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

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SUMMARY

The discussion confirms that only the TE01 mode can be utilized in an air-filled rectangular waveguide with dimensions 1 cm x 2 cm at a frequency of 10 GHz. The cutoff frequency for this configuration is calculated to be 7.5 GHz, which is essential for determining the operational modes. The TE01 mode is the only mode that meets the criteria, as demonstrated using the cutoff frequency formula fc(m,n,a,b). The TM01 mode requires additional justification beyond the cutoff frequency calculation.

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  • Understanding of electromagnetic wave propagation in waveguides
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  • Knowledge of TE and TM mode classifications
  • Basic principles of rectangular waveguide dimensions and their impact on mode propagation
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  • Study the derivation and application of the cutoff frequency formula for different waveguide modes
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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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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.
 
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