L / Pi / T impedance matching · lumped element synthesis · Smith chart · frequency response
Design inputs
Conjugate match: the network transforms ZL so the source sees
Zin = ZS* at f₀, giving maximum power transfer.
Series reactance > 0 → inductor, < 0 → capacitor; shunt susceptance > 0 → capacitor, < 0 → inductor.
Wideband cascade: splits the transformation across N L-sections through geometric
intermediate resistances, increasing N until the requested VSWR≤2 bandwidth is met
(subject to the Bode–Fano limit for reactive terminations).
Loss model: constant-Q series ESR (R = |X|/Q at each frequency); power-to-load and
insertion loss are computed by exact ladder analysis. Snapped values show the exact
synthesized value in parentheses.
Click a solution card to view its Smith-chart trajectory.