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Using Matlab, make a three dimensional plot of the free surface charge densityon the floor of an air-filled rectangular waveguide that has the TE30 mode propagating. Let the parameters a, b, omega andH0 be equal to 8 cm, 4 cm, 1.25 times the Omega-c for this mode and 100 A/m, respectively. Let time equal zero, let x rangefrom 0 to a, let z range from 0 to two time the guide wavelength. Consider using the mesh command in Matlab. Turnin your plot along with the m-file that produced it. Also include a qualitative dispersion curve sketch that demonstrates the operating point at which your Matlab plot applies.

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