Absolute nuclear material assay using count distribution (LAMBDA) space
A method of absolute nuclear material assay of an unknown source comprising counting neutrons from the unknown source and providing an absolute nuclear material assay utilizing a model to optimally compare to the measured count distributions. In one embodiment, the step of providing an absolute nuclear material assay comprises utilizing a random sampling of analytically computed fission chain distributions to generate a continuous time-evolving sequence of event-counts by spreading the fission chain distribution in time.
1. An apparatus comprising:
means for generating a measured count distribution data for neutrons emitted from a source, utilizing a defined sampling method;
means for computing truncated statistical moments for the measured count distribution data;
means for executing a transform function on the measured count distribution data to obtain a time-dependent parameter (lambda) space, and to generate a model count distribution;
means for mapping probability values within the measured count distribution data to the model count distribution based on untruncated count distribution data;
means for generating untruncated statistical moments based on the probability values;
means for fitting an equation to a plot of the truncated statistical moments to provide at least one of a deadtime parameter, a lifetime parameter or a bias parameter, and to select one or more physical parameters of interest from the measured count distribution;
means for performing an iterative algebraic process to compute solutions for the selected physical parameters of interest;
means for verifying the computed solutions using parameters associated with the lambda space and the model count distribution, and generating solution estimates for the selected physical parameters if the verification reveals incorrect results for the computed solutions of the selected physical parameters;
means for comparing the untruncated statistical moments to the truncated statistical moments;
means for comparing the untruncated measured count distribution to the model count distribution; and
means for comparing the solution estimates with the measured count distribution data to provide an indication of the correct solution for the selected physical parameters.
2. The apparatus of claim 1 wherein the selected physical parameters comprise at least one of five parameters associated with an absolute nuclear material assay, the five parameters including: mass, multiplication, alpha ratio, efficiency, and time constant.
3. The apparatus of claim 2 wherein the truncated statistical moments comprise mean, variance, skew, and kurtosis.
4. An apparatus comprising:
a first processing component generating a measured count distribution data for neutrons emitted from a source, utilizing a defined sampling method, computing truncated statistical moments for the measured count distribution data, and executing a transform function on the measured count distribution data to obtain a time-dependent parameter (lambda) space and to generate a model count distribution;
a second processing component mapping probability values within the measured count distribution data to the model count distribution based on untruncated count distribution data, and generating untruncated statistical moments based on the probability values, and fitting an equation to a plot of the truncated statistical moments to provide at least one of a deadtime parameter, a lifetime parameter or a bias parameter, and to select one or more physical parameters of interest from the measured count distribution;
a third processing component performing an iterative algebraic process to compute solutions for the selected physical parameters of interest, and verifying the computed solutions using parameters associated with the lambda space and the model count distribution, and generating solution estimates for the selected physical parameters if the verification reveals incorrect results for the computed solutions of the selected physical parameters; and
a fourth processing component comparing the untruncated statistical moments to the truncated statistical moments, comparing the untruncated measured count distribution to the model count distribution, and comparing the solution estimates with the measured count distribution data to provide an indication of the correct solution for the selected physical parameters.
5. The apparatus of claim 4 wherein the selected physical parameters comprise at least one of five parameters associated with an absolute nuclear material assay, the five parameters including: mass, multiplication, alpha ratio, efficiency, and time constant.
6. The apparatus of claim 5 wherein the truncated statistical moments comprise mean, variance, skew, and kurtosis.