Finite-Difference Complex-Frequency-Domain Method for Optical and Plasmonic Analyses

Reference Solutions for Time Domain Electromagnetic Solvers

“…The incident waveform is a modulated Gaussian pulse, which is generally used in time domain solvers. Because the Laplace transform of the Gaussian type of pulses cannot be defined, we derived the pseudo-Gaussian pulse [19]. The center wavelength of the modulated Gaussian pulse is 444 nm, which is the plasmon resonance wavelength.…”

“…The radius a of the cylinder is 100 nm, and the incident wave is assumed to be a plane wave. The waveform is a pseudo-Gaussian pulse [19],…”

Optimal Parallel Algorithm of Fast Inverse Laplace Transform for Electromagnetic Analysis

“…To perform an inverse Laplace transform, many numerical implementations have been proposed [6]. The fast inverse Laplace transform (FILT) is an easy and concise implementation [7] that has been successfully applied to practical EM analyses for plasmonic antennas [8], ground-penetrating radar [9], transmission lines [10], biological media [11], low-frequency issues, and problems related to DC components [12,13,14]. FILT can obtain the time-domain response independently at an arbitrary single time; therefore, it is convenient for performing parallel computations.…”

“…We recently developed a novel technique for conducting both time-and frequency-domain analyses; specifically, we combined FILT with the finite-difference complexfrequency-domain (FDCFD) method [12] for the near-field analysis of plasmonic objects. We also developed a time-division algorithm for the finite-difference time-domain (FDTD) technique [15].…”

“…This algorithm combines the FDTD [16], FDCFD, and FILT methods. It performs FDTD computations by using the initial condition of an EM field that is obtained using the FDCFD and FILT methods [12]. By substituting the FDCFD result at time t1 into the FDTD process, the time response in the period [t1 t2] can be computed without computing from t = 0 and sequentially updating the EM field.…”