"Diffraction Tomography for Confocal Measurements: k-space Analysis Across Different Scan Geometries"Noemi NaujoksDiffraction tomography (DT) is an inverse scattering technique used to reconstruct the scattering potential of weakly scattering objects. In its conventional formulation, DT assumes monochromatic plane wave illumination - a simplification that is often unrealistic in practical imaging scenarios, where incident fields are typically focused onto a specific region of interest. To address this, we propose using incident Herglotz waves, generalizing DT to incorporate focused beam illumination. In this framework, confocal measurements can be acquired by actively scanning the object with the focus. In this talk, I will extend the classical Fourier diffraction theorem to confocal measurements, providing the foundation for tomographic reconstruction. With this theorem at hand, I will analyze the achievable Fourier coverage for different scan geometries. This talk is based on a joint work with P. Elbau and O. Scherzer. |
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