spad opcountrate → countrateimport fullseye as fs; fs.ledger.spad_deadtime_apply(rate_hz, dead_time_ns=50.0, paralyzable=False) (実装を直接呼ぶなら import photoncount; photoncount.spad_deadtime_apply(rate_hz, dead_time_ns=50.0, paralyzable=False)、台帳から引くなら opsphoton.get("spad_deadtime_apply"))Distort a true photon rate by the detector’s dead time (counts lost).
After every detection a SPAD is blind for a recharge (dead) time tau, so
the measured rate m is always below the true incident rate n.
Two classical laws, and this op implements both:
m = n / (1 + n*tau). Monotonic, saturating at 1/tau.paralyzable=True) — an arriving photon restarts the
dead time: m = n * exp(-n*tau). This law peaks at n = 1/tau
(where m = 1/(e*tau)) and then falls, so a bright scene can read
darker than a dim one. That is why no inverse op exists for it (see
:func:spad_deadtime_correct).rate_hz is a 1-D array of true rates in counts per second; dead_time_ns is the dead time in nanoseconds, defaulting to 50 — the middle of the 10-100 ns range a passively quenched SPAD occupies, and a placeholder to be replaced by the datasheet value, never a measurement of your detector. Returns the measured rates as a float64 1-D array of the same length.
Ground truth (pinned in the tests): at n = 1/tau the non-paralysable law
gives exactly n/2; the paralysable law’s maximum is exactly
1/(e*tau) at n = 1/tau; both reduce to m = n as n*tau -> 0.
Raises ValueError: negative, non-finite or non-1-D rate_hz, a
non-positive dead_time_ns, and a non-bool paralyzable.
py -3.11 examples/photon_timeresolved.pycountrate を入力に取れる)spad)spad_deadtime_correct · tcspc_coates_correct
Provenance: photoncount.py — PHOTON operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.