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The Wavelength of a Waveguide Filled with Dielectric

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xh0898

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Hello,
For my task I created a rectangular waveguide partly filled with dielectric.As I know,the waveguide wavelength may change due to the dielectric layer in it.How to figure out the wavelength of the rectangular waveguide partly filled with dielectric?Is there any formula?Or can I figure out in some software?
Please help.Thanks!
 

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