Fourier Ptychographic Imaging With Spectral Dispersion Correction
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Solution Overview
Problem
Current Fourier ptychography methods fail to account for the spectral profile of the light source, relying on a single wavelength parameter for image reconstruction, leading to suboptimal image quality due to wavelength-dependent dispersion and chromatic aberrations.
Innovation Solution
A method and apparatus utilizing a color-corrected optical unit with a multiplicity of illumination elements arranged in distributed fashion, detecting spatial frequency patterns at nominal spatial frequencies, and reconstructing images through inverse Fourier transformation, while correcting for the optical unit's modulation transfer function and limiting the spatial frequency domain by the numerical aperture.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If a single wavelength parameter is used for image reconstruction, then the reconstruction process is simplified, but image quality deteriorates due to unaccounted spectral profile and wavelength-dependent dispersion
Solution Approach 1:
The patent transitions from using a single wavelength parameter to using a spectral profile that accounts for the actual wavelength distribution of the light source. This parameter change enables the system to compensate for wavelength-dependent dispersion and chromatic aberrations, thereby improving image quality while maintaining computational feasibility through structured spectral processing.
2Measurement precision
If the spectral profile of the light source is taken into account, then image quality improves, but computational complexity increases
Solution Approach 1:
The patent segments the spectral profile into discrete wavelength components or bands, allowing the reconstruction process to handle the spectral information in manageable portions. This segmentation enables the system to account for the full spectral profile while reducing computational complexity through structured processing of spectral data.
3Measurement precision
If illumination elements are arranged in distributed fashion at multiple locations, then spatial frequency coverage improves, but device complexity increases
Solution Approach 1:
The patent employs illumination elements that can be selectively activated at different locations to provide multi-functional illumination. This allows a single illumination system to cover multiple spatial frequency ranges by activating different elements, thereby improving spatial frequency coverage without proportionally increasing device complexity.
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
Enables high-resolution, dispersion-free image reconstruction by accounting for the spectral profile of the light source, reducing computational complexity and improving image quality by compensating for wavelength-dependent distortions.
Implementation Method 1
The sample to be examined is scanned by an electromagnetic beam or a particle beam, which is scattered by the material and forms a diffraction and/or interference pattern
Implementation Method 2
The sample to be examined is scanned by an electromagnetic beam or a particle beam, which is scattered by the material and forms a diffraction and/or interference pattern
Implementation Method 3
wavelength-dependent dispersion and chromatic aberrations
Implementation Method 4
an image of the entire sample can be computed by an algorithm (e.g. inverse Fourier transformation)
Data Source
AI summary
Various embodiments of the teachings herein include a method for the Fourier ptychographic generation of an image of an object by means of a color-corrected optical unit. An example includes: illuminating the object with a multiplicity of illumination elements arranged in distributed fashion at a corresponding multiplicity of locations in space; detecting a plurality of spatial frequency patterns resulting from illuminating the object in each case with an individual illumination element or a plurality of illumination elements from the multiplicity of illumination elements; centering each spatial frequency pattern at a position in the Fourier space corresponding to a nominal spatial frequency of the respective illumination element or of the respective illumination elements; and reconstructing the image using a totality of all the respectively centered spatial frequency patterns.