Recent content by Graham87

Yes, I know that. I am struggling to code for that. Not sure what ##p_{MC}(0)/2##, since it’s not an equation, but a simulated histogram of counts. And is my code correct so far? Update: I realised there is something wrong with my histogram, and currently working on it.

I'm working on this Monte Carlo simulation problem for radiation propagation. So far I think I have accomplished creating a histogram of simulated values (iii). Now I need to plot it against the exact PDF. I need to find the normalized PDF, but can't obtain the normalization constant, and so on...

What are the certain directions the gamma rays have a significant chance for Compton scattering when h is negligible? I asked how being a flat surface would affect the direction of the gamma rays, and I get replied that the gamma rays emit in all directions. So I assume being flat does not...

So the propagation of the photons when ##h <<r## is perpendicularly straight out of the flat surface at +z and -z? In that case wouldn't the only angles that reach the detector be either 60 degrees or 120 degrees? How did they get a min-max range? I'm not sure how the photons propagate. Do...

The Compton cross section probability is dependent on incoming photon energy. So the likelihood of scattering has nothing to do with direction. Am I missing crucial information about scattering? I don't get how the thickness of the source material relates to the scattering properties and...

I'm not sure how ##h \ll r## affects the propagation. It just means that the photons only propagate in 2D instead of 3D? The polar angle is the angle between incident photon and scattered photon. In flat source the propagation direction before scatter would be perpendicular to the surface, ie...

The photons come from the Am source in the cylinder. Their directions are isometric, 360 degrees?

It says that the detector is 60 degrees from the symmetry axis. How can angles other than 60 degrees reach the detector? Wouldn't it be only the scattering polar angle of 60 degrees that reach the detector? Why specifically a range between 60 to 120? I can't see it geometrically and compton...

Basically, I don't understand how they got x=L/2 and x=r paths of T_in and T_out. Below is elaboration. I don't understand the choice of paths for incoming and outgoing photons in the solution for c). The solution put incoming path to x=L―/2, while outgoing x=r. As I interpret it, Tin is the...

A current current loop is running through this figure. How do I design integration surfaces to find the magnetic dipole moment? In the solution the three following figures were designed for integration surface, and they prove that they all give the same answer of ## m= 2IRd \hat{z} ##. For...

Are you sure about this? I did like this: And since x=1 we get the following And eventually

Yeah, I realised that too! Thanks alot!

I tried that, but I get stuck in the manipulation on the most left sum to k=0? From your answer it turned to this somehow? Shouldn't the most left term be

Oh, I tried that too but did not go through it completely. So I get thefollowing: However the general solution formula does not seem obvious. Where might I have gone wrong?

I am attempting to solve this differential equation with power series I came with the following solution but I doubt it is correct. Since x=1 we get: I doubt its correctness because it looks messy. Also the convergence radian R goes to 0, giving only a solution for x=0 which is not...