Diffuse Radiation Spectrum Processing via Matrix Decomposition
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Solution Overview
Problem
Current diffuse radiation spectrometry methods, particularly in the analysis of materials using X or gamma radiation, face challenges in accurately distinguishing between primary and multiple diffuse radiation spectra, leading to imperfect estimates of material density and other physical and chemical information.
Innovation Solution
A method and device for processing diffuse radiation spectra through a material, involving a main detector and a secondary detector to measure primary and multiple spectra, respectively, with a matrix decomposition process to separate these components, using a weights matrix and a spectra matrix, and an iterative process to converge on non-negative matrix factors.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If the total diffuse radiation spectrum is used to determine material properties, then the measurement process is simple, but the estimation of material density and other physical and chemical information is imperfect
Solution Approach 1:
The total diffuse radiation spectrum is segmented into two distinct components: primary diffuse radiation spectrum (photons interacting once with the material) and multiple diffuse radiation spectrum (photons interacting multiple times). This segmentation is achieved through a specific measurement geometry where the detector observes the radiation beam inside the material, allowing separation of the two components based on their different physical origins and interaction paths.
2Measurement precision
If the primary diffuse radiation spectrum is extracted using matrix decomposition, then the physical and chemical information accuracy is improved, but the processing complexity increases
Solution Approach 1:
A measurement matrix is introduced as an intermediary structure that contains the measured spectra data. This matrix serves as a bridge between the raw spectral measurements and the extracted primary diffuse radiation spectrum. The matrix decomposition process (X = A × S) breaks down the complex spectral data into interpretable components, where S represents the spectra matrix containing the primary and multiple diffuse radiation spectra, and A represents the weights matrix containing the relative contributions of each component.
3Measurement precision
If multiple detectors are used to measure different spectrum components, then the separation between primary and multiple diffuse radiation is improved, but the device complexity increases
Solution Approach 1:
Different detectors are positioned with specific local qualities in terms of their observation geometry. The main detector is positioned to observe the radiation beam inside the material, making it sensitive to both primary and multiple diffuse radiation. Secondary detectors are positioned to observe only multiple diffuse radiation by excluding the direct beam path. This local differentiation in detector positioning and observation geometry enables component separation without requiring complex detector designs.
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 radiation spectrum from the total spectrum, providing more accurate physical and chemical information about the material, enhancing the analysis of materials by distinguishing between primary and multiple interactions.
Implementation Method 1
When they encounter the material on which they are projected, the X photons induce different types of interaction with the material: fluorescence or internal conversion (photoelectric effect during which the photon transfers all its energy to the material which returns it afterwards), inelastic diffusion, (or Compton effect which includes a change in the direction of the photon and a reduction of its energy)
Implementation Method 2
The X diffusion spectra comprise an important component of diffuse photons that have interacted several times with the material. This component is called the multiple diffuse radiation spectrum.
Implementation Method 3
a matrix (X) is constructed, called measurements matrix, starting from the previously measured spectra, said measurements matrix is decomposed in two non-negative matrices, namely a matrix (A) called weights matrix and a matrix (S) called spectra matrix, the latter comprises an estimated multiple diffuse radiation spectrum and an estimated primary diffuse radiation spectrum
Data Source
AI summary
A method and device for obtaining a first radiation spectrum diffused through a material, in which the material is exposed to an incident irradiation beam emitted by a radiation source. A first radiation spectrum diffused through the material is measured by means of a main detector, arranged so that its observation field intersects the irradiation beam inside the material. At least one secondary radiation spectrum diffused through the material is measured by means of at least one secondary detector and a measurements matrix (X) is constructed starting from previously measured spectra. The measurements matrix is decomposed in two non-negative matrices, a weights matrix (A) and a spectra matrix (S), where the spectra matrix includes an estimated multiple diffuse radiation spectrum and an estimated primary diffuse radiation spectrum. The device includes a microprocessor and computer program. A computer program product for implementing the method is also provided.