Attenuation in conductors

In summary, the conversation discusses the behavior of electromagnetic waves at the interface between a non-conductor and a conductor, specifically in the case of partial reflection. The question raised is whether it is correct for both components of the transmitted wave's wave vector to be complex, taking into account attenuation in both directions. The conversation also includes a visualization of the electric field vector of the transmitted wave and clarifies that the ' and '' symbols represent the real and imaginary parts of the wave vector components.
  • #1
_Andreas
144
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.
 
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  • #2
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).
 
  • #3
No one? Please?
 

1. What is attenuation in conductors?

Attenuation in conductors refers to the reduction in amplitude of an electrical signal as it travels through a conductor. This reduction is caused by various factors such as resistance, inductance, and capacitance, which cause the signal to lose energy.

2. How does attenuation affect the performance of electrical systems?

Attenuation can significantly impact the performance of electrical systems by causing signal distortion, loss of data, and reduced efficiency. It can also lead to an increase in noise and interference, which can further degrade the quality of the signal.

3. What are the main causes of attenuation in conductors?

The main causes of attenuation in conductors are resistance, inductance, and capacitance. Resistance is the opposition to the flow of electrical current, while inductance is the tendency of a conductor to resist changes in current flow. Capacitance, on the other hand, is the ability of a conductor to store electrical charge. These factors work together to reduce the amplitude of the signal as it travels through the conductor.

4. How can attenuation be reduced in conductors?

Attenuation in conductors can be reduced by using conductors with lower resistance, inductance, and capacitance. Additionally, implementing proper shielding and grounding techniques can also help to minimize the effects of attenuation. Using higher quality materials and reducing the length of the conductor can also help to reduce attenuation.

5. What are some real-world applications of attenuation in conductors?

Attenuation in conductors is a crucial concept in the design and operation of various electrical systems. It is essential in the transmission of signals in telecommunication systems, such as telephone lines and fiber optic cables. It also plays a role in the design of power transmission lines, audio equipment, and other electronic devices. In these applications, minimizing attenuation is critical for ensuring efficient and reliable operation.

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