Detectors Turn Geometry Into Addresses

Detector Pixel Address Map

frames have slots

A detector address map assigns one index to every pixel slot in the grid, so the frame size is rows times columns. With 4 rows and 5 columns one frame holds 4 times 5 = 20 indexed pixel slots exactly for the stated toy detector ledger; real detectors have dead pixels, gain variation, dark current, geometric distortion, and measurement uncertainty.

A detector frame is an indexed grid of physical measurements. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Detector pixels are indexed

The schematic detector has 4 rows and 5 columns.

rows=4,cols=5\text{rows}=4,\quad \text{cols}=5
Indexed throughputIndexed measurements become exact count budgets.indexed readout

Rows times columns gives pixels

The exact pixel address count is 20.

Npixels=4⋅5=20N_{\text{pixels}}=4\cdot5=20
Indexed throughputIndexed measurements become exact count budgets.indexed readout