4 Finite Difference Frequency Domain 7 4.1 Forcing Term Expressed as Deviation from a Background . . . . . . . . . . . . . . . 7 4.2 Setting up FDFD Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.3 Electric Field FDFD Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.4 Magnetic Field FDFD Equation . . . . . . . . . . . . . . . . . . . . . . ...

The finite-difference frequency-domain (FDFD) method is a very simple and powerful approach for rigorous analysis of electromagnetic structures. It may be the simplest of all methods to implement and is excellent for field visualization and for developing new ways to model devices. This paper describes a simple method for incorporating anisotropic materials with arbitrary tensors for both permi...

This paper presents a graphics processing based implementation of the Finite-Difference Frequency-Domain (FDFD) method, which uses a central finite differencing scheme for solving Maxwell’s equations for electromagnetics. The radar cross section for different structures in 2D and 3D has been calculated using the FDFD method. The FDFD code has been implemented for the CPU calculations and the sa...

Recently developed multiresolution frequency domain (MRFD) technique is applied to two-dimensional electromagnetic scattering problems. Scattered field formulation and perfectly matched layer is implemented into the MRFD formulation. Far field distributions of dielectric and perfectly electric conductor (PEC) bodies are calculated and bistatic echo widths of these structures are presented. Good...

Frequency-domain finite-difference (FDFD) modeling offers several advantages over traditional timedomain methods when simulating seismic wave propagation, including a convenient formulation within the context of wavefield inversion and a straight-forward extension for adding complex attenuation mechanisms. In this short paper we introduce the FDFD method, develop a simple solver for the scalar ...

Abstract—A multiresolution frequency domain (MRFD) analysis similar to the finite difference frequency domain (FDFD) method is presented. This new method is derived by the application of MoM to frequency domain Maxwell’s equations while expanding the fields in terms of biorthogonal scaling functions. The dispersion characteristics of waveguiding structures are analyzed in order to demonstrate t...

Recently, many numerical methods that are developed for the solution of electromagnetic problems have greatly benefited from the hardware accelerated scientific computing capability provided by graphics processing units (GPUs) and orders of magnitude speed-up factors have been reported. Among these methods, the finite-difference frequency-domain (FDFD) method as well can be accelerated substant...

The finite-difference frequency-domain (FDFD) method is a conceptually simple method to solve time-dependent dišerential equations for steady-state solutions. In solving Maxwell’s equations in three-dimensional (3D) space, however, the FDFD method has not been a popular method due to the slow convergence of iterative methods of solving a large system of linear equations Ax = b constructed by th...

The total-field/scattered-field (TF/SF) formulation is a popular technique for incorporating sources into electromagnetic models like the finite-difference frequency-domain (FDFD) method. It is versatile and simplifies calculation of waves scattered from a device. In the context of FDFD, the TF/SF formulation involves modifying all of the finite-difference equations that contain field terms fro...

We show that the space mapping algorithm, originally developed for microwave circuit optimization, can enable the efficient design of nanoplasmonic waveguide devices which satisfy a set of desired specifications. Space mapping utilizes a physics-based coarse model to approximate a fine model accurately describing a device. Here the fine model is a full-wave finite-difference frequency-domain (F...