Photon interacting with 1D-boundary

[SpinFollower]

Good evening fellas,

I'm in a bit of a conundrum: lately I've been considering a 2D array of atoms and the interactions that may arise when studied with photon beams. Up until now, I was using 3D systems and Dark Field Imaging, but when I switched to 2D, I got some unexpected intensity at the boundary of the system which I've been considering 1D for the sake of the argument. It's important to point out that the system studied has parabolic electronic bands and not quadratic, they both touch at the Fermi Energy. I've been trying to use this fact but I'm not sure as to how to attack the problem, I'm sure both things are related.

I've thought about considering this peak as a resonance of some sort, some kind of edge effect, and try to explain it using Feynman diagrams or even Fermi's Golden Rule, but I haven't been lucky so far.

If someone has any idea as to how to approach this, I'll be very grateful

 

[eljose79]

!Thank you for sharing your interesting conundrum with us. As a fellow scientist, I can understand the frustration of encountering unexpected results in our research. I would like to offer some suggestions that may help you in your study of the 2D array of atoms and photon beams.

Firstly, it is important to consider the differences between 2D and 3D systems. In 2D systems, the electronic bands are typically parabolic, as you mentioned, whereas in 3D systems they are usually quadratic. This difference can have a significant impact on the behavior of the system and the interactions between atoms and photons. It may be beneficial to review some literature on the electronic band structure in 2D systems and how it differs from 3D systems.

Additionally, the fact that the electronic bands touch at the Fermi Energy may also play a role in the unexpected intensity at the boundary of the system. This could be due to the presence of edge states, which are localized electronic states that arise at the edges of 2D systems. These states can have a significant influence on the electronic and optical properties of the system. I would suggest looking into the theory of edge states and how they may affect your specific system.

In terms of approaching the problem, you mentioned considering the peak as a resonance or edge effect. This is a good starting point, and I would encourage you to explore these ideas further. Feynman diagrams and Fermi's Golden Rule are powerful tools in understanding the interactions between atoms and photons, and they may provide valuable insights into the origin of the unexpected intensity.

Finally, I would also recommend collaborating with colleagues or seeking advice from experts in the field. They may have encountered similar phenomena or have different perspectives that could aid in your research.

I hope these suggestions are helpful to you, and I wish you all the best in your study.