Coverage and channel count move with cell count, pitch, and layers. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Compact grid closes coverage

Cell count 4 with pitch 2 m gives total length 8 m. Layer count 2 gives channels 8.

L=4×2=8,C=2×4=8L=4\times2=8,\quad C=2\times4=8
Cell latticeFinite cells set the detector length.c0c1c2c3total=8 mactive=6 mcellCount=4 countpitch=2 mtotalLength=8 mactiveCells=3 countactiveLength=6 mactiveFraction=3/4 ratiolayerCount=2 countchannelCount=8 count

More cells raise channel count

Cell count 6 with pitch 1 m gives total length 6 m. Layer count 2 gives channels 12.

L=6×1=6,C=2×6=12L=6\times1=6,\quad C=2\times6=12
Cell latticeFinite cells set the detector length.c0c1c2c3c4c5total=6 mactive=4 mcellCount=6 countpitch=1 mtotalLength=6 mactiveCells=4 countactiveLength=4 mactiveFraction=2/3 ratiolayerCount=2 countchannelCount=12 count

Wider pitch raises total length

Cell count 5 with pitch 3 m gives total length 15 m. Layer count 3 gives channels 15.

L=5×3=15,C=3×5=15L=5\times3=15,\quad C=3\times5=15
Cell latticeFinite cells set the detector length.c0c1c2c3c4total=15 mactive=3 mcellCount=5 countpitch=3 mtotalLength=15 mactiveCells=1 countactiveLength=3 mactiveFraction=1/5 ratiolayerCount=3 countchannelCount=15 count