Hello,
I hope I got the section right ;). I orginally posted this in the physics section, but as the problem is more mathematical. It would be nice if someone knows the right direction.
I've stumbled upon a math problem while going through some physics and got stuck with some mathematical...
Hello,
I'm currently going through Agrawal's book 'Nonlinear Fiber Optics' and got stuck with some mathematical cosmetics (pp. 40). It is the substition of:
\vec{P_L}(\vec{r},t) = \frac{1}{2} \hat{x} \left(P_L \exp{(-i \omega_0 t)} + c.c.\right)
into
\vec{P_L}(\vec{r},t) = \epsilon_0...
Hi
for my thesis I wanted to show the complete derivation for the grating equation - case: perfectly conducting. The later steps are all no problem, but I am struggling with the proof of pseudo-periodicity. I found in my opinion a nice summary here...
Hi Folks,
I somehow cannot get the difference and have to admit that I am left confused.
For a probability of measuring m with the operator M on state \Psi_i
p(m|i) = <\Psi_i| M^{+}_m M_m |\Psi_i> = <\Psi_i| M_m |\Psi_i>.
The average of an observable is defined as <O> = <\Psi_i| O...
Dear fellows,
during my internship I've stumbled over a problem of analysis. To cut things short some pseudoinverses have to be calculated. For one of them it does not work, s.t. A'*A \neq I.
I just wondered about the requirements to find a pseudoinverse. One of the eigenvalues is zero...
Hey folks,
some weeks ago we had an trial-exam and one of the questions there was: "How do you measure phase and group velocity."
That question really got me. Having a fastly oscillating wave as carrier and then the envelope. Can someone help me? Is it impossible for the phase, as it is...
Dear fellow physicists,
looking at the derivation for the maxwell equations into k-space, I've stumbled upon something that seems not so logical to me. It is concerning the two parts where they transform \nabla \times E and \nabla \bullet E on page 27 (on the sheets 14)...
Hello,
whenever I come to the derivation of the Fresnel equations I get stuck on the boundary condition for the component of the E-Field that is parallel to the surface.
I know for the parallel components Maxwell dictates that:
E_{1t} = E_{2t}.
For the parallel incoming light field...
Hey all,
some weeks ago in a tutorial our TA solved Poissons equation with Greens functions..would be very short, but he also derived the Greens function using a Fourier transform. Two points I really don't get and he could also not explain it. Maybe you can help me? There might be even a short...