Fast analysis of transient electromagnetic scattering phenomena using the multilevel plane wave time domain algorithm

Time-Dependent Lorentz-Mie-Debye Formulation for Electromagnetic Scattering From Dielectric Spheres (Invited Paper)

“…When analyzing multiple spheres, the spatial system would be fully coupled except the block corresponding to each interface. In this case, fast method like plane-wave time-domain [53] can be used to reduce the memory and time complexity.…”

A multilevel Cartesian non-uniform grid time domain algorithm

“…Like many related multilevel techniques [7], the ML_CNGTD algorithm leverages a divide and conquer approach to rapidly evaluate transient fields generated by known source constellations (in a manner consistent with the time-stepping requirements of marching on in time integral equation solvers).…”

“…The TL_NGTD algorithm uses spherical grids anchored to source constellation centers with decreasing radial density, commensurate with the decrease in local radial bandwidth of the compensated transient fields. The proposed ML_CNGTD scheme, in contrast, uses Cartesian grids generated using an extension of the adaptive multilevel domain decomposition procedure detailed in [7], and tuned to exploit, with near-optimality, decreases in radial bandwidth. The adoption of a…”

Analysis of Transient Electromagnetic Scattering Using Time Domain Fast Dipole Method

“…In the past decades, many fast algorithms have been presented to reduce the memory requirement and the computational complexity of the TDIE method. The two most famous schemes are the plane wave time domain (PWTD) algorithm [9][10][11] and time domain adaptive integral equation method (TD-AIM) [12,13]. The PWTD algorithm derives from the fast multipole method (FMM) [14,15].…”