Primary Diffuse Spectrum Extraction via Correlation Matrix
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Solution Overview
Problem
Existing methods for analyzing materials using diffuse X-ray spectrometry face challenges in accurately extracting the primary diffuse radiation spectrum from the total diffuse spectrum, leading to imperfect results for determining material density and other physical or chemical information.
Innovation Solution
A method and device that apply a spectral response function, organized as a correlation matrix, to extract the primary diffuse radiation spectrum from the total diffuse spectrum by iteratively subtracting estimated multiple diffuse spectra, using a strongly collimated radiation source and detector, and interpolating spectral responses based on material density and depth.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the total diffuse spectrum is used to determine material characteristics, then the measurement can be obtained, but the determination precision is imperfect due to contamination from multiple diffuse radiation
Solution Approach 1:
The total diffuse spectrum is segmented into two distinct components: primary diffuse spectrum (photons interacting once) and multiple diffuse spectrum (photons interacting multiple times). The correlation matrix M enables mathematical separation of these components, allowing extraction of the pure primary diffuse spectrum for accurate material characteristic determination.
Solution Approach 2:
The invention extracts the harmful multiple diffuse spectrum component from the total diffuse spectrum using the correlation matrix M. By calculating M×Sp (where Sp is the primary diffuse spectrum) and subtracting from the total spectrum, the method isolates and removes the multiple diffusion contamination, leaving only the informative primary diffuse spectrum.
2Measurement precision
If iterative subtraction method is used to extract primary diffuse spectrum, then the extraction precision is improved, but the processing time increases
Solution Approach 1:
The correlation matrix M is pre-calculated based on the detection system geometry, material properties, and diffusion physics before the actual spectrum analysis. This preliminary preparation stores the relationship between primary and multiple diffuse components, enabling rapid iterative subtraction during actual measurement without recalculating fundamental parameters each time.
Solution Approach 2:
The invention replaces complex physical separation methods with mathematical computation. Instead of physically isolating primary diffuse photons from multiple diffuse photons, the method uses matrix multiplication and iterative subtraction algorithms to achieve separation, significantly reducing processing time compared to physical or experimental separation techniques.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach allows for precise extraction of the primary diffuse spectrum, enabling more accurate determination of material characteristics and physical-chemical information, with efficient programming and improved convergence in iterative processes.
Implementation Method 1
The X ray diffusion spectra comprise an important component of diffused photons that have interacted several times with the material. This component is called the multiple diffused spectrum.
Implementation Method 2
the primary diffuse spectrum, in other words, the diffusion spectrum which would be obtained in a situation whereby each photon is interacting only once with the material
Implementation Method 3
The invention applies in the first place to an analysis system with a strongly collimated radiation source, and a detector placed in the same half-space as the source opposite the surface of the studied material, which is also strongly collimated.
Implementation Method 4
The application domain of the invention extends in the first place to the spectrometry of diffuse X rays or gamma rays
Implementation Method 5
the method comprises an iterative process in which each step comprises an estimation of the multiple diffusion spectrum after a preceding estimation of the primary diffuse spectrum, and a new estimation of the primary diffusion spectrum, by subtracting said estimated multiple diffusion spectrum from the detected diffusion spectrum
Data Source
AI summary
A method and device for spectrometry analysis and for extracting a primary diffuse spectrum from a diffusion spectrum of diffuse radiation, according to a diffusion angle, coming from a material exposed to incident radiation through a surface, that includes the application of a spectral response function organized in the form of a matrix (M), known as a correlation matrix, of which each value aij corresponds with a number of detected photons, with energy Ei, constituting the multiple diffuse radiation, when a photon is detected, with energy Ej, of the primary diffuse radiation.