Echo and Source Boundary Depth Scans

Source Reflection Load Total Three-Row Scan

Source-boundary reflection is scanned through the next load total. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Source reflection changes the next load total

The first load arrival is fixed. The source boundary controls the next returned arrival, so the visible load total changes.

Vload=12 V+0 V=12 VΓS=0V_{\text{load}}=12\ \text{V}+0\ \text{V}=12\ \text{V}\qquad \Gamma_S=0
Source-boundary load totalThe bounce ledger total follows the source coefficient.linew0w1w2load Gamma 1/2source Gamma 0load total 12 V

Source reflection changes the next load total

The first load arrival is fixed. The source boundary controls the next returned arrival, so the visible load total changes.

Vload=12 V+(−3 V)=9 VΓS=−12V_{\text{load}}=12\ \text{V}+(-3\ \text{V})=9\ \text{V}\qquad \Gamma_S=\frac{-1}{2}
Source-boundary load totalThe bounce ledger total follows the source coefficient.linew0w1w2load Gamma 1/2source Gamma -1/2load total 9 V

Source reflection changes the next load total

The first load arrival is fixed. The source boundary controls the next returned arrival, so the visible load total changes.

Vload=12 V+2 V=14 VΓS=13V_{\text{load}}=12\ \text{V}+2\ \text{V}=14\ \text{V}\qquad \Gamma_S=\frac{1}{3}
Source-boundary load totalThe bounce ledger total follows the source coefficient.linew0w1w2load Gamma 1/2source Gamma 1/3load total 14 V