Numerical Techniques in Electromagnetics is designed to show the reader how to pose, numerically analyze, and solve electromagnetic (EM) problems. It gives them the ability to expand their problem-solving skills using a variety of available numerical methods. Topics covered include fundamental concepts in EM; numerical methods; finite difference methods; variational methods, including moment methods and finite element methods; transmission-line matrix or modeling (TLM); and Monte Carlo methods. The simplicity of presentation of topics throughout the book makes this an ideal text for teaching or self-study by senior undergraduates, graduate students, and practicing engineers.

Numerical Techniques in Electromagnetics, Second Edition

We developed a general numerical method to calculate the spontaneous emission lifetime in an arbitrary microcavity, using a finite-difference time-domain algorithm. For structures with rotational symmetry we also developed a more efficient but less general algorithm. To simulate an open radiation problem, we use absorbing boundaries to truncate the computational domain. The accuracy of this method is limited only by numerical error and finite reflection at the absorbing boundaries. We compare our result with cases that can be solved analytically and find excellent agreement. Finally, we apply the method to calculate the spontaneous emission lifetime in a slab waveguide and in a dielectric microdisk, respectively.

/pdf/finite-difference-time-domain-calculation-of-spontaneous-b7355q7ey2.pdf

Finite-difference time-domain calculation of spontaneous emission lifetime in a microcavity

We formulate and apply an efficient finite-difference time-domain algorithm to the analysis of axially symmetric diffractive optical elements. We discuss aspects relating to minimizing numerical dispersion in the incident field, application of absorbing boundary conditions in the radial direction, convergence to a steady state, and propagation of the steady-state electromagnetic fields from the finite-difference time-domain region to the plane of interest. Incorporation of these aspects into a single finite-difference time-domain algorithm results in an extremely efficient and robust method for diffractive optical element analysis. Application to the analysis of subwavelength and multilevel lenses, both with and without loss, for focusing planar and Gaussian beams is presented.

Formulation and application of the finite-difference time-domain method for the analysis of axially symmetric diffractive optical elements

Exploit the naturally parallel properties of the Finite Difference Time Domain (FDTD) algorithm to improve existing Time Domain Field Solvers, and to efficiently address more complex and large problem sets with this cutting-edge reference. The book shows you how to apply MPI and MPICH to develop a parallel FDTD code, and to assemble the hardware to run it in parallel. In addition to introducing the basic concepts of the MPI library, parallel data structures, and parallel architectures, this practical resource gives you detailed guidance on implementing parallel FDTD using parallel data-exchanging code. You learn how to interconnect PCs in a cluster to efficiently execute FDTD in parallel. The book provides you with hands-on examples using large finite antenna arrays that illustrate the power of parallel FDTD. You also find practical strategies for carrying out parallel FDTD and learn about the BOR/FDTD technique and its parallel implementation. The book concludes with instructions on downloading, installing, and setting up the MPI library on both Windows and Linux systems, as well as a handy tutorial on MPI data types, operators, and functions in FORTRAN and C.

Parallel Finite-Difference Time-Domain Method

We compute the radiative decay rate and the quantum efficiency for an emitter coupled to gold nanorods and nanospheroids using the body-of-revolution finite-difference time-domain method. We study these quantities as a function of the nanoparticle aspect ratio and volume, showing that large enhancements can be achieved with realistic parameters. Moreover, we find that nanospheroids exhibit better performances than nanorods for applications in the visible and near-infrared spectral range.

http://iopscience.iop.org/article/10.1088/1367-2630/10/10/105015/pdf

Gold nanorods and nanospheroids for enhancing spontaneous emission

In this paper, an efficient finite-difference time-domain algorithm (FDTD) is presented for solving Maxwell's equations with rotationally symmetric geometries. The azimuthal symmetry enables us to employ a two-dimensional (2-D) difference lattice by projecting the three-dimensional (3-D) Yee-cell in cylindrical coordinates (r, /spl phi/, z) onto the r-z plane. Extensive numerical results have been derived for various cavity structures and these results have been compared with those available in the literature. Excellent agreement has been observed for all of the cases investigated.

Finite-difference time-domain algorithm for solving Maxwell's equations in rotationally symmetric geometries

Accurate numerical simulations are needed for analyzing and developing better electrical interconnects and electromagnetic compatibility (EMC) measurement systems. Numerical simulations enable one to predict the field behavior and compute the voltages, currents, impedances and other parameters of interest for a given structure such as cable shielding. A numerical simulation is used to analyze measured data from a cable radiation study. The finite difference time domain (FDTD) and the method of moments based Numerical Electromagnetics Code (NEC) are used to compute the total radiated power from the cable, and the results are shown to be in agreement with measured data. A numerical study is carried out to demonstrate the usefulness of the method at aiding the design of a measurement system without much additional experimental work.

Simulating measurements for a cable radiation study

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Finite-difference time-domain algorithm for solving Maxwell's equations in rotationally symmetric geometries

Simulating measurements for a cable radiation study