Reflection coefficient of step potential

In summary, the reflection coefficient of a step potential is a measure of the amount of energy that is reflected back when a wave encounters a change in the medium. It is calculated using the formula R = |(Z2 - Z1) / (Z2 + Z1)| and is affected by factors such as the difference in impedances between the two media, the angle of incidence of the wave, and the frequency of the wave. A high reflection coefficient indicates a large amount of energy being reflected back, which can impact wave behavior by causing significant reflections and standing waves. On the other hand, a low reflection coefficient allows waves to pass through the medium with minimal reflection.
  • #1
hasanhabibul
31
0
why reflection coefficient R=1 in step potential though there happens transmission also as a negative exponential when E<V0
 
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  • #2
hasanhabibul said:
why reflection coefficient R=1 in step potential though there happens transmission also as a negative exponential when E<V0

There is no transmission when E<V0 for a step potential ... that would mean the particle was traveling inside the classically forbidden region ...
 
  • #3
The coefficients R and T are determined by the probability of an incident particle traveling to - or + infiity.
 

1. What is the reflection coefficient of a step potential?

The reflection coefficient of a step potential is a measure of the amount of energy that is reflected back when a wave encounters a change in the medium. It is represented by the ratio of the reflected wave's amplitude to the incident wave's amplitude.

2. How is the reflection coefficient of a step potential calculated?

The reflection coefficient of a step potential can be calculated using the formula R = |(Z2 - Z1) / (Z2 + Z1)|, where R is the reflection coefficient, Z2 is the impedance of the second medium, and Z1 is the impedance of the first medium.

3. What factors affect the reflection coefficient of a step potential?

The reflection coefficient of a step potential is affected by several factors, including the difference in impedances between the two media, the angle of incidence of the wave, and the frequency of the wave.

4. What does a high reflection coefficient indicate?

A high reflection coefficient indicates that a large amount of energy is being reflected back when a wave encounters a change in the medium. This could be due to a large difference in impedances between the two media or a steep angle of incidence.

5. How does the reflection coefficient of a step potential impact wave behavior?

The reflection coefficient of a step potential plays a crucial role in determining how waves behave when they encounter a change in the medium. A high reflection coefficient can lead to significant reflections and standing waves, while a low reflection coefficient allows waves to pass through the medium with minimal reflection.

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