Complex Wave Vector in Partial Reflection at a Conductor Interface

Click For Summary
SUMMARY

The discussion centers on the behavior of electromagnetic waves at the interface between a non-conductor and a conductor, specifically regarding the complex wave vector in the case of partial reflection. The author questions whether both components of the transmitted wave vector can be complex due to attenuation in both directions within the conductor. The proposed electric field vector for the transmitted wave is expressed as \textbf{E}_{0t}\exp i(k'_{xt}x+k'_{zt}z-\omega_t t)\exp(-k''_{xt}x)\exp(-k''_{zt}z), indicating a clear understanding of the mathematical representation of wave behavior in conductive materials.

PREREQUISITES
  • Understanding of electromagnetic wave theory
  • Familiarity with complex wave vectors
  • Knowledge of boundary conditions at material interfaces
  • Basic principles of wave attenuation in conductors
NEXT STEPS
  • Study the mathematical derivation of complex wave vectors in conductive materials
  • Explore the concept of boundary conditions in electromagnetic theory
  • Research the effects of attenuation on electromagnetic wave propagation
  • Learn about the physical implications of partial reflection at conductor interfaces
USEFUL FOR

Students and researchers in physics, particularly those focusing on electromagnetic theory, wave propagation, and material interfaces. This discussion is beneficial for anyone studying the behavior of waves in conductive environments.

_Andreas
Messages
141
Reaction score
1

Homework Statement



I'm writing a school paper on the behavior of electromagnetic waves when they hit the interface between a non-conductor and a conductor. My question is if, in the case of partial reflection, it is correct to allow for both components of the wave vector (the wave is confined to a plane) of the transmitted wave to be complex (in the conductor, there is attenuation in both* directions, isn't it)?

* Of course, if the transmitted wave is orthogonal to the interface there is only one direction to consider.
 
Physics news on Phys.org
If it is of any help, this is how I imagine the electric field vector of the transmitted wave (in the metal) should look: [tex]\textbf{E}_{0t}\exp i(k'_{xt}x+k'_{zt}z-\omega_t t)\exp(-k''_{xt}x)\exp(-k''_{zt}z),\label{17b}[/tex]. The ' and '' denote the real and the imaginary parts of the wave vector components, respectively. (Ignore the direction signs. What I wonder is if he basic idea is correct).
 
No one? Please?
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K