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    NTMpy: An open source package for solving coupled parabolic differential equations in the framework of the three-temperature model
    (Amsterdam : North Holland Publ. Co., 2021) Alber, Lukas; Scalera, Valentino; Unikandanunni, Vivek; Schick, Daniel; Stefano Bonetti
    The NTMpy code package allows for simulating the one-dimensional thermal response of multilayer samples after optical excitation, as in a typical pump-probe experiment. Several Python routines are combined and optimized to solve coupled heat diffusion equations in one dimension, on arbitrary piecewise homogeneous material stacks, in the framework of the so-called three-temperature model. The energy source deposited in the material is modelled as a light pulse of arbitrary cross-section and temporal profile. A transfer matrix method enables the calculation of realistic light absorption in presence of scattering interfaces as in multilayer samples. The open source code is fully object-oriented to enable a user-friendly and intuitive interface for adjusting the physically relevant input parameters. Here, we describe the mathematical background of the code, we lay out the workflow, and we validate the functionality of our package by comparing it to commercial software, as well as to experimental transient reflectivity data recorded in a pump-probe experiment with femtosecond light pulses.
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    Toward ultrafast magnetic depth profiling using time-resolved x-ray resonant magnetic reflectivity
    (Melville, NY : AIP Publishing LLC, 2021) Chardonnet, Valentin; Hennes, Marcel; Jarrier, Romain; Delaunay, Renaud; Jaouen, Nicolas; Kuhlmann, Marion; Ekanayake, Nagitha; Léveillé, Cyril; von Korff Schmising, Clemens; Schick, Daniel; Yao, Kelvin; Liu, Xuan; Chiuzbăian, Gheorghe S.; Lüning, Jan; Vodungbo, Boris; Jal, Emmanuelle
    During the last two decades, a variety of models have been developed to explain the ultrafast quenching of magnetization following femtosecond optical excitation. These models can be classified into two broad categories, relying either on a local or a non-local transfer of angular momentum. The acquisition of the magnetic depth profiles with femtosecond resolution, using time-resolved x-ray resonant magnetic reflectivity, can distinguish local and non-local effects. Here, we demonstrate the feasibility of this technique in a pump–probe geometry using a custom-built reflectometer at the FLASH2 free-electron laser (FEL). Although FLASH2 is limited to the production of photons with a fundamental wavelength of 4 nm (≃310 eV), we were able to probe close to the Fe L3 edge (706.8 eV) of a magnetic thin film employing the third harmonic of the FEL. Our approach allows us to extract structural and magnetic asymmetry signals revealing two dynamics on different time scales which underpin a non-homogeneous loss of magnetization and a significant dilation of 2 Å of the layer thickness followed by oscillations. Future analysis of the data will pave the way to a full quantitative description of the transient magnetic depth profile combining femtosecond with nanometer resolution, which will provide further insight into the microscopic mechanisms underlying ultrafast demagnetization.