How can I understand reflection coefficient for a certain circuit?

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SUMMARY

The discussion centers on understanding the "reflection coefficient" (Gamma) in RF circuits, specifically its calculation using the formula Gamma=(ZL-Zs)/(ZL+Zs), where ZL is the load impedance and Zs is the source impedance. The reflection coefficient represents the ratio of the electric field strength of the reflected wave to that of the incident wave. A recommended resource for beginners is the textbook "Engineering Electromagnetics" by Inan and Inan, which provides a solid foundation in reflection coefficients and transmission lines. The conversation emphasizes the importance of grasping physical aspects of RF circuits compared to low-frequency circuits.

PREREQUISITES
  • Basic understanding of RF circuit concepts
  • Familiarity with impedance (ZL and Zs)
  • Knowledge of electromagnetic wave behavior
  • Introduction to transmission lines
NEXT STEPS
  • Study the reflection coefficient in detail using "Engineering Electromagnetics" by Inan and Inan
  • Learn about transmission line theory and its applications in RF circuits
  • Explore the relationship between impedance matching and reflection coefficients
  • Investigate practical examples of reflection coefficients in RF circuit design
USEFUL FOR

Electronics students, RF circuit designers, and engineers seeking to deepen their understanding of reflection coefficients and their implications in circuit design.

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How can I understand "reflection coefficient" for a certain circuit?

Homework Statement



I'm a beginner in RF circuit, though I've learned something about low frequency oscillator design, some new concepts still confuse me a lot, like the "reflection coefficient".

I google it and found the definition of "reflection coefficient" on wiki,
http://en.wikipedia.org/wiki/Reflection_coefficient"
but the definition of it for a certain circuit (like the figure with Vs,Zs,ZL in wiki) is still quite confusing for me >_<

Any one can explain how Gamma=(ZL-Zs)/(ZL+Zs) represents the "ratio of the electric field strength of reflected wave to that of incident wave"?

Homework Equations



Gamma=E-/E+ , Gamma=(ZL-Zs)/(ZL+Zs)


The Attempt at a Solution



none by far, I'm a beginner just for a simple concept explanation...
 
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I won't give you the full explanation here, but I will try to point you in the right direction.

When I was in college, I first learned about reflection coefficient from 'Engineering Electromagnetics' by Inan and Inan. This text will give you a good description of reflection coeff. and related concepts, with respect to transmission lines.

I would say, learning about RC with respect to t-lines is a good idea. It is a good compromise between time spent, and understanding what it is. It gives you the idea that, when dealing with RF stuff, you need to be a bit more conscious of physical aspects of a circuit, than you do with low-freq. circuits. However, the t-line approach spares you the rigorous work required to understand the reflection coeff. from a pure-EM approach.

Remember, fundamentally, RC is pretty simple, although the math may get difficult. You have a EM wave incident on a boundary. What comes back? That's mostly it. Circuits, t-lines, etc, are just special cases of this very general def'n.
 

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