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Cut-off wavelength of dielectric filled waveguide

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curiouscase

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Can anyone tell me the cut-off wavelength of dielectric filled waveguide?
 
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I guess cut-off frequency of regular wave guide, divided by square root (Er).
 

Also depends on a particular mode.
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O.K., it's not only multiplying the wavelength with √Er, you also have to put in the reduction factor for width and height when calculating the cut-off frequency. But in case of a completely filled waveguide, it's just a geometry factor.
 

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