@article{miskiewicz_schmidt_escuti_2014, title={A 2D FDTD Algorithm for Whole-Hemisphere Incidence on Periodic Media}, volume={62}, ISSN={["1558-2221"]}, DOI={10.1109/tap.2013.2296302}, abstractNote={We present a modified version of the 2D split-field finite difference time domain (FDTD) method which enables efficient simulation of periodic structures. Our algorithm allows for broadband, whole-hemisphere oblique incidence sources with structures that are inhomogeneous in permittivity, conductivity, and permeability. The structures considered are of finite extent in one dimension, periodic in a second orthogonal dimension, and uniform (or homogeneous) in a third dimension. With prior FDTD methods, this required a full 3D simulation space. In this work, we reduce the modeling space from a 3D grid to a 2D grid, while still allowing incident waves to be oblique with respect to that dimension. We derive this new algorithm beginning with a complete source definition that allows for arbitrary polarization and incidence direction. The key update equations are found, and we also give a method for finding the full vectorial far-field orders from the simulation output. We validate the method by simulating an etalon, a Bragg grating, and a photonic band gap structure.}, number={3}, journal={IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION}, author={Miskiewicz, Matthew N. and Schmidt, Stefan and Escuti, Michael J.}, year={2014}, month={Mar}, pages={1348–1353} }
 @article{schmidt_lazzi_2004, title={Use of the FDTD thin-strut formalism for biomedical telemetry coil designs}, volume={52}, ISSN={["1557-9670"]}, DOI={10.1109/TMTT.2004.832019}, abstractNote={The finite-difference time-domain (FDTD) method extended by thin-strut formalism was used to study the current coupling between rectangular coils for use in biomedical telemetry links. Further, a new stability condition, different from the Courant-Friedrichs-Lewy stability limit, was derived for the thin-strut method. Results obtained for varying coil sizes and distances of separation show that the thin-strut FDTD formulation, applied to the calculation of current coupling between telemetry coils, is in closer agreement to the analytical approximation than is the standard FDTD code. These results indicate that the thin-strut method is a promising method for the study and the design of coils for telemetry links between implantable and external devices.}, number={8}, journal={IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES}, author={Schmidt, S and Lazzi, G}, year={2004}, month={Aug}, pages={1952–1956} }
 @article{schmidt_lazzi_2003, title={Extension and validation of a perfectly matched layer formulation for the unconditionally stable D-H FDTD method}, volume={13}, ISSN={["1558-1764"]}, DOI={10.1109/LMWC.2003.815693}, abstractNote={In this letter, a modification to the recently proposed unconditionally stable D-H ADI FDTD method is presented that considerably reduces the late-time error induced by the corner cells. The PML boundary is derived from the direct discretization of the modified D-H Maxwell's equations rather than the superposition of uniaxial PML boundaries. An optimal choice of the PML conductivity profile coefficients is proposed. Results show that the reflection error of the PML is limited for increased time step size beyond the Courant-Friedrichs-Lewy stability bound, and maximum reflection errors are 15 to 20 dB lower than the original formulation.}, number={8}, journal={IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS}, author={Schmidt, S and Lazzi, G}, year={2003}, month={Aug}, pages={345–347} }