In a rectangular waveguide for which

a = 1.5 cm, b = 0.8 cm, σ = 0, μ = μ0, and ϵ  = 4ϵ0

\({H_x} = 2\sin \left( {\frac{{\pi x}}{a}} \right)\cos \left( {\frac{{3\pi y}}{b}} \right)\sin \left( {\pi \times {{10}^{11}t} - \beta z} \right)\frac{A}{m} \)

The cut off frequency is

1
28.57 GHz
2
57.13 GHz
3
353.8 MHz
4
176.9 MHz

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