X-ray Phase Imaging via Spatial Frequency Spectrum Analysis

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Solution Overview

Problem

Existing X-ray imaging methods require multiple images to retrieve wavefront shape, increasing radiation dose and measurement time, and are prone to errors due to transmissivity distribution and uneven illumination.

Innovation Solution

An X-ray imaging apparatus that uses a diffraction grating and a calculator to obtain spatial frequency spectra from intensity distributions, allowing for phase information calculation and reducing the number of images needed while improving spatial resolution and eliminating noise from uneven illumination.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If the phase shift method using multiple images is used to retrieve wavefront shape, then the wavefront retrieval is achieved, but the X-ray radiation dose and measuring time are increased

Engineering Contradiction:
Improvewavefront retrieval accuracyVSAvoidmeasuring time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent segments the wavefront measurement process into two independent one-dimensional measurements. By using separate gratings for horizontal and vertical directions, the system retrieves wavefront information in two stages rather than requiring multiple full 2D images, thereby reducing measurement time and radiation dose while maintaining accuracy.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent transforms the 2D wavefront measurement problem into two separate 1D measurement problems. By decomposing the measurement into horizontal and vertical components that can be independently measured and then combined, the system reduces the number of images required from multiple 2D images to just two 1D line profiles.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Productivity

If the Fourier transform method is used to obtain phase distribution from self-image, then two-dimensional wavefront retrieval is achieved from one interference image, but components from transmissivity distribution and uneven illumination are included causing measurement errors

Engineering Contradiction:
Improvemeasurement efficiencyVSAvoidphase distribution accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent extracts only the differential phase information from the interference pattern by using line profile analysis along specific directions. By focusing measurement on one-dimensional line profiles rather than analyzing the entire 2D self-image, the system isolates the phase information from confounding factors like transmissivity distribution and illumination不均匀ity.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent introduces a scanning mechanism that dynamically moves the detector or grating to capture line profiles at different positions. This dynamic approach allows sequential measurement of horizontal and vertical components, enabling accurate wavefront retrieval while eliminating static artifacts from the imaging process.

Inventive Principle:
Principle #15Dynamics

3Measurement precision

If at least six images are captured to obtain differential wavefronts in mutually perpendicular directions, then the wavefront shape is retrieved, but the X-ray radiation dose is increased

Engineering Contradiction:
Improvewavefront shape accuracyVSAvoidX-ray radiation dose
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

The patent segments the wavefront measurement into two independent one-dimensional measurements using separate gratings for horizontal and vertical directions. This segmentation reduces the required images from six 2D images to just two 1D line profiles, thereby reducing the X-ray radiation dose by more than half while maintaining measurement accuracy.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent applies partial action by measuring only the essential one-dimensional line profiles needed for wavefront retrieval rather than capturing complete two-dimensional images. By obtaining minimal sufficient data (two 1D profiles instead of six 2D images), the system reduces radiation exposure while achieving the measurement objective.

Inventive Principle:
Principle #16Partial or excessive action

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

The apparatus achieves high-accurate X-ray phase image measurement with reduced radiation dose and measurement time, improved spatial resolution, and minimized errors from transmissivity and illumination issues.

Implementation Method 1

a diffraction grating configured to diffract an X-ray from the X-ray source

Methodology Applied
Scientific EffectDiffraction: Diffraction

Data Source

PatentUS9107637B2X-ray imaging apparatus and wavefront measuring apparatus
Publication Date: 2015.08.18 CANON KK
  • US9107637B2 patent drawing
  • US9107637B2 patent drawing
  • US9107637B2 patent drawing

AI summary

There is provided an X-ray imaging apparatus which images a specimen. The X-ray imaging apparatus comprises: an X-ray source; a diffraction grating configured to diffract an X-ray from the X-ray source; an X-ray detector configured to detect the X-ray diffracted by the diffraction grating; and a calculator configured to calculate phase information of the specimen on the basis of an intensity distribution of the X-ray detected by the X-ray detector, wherein the calculator obtains a spatial frequency spectrum from the plural intensity distributions, and calculates the phase information from the obtained spatial frequency spectrum.