X-ray Diffraction Profile Correction via Piecewise Spectral Functions
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Solution Overview
Problem
Existing X-ray diffraction imaging systems face challenges in noise increase and reduced detection rates due to normalization against non-uniform primary spectra, and angular variations in scatter angles affect accurate identification of objects.
Innovation Solution
A method involving a piecewise spectral-correction function is applied to remove K structure non-uniformity from the emission spectrum, and an angular-variation correction procedure transforms energy-dispersive XRD spectra to a common intensity and momentum scale, regardless of scatter angle.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If normalization is applied to remove non-uniform primary spectrum, then spectral structures are removed, but noise significantly increases
Solution Approach 1:
The patent extracts and removes only the harmful spectral structures (K-alpha lines, K-beta lines, and K-edge artifacts) from the primary spectrum while preserving the underlying continuous bremsstrahlung background. This selective extraction approach eliminates the need for full normalization, thereby removing spectral interference without introducing the noise amplification that occurs with conventional normalization methods.
Solution Approach 2:
The patent converts the harmful non-uniform spectral structures into beneficial information by using them to create a correction function. The correction function is derived from the measured primary spectrum and applied to correct subsequent XRD measurements, transforming the problematic spectral variations into a useful correction mechanism that improves measurement accuracy without increasing noise.
2Measurement precision
If normalization is applied to correct primary spectrum non-uniformity, then spectral structures are removed, but genuine XRD peaks are suppressed
Solution Approach 1:
The patent extracts only the discrete spectral structures (K-alpha, K-beta lines and K-edge) from the continuous spectrum, leaving the bremsstrahlung background intact. This selective removal prevents the suppression of genuine XRD peaks that would occur with full normalization, as the continuous background component is preserved and does not interfere with peak detection.
Solution Approach 2:
The patent applies different handling to different components of the spectrum: discrete spectral structures are removed through correction functions, while the continuous bremsstrahlung background is preserved. This local differentiation ensures that spectral interference is eliminated without affecting the intensity information carried by genuine XRD peaks in the continuous spectrum region.
3Measurement precision
If angular-variation correction is applied to transform spectra to common scale, then identification accuracy is improved, but device complexity increases
Solution Approach 1:
The patent changes the parameter of scatter angle normalization by introducing a correction function that accounts for angular variations in the X-ray beam path. This parameter transformation allows spectra measured at different scatter angles to be transformed to a common reference scale, improving identification accuracy while the correction function itself serves as a practical solution to the complexity issue.
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 reduces noise, enhances peak amplitudes, and ensures accurate identification of materials by correcting for spectral structures and angular variations, improving detection rates and reducing false alarms.
Implementation Method 1
An X-ray imaging system includes an X-ray source that transmits X-rays through a container towards a detector
Implementation Method 2
a detector configured to detect radiation scattered by an interaction of the primary beam with an object
Implementation Method 3
calculating a piecewise spectral-correction function using the spectral structures in the emission spectrum, applying the spectral-correction function to the measured spectrum
Implementation Method 4
an angular-variation correction procedure transforms energy-dispersive XRD spectra to a common intensity and momentum scale, regardless of scatter angle
Data Source
AI summary
A method for correcting an X-ray diffraction (XRD) profile measured by an X-ray diffraction imaging (XDi) system is provided. The XDi system includes an anode, a detector, and a control system. The method includes obtaining an emission spectrum of the anode using the control system. The emission spectrum includes spectral structures. The method further includes calculating a piecewise spectral-correction function using the spectral structures in the emission spectrum, obtaining a measured spectrum of an object, and applying the spectral-correction function to the measured spectrum to generate a spectrally-corrected measured spectrum.