Fast inverse Laplace transform (FILT) is a simple and concise technique for performing inverse Laplace transforms. This study develops an efficient parallel algorithm for FILT for solving various electromagnetic problems. This algorithm can be easily combined with existing computational methods used in electromagnetics to realize efficient time-and frequency-domain analyses.
In this study, a highly precise time domain solution of electromagnetic fields for a canonical structure is derived. Our reference solution is extremely useful for researchers, engineers, and developers to evaluate the accuracy of their computational results using commercial software or their self-developed codes. Rigorous solutions of a cylinder or sphere, which consists of a homogeneous medium, are derived in the complex frequency domain; they are numerically transformed into the time domain using fast inversion of Laplace transform. In addition, the field distribution at the desired specific observation time can be easily obtained. Furthermore, the numerical accuracy of the computational electromagnetic solvers is evaluated. INDEX TERMS Reference solutions, time domain solver, fast inverse Laplace transform, finite-difference time-domain, nonlocal effects.
Abstract-In this paper, we investigate electromagnetic problems for nanoscale antennas by using a boundary integral equation method with fast inverse Laplace transform. The antennas are designed for realizing ultra-fast and high-density magnetic recording. Characteristics of nanoscale antennas are discussed in terms of eigenmodes and time domain responses of electric fields. Our computational method is highly efficient and the computational cost can be reduced by selecting coarse time-step size and performing parallel computation.
A novel computational technique is proposed for heat conduction analysis. The heat transfer equation is expanded in the complex frequency domain and solved using the finite difference method (FDM). The results in the complex frequency domain are transformed into the time domain via fast inverse Laplace transform. In the proposed approach, the instantaneous temperature at a specific time can be easily obtained. Moreover, the computation time for the conventional explicit FDM is reduced by employing the time-division parallel computing method.
The transient analysis of electromagnetic problems is important in the designing of plasmonic devices. It is useful for clarifying physical phenomena with extremely short timescales, because transient response affects the device performance. A timedomain computational technique is proposed for the transient analysis of electromagnetic problems with nanostructures. Our method is based on boundary integral equations in the complex frequency domain and fast inverse Laplace transforms. The advantage of our method is that the objects can be modeled by surface structure, dispersive media can be easily considered, computational error analysis is simple, and the electromagnetic field at the desired observation time can be obtained.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.