempted to find the wavelength of the incident wave in the required terms: Next, I tried to find the wavelength inside of the material: And then lasted, I tried to find the critical angle: My issue is that 1) I don't know if what I did was correct. 2) I don't think what I did...
  14. dykuma

    Hermitian Matrix and Commutation relations

    I think I roughly see what's happening here. > First, I will assume that AB - BA = C, without the complex number. >Matrix AB equals the transpose of BA. (AB = (BA)t) >Because AB = (BA)t, or because of the cyclic property of matrix multiplication, the diagonals of AB equals the diagonals of...
  15. dykuma

    Evaluating an integral of an exponential function

    I had thought about looking through his channel, but I was not sure what to look for on there. That's exactly what I needed though. Thanks!
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