Transmitted Pressure Ratio Three-Row Scan - Biophysical Ultrasound: Echo Timing and Acoustic Interfaces Step by Step

Transmitted pressure uses one plus the checked reflection ratio. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Right impedance 4 transmits pressure 8

The left impedance and incident pressure stay fixed. Right impedance 4 gives a checked reflection ratio and transmitted pressure 8.

p_t=\left(1+\frac{1}{3}\right)\cdot6=8

Right impedance 6 transmits pressure 9

The left impedance and incident pressure stay fixed. Right impedance 6 gives a checked reflection ratio and transmitted pressure 9.

p_t=\left(1+\frac{1}{2}\right)\cdot6=9

Right impedance 10 transmits pressure 10

The left impedance and incident pressure stay fixed. Right impedance 10 gives a checked reflection ratio and transmitted pressure 10.

p_t=\left(1+\frac{2}{3}\right)\cdot6=10

Transmitted pressure rises as the positive reflection ratio rises

Every row keeps the incident pressure at six pascals. The transmitted side uses one plus the checked reflection ratio.

\begin{array}{c|c|c|c|c}Z_L&Z_R&R&p_i&p_t\\2&4&\frac{1}{3}&6&8\\2&6&\frac{1}{2}&6&9\\2&10&\frac{2}{3}&6&10\\\end{array}