How to use the VSWR Calculator (Voltage Standing Wave Ratio Calculator)
When a transmission line's characteristic impedance (Z0) doesn't exactly match the impedance of the load it's driving (Z_L) — an antenna, a filter, an amplifier input — part of the incident wave reflects back toward the source instead of being absorbed. The forward and reflected waves interfere along the line, creating alternating peaks and nulls in voltage called a standing wave. The Voltage Standing Wave Ratio (VSWR) is the ratio of the maximum standing-wave voltage to the minimum: VSWR = V_max / V_min. This calculator computes VSWR directly from the load impedance and the system's characteristic impedance, along with the reflection coefficient, return loss, and reflected power that describe the same mismatch.
From load impedance to VSWR
- Reflection coefficient: Γ = (Z_L − Z0) / (Z_L + Z0), a complex number for a load with resistance R_L and reactance X_L (Z_L = R_L + jX_L). Its magnitude |Γ| = √[(R_L − Z0)² + X_L²] / √[(R_L + Z0)² + X_L²] ranges from 0 (perfect match) to 1 (total reflection).
- VSWR: VSWR = (1 + |Γ|) / (1 − |Γ|). When Z_L = Z0, |Γ| = 0 and VSWR = 1:1 — no reflected power. As Z_L approaches a short (0 Ω) or open circuit, |Γ| → 1 and VSWR → ∞.
- Return loss: RL(dB) = −20 · log10(|Γ|). This is always reported as a positive number for a passive load — the larger it is, the smaller the reflection.
Reading the reflected power and choosing an acceptable VSWR
- Reflected power fraction is |Γ|², so a VSWR of 2:1 (|Γ| ≈ 0.333) reflects about 11% of the forward power back toward the source, while 1.5:1 (|Γ| ≈ 0.2) reflects only about 4%.
- Most amateur radio, Wi-Fi, and general RF work targets VSWR under 2:1; broadcast and high-power transmitter feedlines often require 1.5:1 or better to avoid transmitter foldback and feedline heating.
- A purely resistive mismatch (X_L = 0) gives the simplest case: VSWR is just the larger of R_L/Z0 or Z0/R_L. Adding reactance always pushes VSWR higher for the same resistance.