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Solved Problems-2

Problem-2
A parallel plane waveguide consists of two shells of good conductors separated by 10 cm. Find the propagation constant at frequencies of 100 MHz and 10 GHz when operated in TE1 mode. Does the wave propagate in each case?
Solution
Here, a = 10 cm = 0.1 m, and for TE1 mode, n = 1
 
Hence, the propagation constant is given as,
Description: 44496.png
 
Since, Description: 44489.png
 
At frequency, f = 100 MHz, Description: 44481.png
 
At frequency, f = 10 GHz, Description: 44472.png
 
At frequency, f = 100 MHz, the propagation constant is real, i.e., phase shift is zero Description: 44462.png So, wave propagation does not take place at this frequency. However, at frequency, f = 10 GHz, the propagation constant is imaginary, i.e. Description: 44455.png. So, wave propagation takes place at this frequency.
 





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