Hello, lets consider a detector with extended dead time. I mean the there is the dead time, but during it other particles are arriving then the dead time is extended.
Is there a way to calculate it by ROOT knowing the expected (by simulation) and measured (by the detectors) poissonian dead time?
I’have to do this
I simulated particles by Geant4 hitting a scintillator, then I know that the estimated number is N. Measuring the counting rate by an ArduSiPM I measured M events, then I’ve to estimate the extended dead time of the ArduSiPM (i.e. taking into account that during the dead time the coming of other particles extends the dead time). Then, I don’t mean the simple static dead time N=M/(1-Mtau).
Look at page at the bottom of page 3 of this document.
There is the rate for paralyzable(extendedI dead time.
Pay attention to the fact that for a given output rate, in most cases, there are 2 possible solutions for the true input rate, where the correct one is the smaller.
On the book Radiation Detection and Measurement by Knoll, Glenn F. there is a good explenation
Hello @Dilicus yes…it must be lower…I made a mistake…
Anyway…I also think that my lambda_in isn’t 4.410^5 (i.e. the measurement of ArduSiPM) but lambda_in=9.510^5 (i.e. the value estimated by the simulation)
i.e. the lambda_out =7.110^5 is the number that must be compared with the counting rate measured by ArduSiPM (that is 4.410^5)…
To compare this number…I must still calculate the efficicency of the ArduSiPM… is it right now?
Hello @faca87,
what I think is that λ_in is your particle rate estimated by simulation weighted with the efficiency ( λ_in= N x ε ).
Such λ_in will give the λ_out you should compare with the measured rate of 4.4*10^5