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Eliminating incident subtraction in diffraction tomography.

¹Department of Mechanical Engineering , Imperial College London , Exhibition Road, London, UK.

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|December 14, 2016

Summary

Diffraction tomography can be simplified by applying the algorithm directly to measured signals, eliminating the need to subtract the incident field. This approach improves accuracy and efficiency in quantitative reconstructions.

Keywords:

baseline subtraction diffraction tomography imaging incident field quantitative imaging

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Area of Science:

Physics
Applied Mathematics
Imaging Science

Background:

Diffraction tomography is crucial for high-resolution quantitative reconstructions.
A key challenge is the subtraction of the incident field, which is often unmeasurable and requires estimation, leading to errors.

Purpose of the Study:

To demonstrate that subtracting the incident field is unnecessary for certain widely used diffraction tomography formulations.
To show that the algorithm can be directly applied to measured signals, simplifying the process and reducing errors.

Main Methods:

Theoretical derivation showing the incident field vanishes under far-field conditions.
Practical demonstrations and tests with subsampled arrays.
Analysis of performance with correlated and uncorrelated errors.

Main Results:

The incident field has a negligible effect on the final reconstruction.
Aliasing artifacts can occur with subsampled arrays but are removable with filtering.
Various array configurations were tested, showing no significant effect from the incident field.

Conclusions:

Diffraction tomography can be applied directly to measured signals, bypassing the problematic incident field subtraction.
This simplification enhances the robustness and applicability of diffraction tomography in various fields.