Measurement and Coherence Cross Scans

Visible Signal Three-Row Scan

coherence scales counts

The visible signal row shows how coherent fraction scales an ideal count. A 3/4 coherent fraction turns 40 into 30, one-half coherence gives 12 in the second row, and 2/5 coherence leaves 20 in the last row; real visibility checks are limited by phase calibration, noise, readout contrast, drift, and finite shots.

The visible phase signal is an ideal count multiplied by coherent fraction. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Coherent fraction scales the ideal signal

The first row keeps 60 coherent shots out of 80. Multiplying ideal visible count 40 by fraction 3/4 gives 30.

Nvisible=40⋅34=30N_{\text{visible}}=40\cdot\frac{3}{4}=30
Visible signal scan rowThe coherent bar sets the visible fraction.3/4coherent1/4dephasedvisible fringe

One half coherence halves the visible signal

The second row has 30 coherent and 30 dephased shots, so the coherent fraction is 1/2. The visible count is 12.

Nvisible=24⋅12=12N_{\text{visible}}=24\cdot\frac{1}{2}=12
Visible signal scan rowThe dephased half does not enter visibility.1/2coherent1/2dephasedvisible fringe

Lower coherence reduces the same style of count

The final row keeps 40 coherent shots out of 100, so only 2/5 of the ideal count remains visible. The result is 20.

Nvisible=50⋅25=20N_{\text{visible}}=50\cdot\frac{2}{5}=20
Visible signal scan rowThree rows show visibility as count scaling.2/5coherent3/5dephasedvisible fringe