A circular copper waveguide has a radius of 0.4 cm and is filled with a dielectric material having ππ = 1.5 and tan Ξ΄ = 0.0002.
2.1.1. Identify the first four propagating modes and their cut-off frequencies.
2.1.2. For the dominant mode, calculate the attenuation due to dielectric loss and attenuation due to conductor loss at 20 GHz.
1)
"\\nu_1=20~GHz,"
"\\nu_2=5.0~GHz,"
"\\nu_3=2.2~GHz,"
"\\nu_4=1.3~GHz."
2)
"k_d=\\omega\\sqrt{\\mu\\epsilon(1-j\\tan\\delta)}=0.4~GHz,"
"k_c=\\beta-j\\alpha=350~MHz."
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