Dual-band Blade Antenna - Theory - Monopoles

Monopoles

Monopole equations can be arrived by inspection of dipole antenna derivations with the knowledge that all radiation occurs in half the volume when compared to said dipole antenna. This leads to the following equations:

Directivity

This leads directly to the earlier stated maximum gain relation to a dipole by the definition of gain a where is the antenna radiation efficiency.

Impedance

Radiation Resistance

As can be seen in section 1 of the linked radiation resistance article.

Read more about this topic:  Dual-band Blade Antenna, Theory

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