Max Exposure per Line calculator
Each row's photon-collection window is bounded above by the time between consecutive line readouts — the row period (1 ÷ line rate). Exposure-budget class: tight.
How this is calculated
A linescan camera reads one row of pixels at every readout event — and the maximum integration time the camera can spend collecting photons for that row is exactly one row period: 1 ÷ line rate.
Pick a line rate, and the max exposure per line reads as t_exposure_max = 1 ÷ f_line. The 1-up cell above publishes the per-row exposure ceiling in microseconds. Higher line rates compress the exposure budget linearly: doubling the line rate halves the per-row integration window. The exposure budget is the binding constraint on a linescan station's illumination strategy — short per-row exposures demand strong light delivery to the part during each row's integration window. Pair this calc with the Line Rate For Square Pixels calc to read the exposure budget at the geometrically correct line rate; pair with the TDI Signal/SNR Gain calc when single-stage exposure budgets are too tight to deliver adequate SNR and TDI delay-and-add multiplies effective exposure across stages.
The math behind this calc is the simplest possible formulation: a linescan camera, by construction, reads exactly one row of pixels at each readout event, and consecutive readouts happen at a fixed rate (the line rate, in Hz). The time between consecutive readouts is 1 ÷ line rate — that's the row period (T_row). The maximum possible integration time per row is exactly T_row: any longer and the camera's exposure for one row would overlap with the next row's readout, corrupting the per-row pixel values by mixing photons from two distinct intervals. The relationship is hard physics — exposure cannot exceed the inter-readout interval — and the upper bound is exactly that interval. Practical operating points often use shorter exposures than the maximum (to avoid motion-blur during transport, to gate strobe pulses to a sub-row window, or to stay within the camera's electronic exposure-control limits), but the maximum is the ceiling above which the line readouts overlap.
The per-row exposure budget sits at the centre of linescan illumination strategy. At default 50 kHz line rate the calc lands t_exposure_max = 20 μs — the standard MV linescan production register where high-flux LED bar illumination delivers adequate SNR for typical inspection contrast. The budget compresses linearly with line rate: doubling to 100 kHz collapses the budget to 10 μs; doubling again to 200 kHz collapses it to 5 μs (squarely in very-tight territory where high-flux halogen line lights or very-high-flux LED arrays with strobe-sync timing become the only viable illumination strategies); halving to 25 kHz expands it to 40 μs (moderate territory where standard LED bars suffice). The slow end of typical MV linescan operation (1–10 kHz line rates for low-feature-density inspection or scanning-microscope applications) lands the budget in the 100–1000 μs ample territory where even continuous-current LED illumination delivers sufficient flux. The fast end (≥ 500 kHz; specialty silicon inspection, printing-press inspection, TDI-stage operations) crosses into critical territory below 2 μs where single-stage SNR is physically limiting and TDI delay-and-add (LS6) becomes the operational answer to multiply effective exposure across N parallel sensor stages.
The exposure-budget-class register below the diagram reads off the computed maximum exposure directly: ample (≥ 500 μs) is slow-line-rate territory where standard-flux LED bar or even continuous-current LED illumination suffices for adequate SNR (specialty inspection, scanning-microscope-style line readouts, low-feature-density inspection of large parts at low line rates); moderate (50–500 μs) is moderate-line-rate inspection territory (2–20 kHz; standard-flux LED bar illumination delivers adequate SNR; exposure budget is comfortable but not abundant); tight (10–50 μs) is the standard MV linescan production register (20–100 kHz; default 50 kHz → 20 μs lands here — the canonical mid-range MV inspection register; high-flux LED bar illumination required for adequate SNR; the standard production-line camera + lighting pairing); very-tight (2–10 μs) is high-speed production inspection territory (100–500 kHz; demands very-high-flux LED illumination with strobe-sync timing OR high-flux halogen line lights with active cooling); critical (< 2 μs) is TDI / specialty / ultra-fast linescan (≥ 500 kHz; single-stage exposure budgets become physically limiting; inspection often migrates to TDI stages — LS6 — to multiply effective exposure via delay-and-add). This calc is the per-row exposure ceiling for the chosen line rate; pair it with the Along-Scan Pixel Size calc (verify the resulting along-scan pitch matches the cross-scan target), the Line Rate For Square Pixels calc (size the line rate that delivers square reconstruction; the exposure budget at THAT rate is the binding illumination constraint), and the TDI Signal/SNR Gain calc (for low-light high-speed setups where single-stage SNR is inadequate, TDI multiplies effective exposure across N stages). For areascan sensors the exposure budget is set by the frame-rate ceiling rather than the per-row line-rate ceiling — a different binding question (M2 — Rolling Shutter Flash Duration — covers the analogous areascan timing constraint when strobing is required).