Fission meter and neutron detection using poisson distribution comparison
View Patent ↗A neutron detector system and method for discriminating fissile material from non-fissile material wherein a digital data acquisition unit collects data at high rate, and in real-time processes large volumes of data directly into information that a first responder can use to discriminate materials. The system comprises counting neutrons from the unknown source and detecting excess grouped neutrons to identify fission in the unknown source. Comparison of the observed neutron count distribution with a Poisson distribution is performed to distinguish fissile material from non-fissile material.
1. A method of determining whether a radiation source has the characteristic of fission, comprising the steps of:
counting neutrons emitted from the radiation source;
defining a measurement time period;
determining the number of times that a group of n simultaneously emitted neutrons is observed from the radiation source after the measurement time period is repeated a defined number of times to derive a neutron count measurement;
subtracting an expected number of pairs of neutrons emitted by a hypothetical non-fission Poisson neutron source during the measurement time period from the number of pairs of observed neutrons derived from the neutron count measurement to provide a calculated result;
determining if the number of pairs of observed neutrons exceeds the expected number of pairs of neutrons by a defined error range for each subtraction of the expected number of pairs of neutrons from the observed number of pairs of neutrons, wherein the defined error range represents a statistical measure that is indicative of fission by the observed neutrons;
producing a histogram representing the number of times different group sizes occur from a number of measurement time periods;
deriving a Poisson count distribution for the Poisson neutron source; and
overlaying the histogram and the Poisson count distribution to provide a visual indication of the difference provided by the calculated result, wherein a difference between the number of pairs of observed neutrons and the expected number of pairs of neutrons in excess of the defined error range in at least a portion of the overlaid histogram and Poisson count distribution characterizes the radiation source as fissile.
2. The method of claim 1 further comprising accounting for background radiation to characterize the source as fissile or non-fissile based on the visually indicated difference and the background radiation.
3. The method of claim 2 wherein the step of accounting for background radiation comprises filtering out the background radiation from the count of neutrons emitted from the radiation source by selecting a device or source parameter such that a count rate of the radiation source is significantly higher than the count rate of the background radiation.
4. The method of claim 3 wherein the device or source parameter selected to filter out the background radiation comprises at least one of: a mass of the radiation source, a multiplication factor, and an efficiency of a detector determining the number of times that the group of n simultaneously emitted neutrons is observed.
5. A method of determining whether a radiation source has the characteristic of fission, comprising:
measuring the number of neutrons simultaneously emitted from the radiation source during a number of measurement time periods to derive a multiplet count distribution;
computing the mean count rate of the multiplet count distribution;
computing the number of pairs of the multiplet count distribution;
using the mean count rate to produce a Poisson distribution for the mean count rate;
computing the expected number of pairs for a Poisson distribution;
defining an error range for each count of the multiplet count distribution, wherein the defined error range represents a statistical measure that is indicative of fission of the radiation source;
subtracting the expected number of pairs for the Poisson distribution from the number of pairs in the measurement to produce a calculated result;
characterizing the radiation source as fissile material if the number of pairs in the measurement exceeds the number of pairs for the Poisson distribution by the at least the error range for each respective count; and
producing a hypothetical histogram for the Poisson distribution;
producing a count histogram for the count measurement representing the number of times different group sizes occur from the number of measurement time periods; and
overlaying the histogram and the Poisson count distribution in such a way as to make the mean count of the hypothetical histogram the same as for the count histogram and to provide a visual indication of the difference provided by the calculated result; and
accounting for background radiation to characterize the source as fissile or non-fissile based on the visually indicated difference and the background radiation.
6. The method of claim 5 further comprising the step of determining the value of a coefficient, Cn, which represents the number of times that a group of n neutrons is observed after repeating a ½ millisecond measurement time period a defined number of times, and wherein the mean count is calculated by the formula:
C
_
=
∑
n
=
0
∞
nCn
∑
n
=
0
∞
Cn
7. The method of claim 6 wherein the shape of the histogram representation of the count measurement is given by the formula:
Cn-poisson
=
c
_
n
n
!
ⅇ
-
c
_
8. The method of claim 5 further comprising filtering out background radiation by selecting a device or source parameter such that a count rate of the radiation source is significantly higher than the count rate of the background radiation.
9. The method of claim 8 wherein the device or source parameter selected to filter out the background radiation comprises at least one of: a mass of the radiation source, a multiplication factor, and an efficiency of the detector determining the number of times that the group of n simultaneously emitted neutrons is observed.