2004/10/28 by A. G. Borisov, Borisov, Andrei G., Sergei V. Shabanov +1
Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Magneto-Optical Properties and Applications #Numerical Analysis (math.NA) #Optics (physics.optics)
paper · pdf · doi:10.48550/arxiv.physics/0410270
openalex publication_date 2004/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Maxwell's equations are cast in the form of the Schrödinger equation. The Lanczos propagation method is used in combination with the fast Fourier pseudospectral method to solve the initial value problem. As a result, a time-domain, unconditionally stable, and highly efficient numerical algorithm is obtained for the propagation and scattering of broad-band electromagnetic pulses in dispersive and absorbing media. As compared to conventional finite-difference time-domain methods, an important advantage of the proposed algorithm is a dynamical control of accuracy: Variable time steps or variable computational costs per time step with error control are possible. The method is illustrated with numerical simulations of extraordinary transmission and reflection in metal and dielectric gratings with rectangular and cylindrical geometry.