A linear polarizer keeps the requested axis field component and blocks the orthogonal one. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

An ideal polarizer keeps the axis component

For axis mode, the incoming 10\ \text{V}/\text{m} splits with factor 3/5 for the passed component and orthogonal remainder.

E=10 V/m35=6 V/m,E=10 V/m45=8 V/mE_{\parallel}=10\ \text{V}/\text{m}\cdot\frac{3}{5}=6\ \text{V}/\text{m},\quad E_{\perp}=10\ \text{V}/\text{m}\cdot\frac{4}{5}=8\ \text{V}/\text{m}
Projection by axis componentThe polarizer keeps the projected component by exact factor.incidentField=10 V/maxisMode=three-four-fiveparallelFactor=3/5parallelField=6 V/mperpendicularField=8 V/macceptedBit=1 bit