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A rectangular waveguide is filled with air with dimension 2.28 cm×1.01 cm is operated...

A rectangular waveguide is filled with air with dimension 2.28 cm×1.01 cm is operated at 9.2GHz in dominant mode. Find cutoff frequency, guide wavelength, and characteristic impedance.

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Solution:

Air-filled rectangular waveguide,

μr=1,εr=1μ=μ0,ε=ε0a×b=2.28 cm×1.01 cmf=9.2cHz

mode of wave = dominant le. TE10 TEmn=TE10 m=1,n=0 a) Calculation of cut-off frequency (fe), fc=12πμε[(mπa)2+(nπb)2]

=12π4π×107×8.854×1012[(π2.28×102)2+(0)2]

=6.58GHz2

b) Calculation of guide wavelength (λ9)

λc=c/fc=0.0455 mλ=c/f=0.0326 mλg=λ1(λ/λc)2=0.046 m

c) η=η1(/π)2=540,42Ω

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