@article{10902/36609, year = {2025}, month = {4}, url = {https://hdl.handle.net/10902/36609}, abstract = {This paper introduces a novel approach for estimating the complex permittivity of liquids using a rectangular waveguide. The approach uses the finite difference time domain (FDTD) method, enhanced by perfectly matched layer (PML) boundary conditions to minimize reflections and ensure accurate calculation of the S-parameters. To address the challenge of sealing the waveguide ends, the waveguide is sealed at both ends with a resin sample of known complex permittivity, incorporating a small hole in the waveguide for liquid insertion. A Nelder–Mead optimization algorithm is then used in conjunction with the FDTD-PML method to estimate the complex permittivity of the liquid by iteratively comparing the calculated and measured S-parameters. Validated in the X-band frequency range, this technique demonstrates accurate estimation of the complex permittivity of liquid dielectric materials and offers a reliable means for liquid characterization.}, publisher = {American Institute of Physics}, publisher = {Journal of Applied Physics, 2025, 137(14), 144501}, title = {A novel hybrid 2D-FDTD-PML and Nelder-Mead methods for estimating liquid complex permittivity using a rectangular waveguide}, author = {Talmoudi, Omaima and Ait Benali, Lahcen and Terhzaz, Jaouad and Tribak, Abdelwahed and Fernández Ibáñez, Tomás}, }