Recent content by stephen8686

  1. stephen8686

    I Propagation of Angular Spectrum Code

    I'm making a MATLAB code to propagate a gaussian field in the angular spectrum regime (fresnel number >> 1). After Fourier transforming the field, you propagate it: $$U(k_x,k_y,z) = U(k_x,k_y,0)e^{ik_z z}$$ The thing that I am having trouble with is the propagation factor, I have looked at this...
  2. stephen8686

    Questions about Circuit Models of Transmission Lines

    So the top wire represents the transmission line and the bottom is ground? And why would a transmission line act as a lo pass filter?
  3. stephen8686

    Questions about Circuit Models of Transmission Lines

    This is for my graduate EM Theory class. My background is physics/optics, so I was able to understand when we solved maxwells eqs. for waves propagating between parallel conducting plates, but that lead into the lumped element circuit model of transmission lines which I don't understand. I've...
  4. stephen8686

    Orientation of Major Axis for polarized light

    You are correct. Your professor might also want you to say if it is right-hand or left-hand circular polarized. More information can be found here https://en.wikipedia.org/wiki/Jones_calculus And you can use euler's equation to make the exponential into trig functions and plug in the angle.
  5. stephen8686

    I Entanglement, Mixed or Pure State?

    I have a source that says when two particles are entangled, we must describe them using the density operator because it is a mixed state. But I have another source that says that the singlet state of two spins is an entangled state, but that has a wavefunction. So could someone explain what I am...
  6. stephen8686

    I Maximum impact parameter given effective potential

    That's what the answer says, "The condition for capture is therefore ##V_{eff}^{max}\leq E## " That is the part of the answer that I don't understand
  7. stephen8686

    I Maximum impact parameter given effective potential

    This problem is from David Morin's classical mechanics textbook: I am having trouble with Part b. Here is the textbook's answer: I do not understand why large particle energies lead to capture. I would think that smaller energies would lead to capture because the particle wouldn't have enough...
  8. stephen8686

    A Jaynes-Cummings Density Operator Evolution

    I am studying two level atoms interacting with fields in order to study Dicke Superradiance. From Loudon's book, the Optical Bloch Equations for a two level atom interacting with a field say (with rotating wave approx): $$\frac{d\rho_{22}}{dt}=- \frac{d\rho_{11}}{dt} = -\frac{1}{2}...
  9. stephen8686

    Courses Quantum Optics, Feeling Overwhelmed and Underprepared

    I am an undergraduate at a fairly well known research university. I have taken undergraduate QM 1, QM 2, and the graduate course on Quantum Optics. I got As in all of them and found them not very difficult. Now I am in a research group researching superradiance. I do not feel like any of my...
  10. stephen8686

    Heisenberg's Uncertainty Principle Question

    So with the \gamma=\frac{1}{\sqrt{1-\beta^2}} it seems obvious that relativistic momentum, p=\gamma m_o v is supposed to be used. Then \frac{ dp}{dv}=m_o(1-\beta^2)^{-1/2}+m_o v...
  11. stephen8686

    I Understanding the dispersion of waves

    I am trying to learn about the dispersion of waves and used one of Walter Lewin's lectures (see below) as a source. I understand phase and group velocity and dispersion relations, but I don't understand when/what kinds of waves are prone to dispersion. For example, a simple wave in the form...
  12. stephen8686

    Schools Comparing AP Physics C to College Intro Physics Courses

    I am an undergraduate who took AP Physics C mechanics and taught myself AP Physics C E&M in high school. Like many answers have already mentioned, it greatly depends on the college. Some colleges have relatively easy intro physics courses while others can be much more in depth than the AP tests...
  13. stephen8686

    Introductory QM boundary conditions

    Thanks TSny, I think I got it now
  14. stephen8686

    Introductory QM boundary conditions

    Homework Statement A particle is represented by the following wave function: ψ(x)=0 x<-L/2 =C(2x/L+1) -L/2<x<0 =C(-2x/L+1) 0<x<+L/2 =0 x>+L/2 use the normalization condition to find C Homework Equations ψ(x) must be...
  15. stephen8686

    Best books for undergraduate physics

    Similar to the Halliday, Resnick, and Walker books, the Serway and Jewett Physics for Scientists and Engineers is good as well.
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