![]() ![]() The input impedance to the line of characteristic impedance, Zo, a length R from the load, ZL, isfound via the equation. The radius can vary between 0 and infinity.1xL ![]() Notethat the center of these circles will always be to the right of the unit circle. Whose location is always outside the unit circle in the complex reflection coefficient plane. The radiuscan never by greater than unity. So it is observed that this circle will always be fully contained within the unit circle. Whose location is always inside the unit circle in the complex reflection coefficient plane. Substituting in the complex expression for 'L and equating real and imaginary parts we find thetwo equations which represent circles in the complex reflection coefficient plane. So we get the conformal mapping by dividing through by Zo (remember 'L is complex). ![]()
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