In a Nutshell

In a perfect electrical circuit, 100% of the signal is absorbed by the receiver. In the real world, mechanical discontinuities—like a poorly crimped RJ45 or a dented coaxial cable—create a 'mismatch' in characteristic impedance. This causes a portion of the signal to bounce back toward the sender, creating unwanted 'echoes' known as Return Loss.

The Reflection Coefficient

When a signal traveling along a 100-ohm cable hits a 110-ohm connector, some energy is reflected. The Reflection Coefficient (Γ\Gamma) describes how much energy 'bounces'.

Γ=ZLZOZL+ZO\Gamma = \frac{Z_L - Z_O}{Z_L + Z_O}

VSWR: Voltage Standing Wave Ratio

In RF engineering, the 'echo' interferes with the outgoing signal, creating stationary high and low voltage points on the cable. This is called a Standing Wave. A high VSWR (e.g., 3:1) can physically damage the transmitter's power amplifier by dumping its own energy back into itself as heat.

TDR: Time Domain Reflectometry

We find these mismatches using a TDR. By sending a pulse and measuring the time it takes for the 'echo' to return, we can pinpoint the exact distance (in meters) to the damaged part of the cable or the bad connector.

TDR Simulator

Time-Domain Reflectometer Analysis

Link Configuration
Fault Distance60 Meters
Diagnostic Result
Broken Cable / Open Port
reflection_coeff: 0.80
return_loss: 11.1 dB
Live Trace
V_div: 10V | T_div: 50ns
T=0 (TX)
Sender Physical Cable RunReceiver
How it works:

A TDR sends a fast electrical pulse. When it hits a change in impedance (like a break or a short), some energy bounces back. If the cable is Open, the reflection is in-phase (up). If it's a Short, it's out-of-phase (down). By measuring the time delay, we know exactly where to dig or which connector to replace.

Conclusion

Impedance is about continuity. Any break in the physical symmetry of the cable is a potential point of failure for high-speed data.

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Technical Standards & References

REF [1]
Eric Bogatin (2009)
Signal Integrity: Simplified
Published: Prentice Hall
VIEW OFFICIAL SOURCE
REF [2]
H.A. Atwater (1958)
Transmission Lines and Waveguides
Published: McGraw-Hill
VIEW OFFICIAL SOURCE
Mathematical models derived from standard engineering protocols. Not for human safety critical systems without redundant validation.

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