Fluorescence tomography is a well-established methodology able to provide structural and functional information on the measured object. At optical wavelengths, the unpredictable scattering of light is often considered a problem to overcome, rather than a feature to exploit. Advances in disordered photonics have shed new light on possibilities offered by opaque materials, treating them as autocorrelation lenses able to create images and focus light. In this Letter, we propose tomography through disorder, introducing a modified Fourier-slice theorem, the cornerstone of the computed tomography, aiming to reconstruct a three-dimensional fluorescent sample hidden behind an opaque curtain.
We discuss the problem of tomographic reconstruction of fluorescent objects hidden behind random media. To accomplish this, we focus on the properties of the autocorrelation, relying on phase retrieval algorithms to perform 3D reconstruction.
The reconstruction of an object hidden behind a scattering curtain is a modern topic in the field of imaging, which has stimulated an active scientific production over the past few years. However, most of the work done in the field was in addressing the reconstruction of a bi-dimensional object. Here, instead, we tackle the reconstruction of a three-dimensional fluorescent sample hidden behind an opaque layer. To do so, we show that the auto-correlation operation well behave in projection tomography, letting us to reconstruct a three-dimensional auto-correlation of the object. By having access to such information, it is possible to implement a phase retrieval algorithm to roll back to the actual reconstruction of the specimen.
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