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Smith Chart & Impedance Matching Studio

Bilinear conformal projection of complex microwave impedances (Z = R + jX) and admittances (Y = G + jB). Evaluates reflection coefficient magnitude (|Γ|), voltage standing wave ratio (VSWR), and automates discrete L-section matching network design.

Conformal Bilinear Complex Impedance Engine

Interactive Smith Chart & L-Section Matching Studio

Click anywhere on the conformal impedance chart or enter exact parameters to evaluate return loss, VSWR, and synthesize closed-form matching networks.

Ω
GHz
Normalized Impedance Plane (r + jx)Z_L = 25 + j40 Ω
50Ω0Ω∞+jX (Inductive)-jX (Capacitive)
Tip: Click anywhere inside the perimeter circle to plot impedance|Γ| = 0.555 ∠ 93.9°

Load Impedance InputZ_L = R + jX

Ω
Ω
R Sweep (0 - 200 Ω)25 Ω
X Sweep (-150 to +150 Ω)40 Ω

Electromagnetic Matching Metrics

VOLTAGE SWR3.49:1
RETURN LOSS (S₁₁)5.12 dB
MISMATCH LOSS1.60 dB
NORM. ADMITTANCE0.56 - j0.90
Closed-Form L-Section Synthesizer

Transforms 25 + j40 Ω to 50 + j0 Ω at 2.45 GHz:

Topology: Series Reactive + Shunt Reactive (Z_L < Z_0)
Series Capacitor C_s:4.33 pF
Shunt Capacitor C_p:1.30 pF

Standard RF Load Presets