What Is the Transmission Line Reflection Coefficient & VSWR Calculator?
VSWR (Voltage Standing Wave Ratio) measures the severity of standing waves created by RF impedance mismatches.
How Does the Transmission Line Reflection Coefficient & VSWR Calculator Work?
Reflected waves superimpose constructively and destructively with incident forward waves.
Transmission Line Reflection Coefficient & VSWR Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
\Gamma = \frac{Z_L - Z_0}{Z_L + Z_0}, \quad \text{VSWR} = \frac{1 + |\Gamma|}{1 - |\Gamma|}, \quad \text{RL} = -20\log_{10}|\Gamma|
Complex reflection coefficient, VSWR, and return loss formulas.
How to Use the Transmission Line Reflection Coefficient & VSWR Calculator
- Enter load resistance R_L, reactance X_L, and characteristic impedance Z0.
Step-by-Step Example Calculation
50-Ohm Line with 100-Ohm Load
Input Values:
loadImpedanceRealOhm:100
loadImpedanceImagOhm:0
characteristicImpedanceZ0Ohm:50
Worked Steps: Yields reflection coefficient |Gamma| = 0.333, VSWR = 2.0:1, and Return Loss = 9.54 dB.
Understanding Your Result
Displays VSWR ratio, reflection magnitude |Gamma|, phase angle, and return loss in dB.
Factors That Affect the Result
- A perfect match gives |Gamma| = 0 and VSWR = 1.0:1 with infinite return loss.
When Should You Use This Calculator?
- Antenna tuning, transmitter output protection, coaxial cable testing, and filter design.
Assumptions & Limitations
- Assumes lossless transmission line section at measurement plane.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard IEEE RF engineering transmission line equations.