Active Coverage Floor Three-Row Scan - Detector Physics: Spatial Granularity and Trigger Reconstruction Step by Step

Active detector length is compared with a coverage floor. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One active cell is below the coverage floor

Active cells 1 with pitch 2 meters give active length 2 meters.

m=L_{\text{active}}\mathbin{-}L_{\min}=2\mathbin{-}4=-2,\quad\text{fail}

Two active cells exactly meet the floor

Active cells 2 with pitch 2 meters give active length 4 meters.

m=L_{\text{active}}\mathbin{-}L_{\min}=4\mathbin{-}4=0,\quad\text{pass}

Three active cells clear the floor

Active cells 3 with pitch 2 meters give active length 6 meters.

m=L_{\text{active}}\mathbin{-}L_{\min}=6\mathbin{-}4=2,\quad\text{pass}