Echo and Source Boundary Depth Scans

Line Impedance Reflection Three-Row Scan

The same load boundary is scanned across line impedance values. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Line impedance changes the same load boundary

The load and incident step are fixed here. Changing the line impedance changes the mismatch seen by the return.

Γ=8 Ω16 Ω=12Vback=3 V\Gamma={8\ \Omega\over16\ \Omega}=\frac{1}{2}\qquad V_{\text{back}}=3\ \text{V}
Line-impedance reflection scanThe same load reflects differently for each line impedance.incidentline 4 ohmload 12 ohmGamma 1/2in 6 Vback 3 V

Line impedance changes the same load boundary

The load and incident step are fixed here. Changing the line impedance changes the mismatch seen by the return.

Γ=6 Ω18 Ω=13Vback=2 V\Gamma={6\ \Omega\over18\ \Omega}=\frac{1}{3}\qquad V_{\text{back}}=2\ \text{V}
Line-impedance reflection scanThe same load reflects differently for each line impedance.incidentline 6 ohmload 12 ohmGamma 1/3in 6 Vback 2 V

Line impedance changes the same load boundary

The load and incident step are fixed here. Changing the line impedance changes the mismatch seen by the return.

Γ=0 Ω24 Ω=0Vback=0 V\Gamma={0\ \Omega\over24\ \Omega}=0\qquad V_{\text{back}}=0\ \text{V}
Line-impedance reflection scanThe same load reflects differently for each line impedance.incidentline 12 ohmload 12 ohmGamma 0in 6 Vback 0 V