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¹Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

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Summary

This summary is machine-generated.

This study introduces a novel optical tomographic imaging technique using a broken-ray transform for mesoscopic scattering regimes. The method accurately reconstructs extinction coefficients, showing potential for biomedical imaging applications.

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Area of Science:

Optics and Photonics
Medical Imaging
Computational Physics

Background:

Mesoscopic optical imaging presents challenges due to photon scattering.
Existing tomographic techniques struggle with systems where photon mean-free path approximates system size.

Purpose of the Study:

To develop a tomographic imaging technique for mesoscopic scattering regimes.
To recover the extinction coefficient of inhomogeneous media using a novel transform.

Main Methods:

Utilized a generalized Radon transform, termed the broken-ray transform, assuming single scattering.
Employed numerical simulations solving the radiative transport equation without approximations for forward data.
Investigated tomographic imaging in slabs of varying widths.

Main Results:

The broken-ray transform technique successfully recovers extinction coefficients from angularly resolved measurements.
The technique is effective in systems up to approximately six scattering events in width.
The broken-ray transform does not exacerbate the ill-posedness of the inverse problem compared to the standard Radon transform.

Conclusions:

The developed tomographic imaging technique is suitable for mesoscopic scattering conditions.
The broken-ray transform offers a viable approach for optical imaging in scattering media.
Potential applications in biomedical imaging are highlighted.