Parallel Plate Wave Guide

In summary, the conversation discusses a question about the modal impedance of the TEn mode in a parallel plate wave guide for wave propagation. The question revolves around a negative sign in the impedance and its relation to the reflection coefficient. It is explained that the negative sign is necessary to obtain a positive wave impedance and is derived from Maxwell's equations.
  • #1
Brianrofl
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Hi, I'm working on a parallel plate wave guide for wave propagation and had a question about it. Here's a quick diagram:

Capture.PNG


While analyzing an EM field polarized in the y-direction, the modal impedance of the TEn mode comes out to be:

Capture.PNG


Why is that negative sign there? If someone could just explain where that negative sign comes from I'd appreciate it greatly. Does it have to do with the reflection coefficient?
 
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  • #2
Brianrofl said:
Hi, I'm working on a parallel plate wave guide for wave propagation and had a question about it. Here's a quick diagram:

View attachment 97051

While analyzing an EM field polarized in the y-direction, the modal impedance of the TEn mode comes out to be:

View attachment 97052

Why is that negative sign there? If someone could just explain where that negative sign comes from I'd appreciate it greatly. Does it have to do with the reflection coefficient?
You have to go back to Maxwell's equations to get the relation between components of the electric and magnetic fields. In order to get the wave impedance positive the minus sign has to be used.
 
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Likes Brianrofl

1. What is a parallel plate waveguide?

A parallel plate waveguide is a type of transmission line used to guide electromagnetic waves, typically at high frequencies. It consists of two parallel conductive plates separated by a dielectric material.

2. How does a parallel plate waveguide work?

A parallel plate waveguide works by confining and guiding electromagnetic waves between the two conductive plates. The waves bounce back and forth between the plates, creating a standing wave with a specific frequency and wavelength determined by the dimensions of the waveguide.

3. What are the advantages of using a parallel plate waveguide?

Some advantages of using a parallel plate waveguide include low loss, low dispersion, and high power handling capabilities. It also has a wide bandwidth and can support multiple modes of propagation.

4. What are the limitations of a parallel plate waveguide?

A parallel plate waveguide is limited by its size and construction, as it becomes less effective at higher frequencies and requires precise dimensions for optimal performance. It also has a limited power handling capability compared to other types of transmission lines.

5. What are some applications of a parallel plate waveguide?

Parallel plate waveguides are commonly used in microwave and millimeter wave applications, such as in radar systems, satellite communications, and microwave circuits. They are also used in particle accelerators and as test structures for characterizing materials at high frequencies.

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