Can the TE01 mode be used in an air-filled rectangular waveguide at 10 GHz?

In summary, the conversation discusses how to determine which mode, TE01 or TM01, can be used in an air-filled rectangular waveguide for carrying electromagnetic waves at a frequency of 10 GHz. The individual asking the question presents their approach of using the cutoff frequency formula, but the other person points out that mathematical justification is needed to prove that only TE01 can be used. They suggest using the cutoff frequency formula and distinguishing between the waveguide dimensions a and b. Additionally, they mention that the TM01 mode may require an extra step.
  • #1
faraaa
2
0

Homework Statement



How to solve this problem?

An air-fi lled waveguide of rectangular cross-section (1 cm x 2 cm) is used to
carry EM waves at a frequency of 10 GHz.
Show that only the TE01 mode can be used?

I tried to find the cut-off frequency ( 7.5GHZ) and is that enough to prove that only TE01 can be used?
 
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  • #2
faraaa said:

Homework Statement



How to solve this problem?

An air-filled waveguide of rectangular cross-section (1 cm x 2 cm) is used to
carry EM waves at a frequency of 10 GHz.
Show that only the TE01 mode can be used?

I tried to find the cut-off frequency ( 7.5GHZ) and is that enough to prove that only TE01 can be used?

The answer to your question is no. You haven't justified your answer mathematically.

Use the formula for cutoff frequency fc(m,n,a,b) where m,n are the mode descriptors Tmn and a and b are the waveguide dimensions. Then show that the only possible mode is TE01. Remember to distinguish between a and b with respect to the cutoff formula.

PS the TM01 mode requires one extra step beyond just using the fc formula.
 
Last edited:

Related to Can the TE01 mode be used in an air-filled rectangular waveguide at 10 GHz?

1. What is a waveguide?

A waveguide is a physical structure that is used to guide and transmit electromagnetic waves, such as radio waves, microwaves, and light. It is typically made of metal, plastic, or glass and has a specific shape and size that allows it to confine and direct the waves along its path.

2. How do travelling waves travel through a waveguide?

Travelling waves travel through a waveguide by bouncing back and forth between the walls of the waveguide. This is known as total internal reflection. The waves are confined within the waveguide and travel in a specific direction determined by the shape and size of the waveguide.

3. What is the purpose of a waveguide?

The main purpose of a waveguide is to transmit electromagnetic waves from one point to another without significant loss or interference. It is commonly used in communication systems, radar systems, and microwave ovens.

4. What are the different types of waveguides?

There are several types of waveguides, including rectangular, circular, and elliptical waveguides. Rectangular waveguides are most commonly used for communication and microwave applications, while circular and elliptical waveguides are used in high-frequency applications and for transmitting higher power levels.

5. How do you design a waveguide for a specific frequency?

The design of a waveguide for a specific frequency involves determining the cutoff frequency, which is the frequency at which the waveguide will effectively guide the wave. The dimensions of the waveguide are then adjusted to ensure that the cutoff frequency matches the desired frequency. This can be done using mathematical equations or computer-aided design software.

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