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Publications by
Dr. Lars Lötgering

All publications of HI Jena


T. Aidukas, L. Lötgering, and A. Harvey
Addressing phase-curvature in Fourier ptychography
Optics Express 30, 22421 (2022)

Abstract: In Fourier ptychography, multiple lowresolution images are captured and subsequently combined computationally into a high-resolution, large-field of view micrograph. A theoretical image-formation model based on the assumption of plane-wave illumination from various directions is commonly used, to stitch together the captured information into a high synthetic aperture. The underlying far-field (Fraunhofer) diffraction assumption connects the source, sample, and pupil planes by Fourier transforms. While computationally simple, this assumption neglects phase-curvature due to non-planar illumination from point sources as well as phasecurvature from finite-conjugate microscopes (e.g., using a single-lens for image-formation). We describe a simple, efficient, and accurate extension of Fourier ptychography by embedding the effect of phase-curvature into the underlying forward model. With the improved forward model proposed here, quantitative phase reconstruction is possible even for wide fields-of-views and without the need of image segmentation. Lastly, the proposed method is computationally efficient, requiring only two multiplications: prior and following the reconstruction.

A. de Beurs, L. Lötgering, M. Herczog, M. Du, K. Eikema, and S. Witte
aPIE: an angle calibration algorithm for reflection ptychography
Optics Letters 47, 1949 (2022)

Abstract: Reflection ptychography is a lensfree microscopy technique particularly promising in regions of the electromagnetic spectrum where imaging optics are inefficient or not available. This is the case in tabletop extreme ultraviolet microscopy and grazing incidence small angle x ray scattering experiments. Combining such experimental configurations with ptychography requires accurate knowledge of the relative tilt between the sample and the detector in non-coplanar scattering geometries. Here, we describe an algorithm for tilt estimation in reflection ptychography. The method is verified experimentally, enabling sample tilt determination within a fraction of a degree. Furthermore, the angle-estimation uncertainty and reconstruction quality are studied for both smooth and highly structured beams.

L. Lötgering, S. Witte, and J. Rothhardt
Advances in laboratory-scale ptychography using high harmonic sources [Invited]
Optics Express 30, 4133 (2022)

Abstract: Extreme ultraviolet microscopy and wavefront sensing are key elements for nextgeneration ultrafast applications, such as chemically-resolved imaging, focal spot diagnostics in pump-and-probe experiments, and actinic metrology for the state-of-the-art lithography node at 13.5 nm wavelength. Ptychography offers a robust solution to the aforementioned challenges. Originally adapted by the electron and synchrotron communities, advances in the stability and brightness of high-harmonic tabletop sources have enabled the transfer of ptychography to the laboratory. This review covers the state of the art in tabletop ptychography with high harmonic generation sources. We consider hardware options such as illumination optics and detector concepts as well as algorithmic aspects in the analysis of multispectral ptychography data. Finally, we review technological application cases such as multispectral wavefront sensing, attosecond pulse characterization, and depth-resolved imaging.


T. Aidukas, L. Lötgering, and A. R. Harvey
Segmentation-free, full-field Fourier ptychography

Abstract: We present a simple computational method for full-field, segmentation-free Fourier-ptychographic reconstruction, which requires only two multiplications prior and after the reconstruction. This way, quantitative widefield reconstruction is possible even in the presence of illumination curvature.