Question

The matching factor (F) for a linearly polarized antenna to a wave of circular polariation is __________ .

Answer 1

antenna $⟶$ linearly polarized
wave $⟶$ circularly polarized

${\rho }_W={\hat{a}}_x$

${\rho }_A=\frac{{\hat{a}}_x+j{\hat{a}}_y}{\sqrt{2}}$

Matching factor $\left(F\right)={|{\rho }_w\cdot {\rho }_A|}^2={|{\hat{a}}_x\cdot \frac{{\hat{a}}_x+j{\hat{a}}_y}{\sqrt{2}}|}^2=\frac{1}{2}$