Microwave Communication Systems tow quation

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1-A circular waveguide has 3 cm radius and is propagating 8 GHz. What TE modes are possible at this frequency? Is there any degenerate mode available in this waveguide at this operating frequency?

2-Consider a 4 port hybrid magic Tee junction and justify that how it is basically a 3dB directional coupler with suitable diagrams, definitions and values.

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