Analysis and improvement of the numerical properties of the FDTD algorithm by Andreas Christ

Cover of: Analysis and improvement of the numerical properties of the FDTD algorithm | Andreas Christ

Published by Hartung-Gorre in Konstanz .

Written in English

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  • Electromagnetism -- Computer simulation,
  • Maxwell equations -- Data processing,
  • Finite differences,
  • Time-domain analysis,
  • Mobile communication systems -- Mathematical models

Edition Notes

Book details

StatementAndreas Christ.
SeriesSeries in microelectronics -- v. 160
LC ClassificationsQC760 .C54 2005
The Physical Object
Paginationxv, 217 p. :
Number of Pages217
ID Numbers
Open LibraryOL22695022M
ISBN 103896499254
LC Control Number2006483067

Download Analysis and improvement of the numerical properties of the FDTD algorithm

A new FDTD/PBC-based algorithm is introduced to analyze general skewed grid periodic structures while another algorithm is developed to analyze dispersive periodic structures. Moreover, the proposed algorithms are successfully integrated with the generalized scattering matrix (GSM) technique, identified as the hybrid FDTD-GSM algorithm, to Cited by: 4.

The aim of this book is to develop efficient computational algorithms to analyze the scattering properties of various electromagnetic periodic structures using the finite-difference time-domain periodic boundary condition (FDTD/PBC) method.

The finite-difference time-domain (FDTD) method [3] is seen as one of the most popular numerical technique especially due to its flexibility in handling material dispersion as well as arbitrary. Analysis and improvement of the numerical properties of the FDTD algorithm By Andreas Christ Topics: Mathematical Physics and MathematicsAuthor: Andreas Christ.

A. Taflove and K. Umashankar, "The Finite-Difference Time-Domain Method for Numerical Modeling of Electromagnetic Wave Interactions with Arbitrary Structures," Chap. 8 in Progress in Electromagnetics Research 2: Finite-Element and Finite-Difference Methods in Electromagnetic Scattering, M. In this paper, numerical dispersion properties of the three-dimensional complex envelope (CE) alternate-direction implicit finite-difference time-domain (ADI-FDTD) method are studied.

A comparison of the accuracy of several low-dispersion finite-difference time-domain (FDTD) schemes in two dimensions is presented. Each algorithm is reviewed and its FDTD update equations presented.

The finite-difference time-domain (FDTD) algorithm is a powerful, versatile tool for electromagnetic analysis. In this work, the stability of FDTD is analyzed regarding metamaterials and improved.

An analytical study of the stability properties and numerical dispersion of these schemes is presented. A novel finite-difference time-domain algorithm for modeling ultrawideband.

To overcome this shortcoming, people have been carrying out extensive research for the numerical dispersion of the FDTD method, and put forward some improvement methods.

Among them, the broadly accepted methods are the multiresolution time domain (MRTD) method and the symplectic finite difference time domain (SFDTD) method. Compared with the. Ground penetrating radar (GPR), as a kind of fast, effective, and nondestructive tool, has been widely applied to nondestructive testing of road quality.

The finite-difference time-domain method (FDTD) is the common numerical method studying the GPR wave propagation law in layered structure. However, the numerical accuracy and computational efficiency are not high because of the Courant.

Abstract. Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics provides a comprehensive tutorial of the most widely used method for solving Maxwell's equations -- the Finite Difference Time-Domain Method.

This book is an essential guide for students, researchers, and professional engineers who want to gain a fundamental knowledge of the FDTD method. This paper discusses numerical analysis methods for different geometrical features that have limited interval values for typically used sensor wavelengths.

Compared with existing Finite Difference Time Domain (FDTD) methods, the alternating direction implicit (ADI)-FDTD method reduces the number of sub-steps by a factor of two to three, which represents a 33% time savings in each single run.

Chapter 4: Improving the FDTD Code. The goal of this book is to enable you to write fast, efficient FDTD code in the C language.

The material in this chapter discusses a way to "modularize" the code using structures. (Although it isn’t necessarily pretty, the FDTD code in this book is much, much faster than Matlab-based code!) Chapter 4 contents. 12 hours ago  This book introduces the powerful Finite-Difference Time-Domain method to students and interested researchers and readers.

OXlearn is a free, platform-independent MATLAB toolbox in which standard connectionist neural network models can be set up, run, and analyzed by means of a user-friendly graphical interface. The book Analysis and improvement of the numerical properties of the FDTD algorithm book 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. The advent of supercomputers with hierarchical memory systems has imposed the use of block algorithms for the linear algebra algorithms.

Although block algorithms may. The book also presents conformal and dispersive FDTD modeling of electromagnetic cloaks, perfect lens, and plasmonic waveguides, as well as other novel antenna, microwave, and optical applications. Over illustrations support key topics throughout the book.

FDTD Considerations • Grid resolution affects • Geometry discretization • Frequency resolution • Numerical phase velocity • Accuracy • Simulation speed • Time step affects • Numerical stability • Simulation speed • Absorbing boundary conditions affects • Non-physical reflections from computational domain.

This model extends the method explained in the 1-D case, by exploiting the availability of the adjacent traces in typical B-scans.

The idea is to link the adjacent traces in the time domain from a B-scan data, as shown in Fig. 4, Fig. hypothesis of the improvement in the results is the ability of the PCA decomposition to generate adequate basis vectors for any situation.

Conclusions. In this paper, a general Newmark-FDTD algorithm is given to deal with the electromagnetic problems in dispersive medium. This new method combines the Newmark difference method which is widely used in FETD calculation in dispersive medium.

Theoretical analyses and numerical results demonstrate that this algorithm has advantages of higher accuracy and stability. A methodology of finite difference time domain analysis (FDTD) for the calculation of the polariton-enhanced near-field thermal radiation emission based on the local density of electromagnetic states (LDOS) is presented.

The geometry and the methodology are discussed, and the limitations and advantages of the FDTD method are explained.

A numerical method which can be used to solve a problem will be called an algorithm. An algorithm is a complete and unambiguous set of proce-dures leading to the solution of a mathematical problem.

The selection or construction of appropriate algorithms properly falls within the scope of numerical analysis. Time-Domain Method: FDTD in 1D Introduction The finite-difference time-domain (FDTD) method is arguably the simplest, both conceptually and in terms of implementation, of the full-wave techniques used to solve problems in electromagnet-ics.

It can accurately tackle a wide range of problems. However, as with all numerical methods, it. exposed to radiation. The main reason of the success of the FDTD method resides in the fact that the method itself is extremely simple, even for programming a three-dimensional code.

The technique was first proposed by K. Yee, and then improved by others in the early 70s. Theory The theory on the basis of the FDTD method is simple. Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals.

Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from Reviews: 8.

In this work, a compact finite-difference time-domain (FDTD) algorithm with a memory-reduced technique is proposed for the dispersion analysis of rectangular waveguides either fully or partially loaded with longitudinally-magnetized ferrite.

pdf,() 第 28卷 第 2期 延安大学学报 自然科学版 Vol. fdtd matlab code tks,but which one is. Among them, the finite-difference time-domain (FDTD) method has been established as a relatively simple, efficient and adequately accurate – in several instances – numerical tool.

Through extensive testing during the previous years, the FDTD algorithm has been proven to be especially suited for problems incorporating domains of small or. Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).Numerical analysis naturally finds application in all fields of engineering and the physical sciences, but in the 21st century also the life sciences, social sciences, medicine, business and.

This book presents the theory of adjoint sensitivity analysis for high frequency applications through time-domain electromagnetic simulations in MATLAB®. This theory enables the efficient estimation of the sensitivities of an arbitrary response with respect to all parameters in the considered problem.

These sensitivities are required in many applications including gradient-based optimization. @article{osti_, title = {Improvements of the two-dimensional FDTD method for the simulation of normal- and superconducting planar waveguides using time series analysis}, author = {Hofschen, S and Wolff, I}, abstractNote = {Time-domain simulation results of two-dimensional (2-D) planar waveguide finite-difference time-domain (FDTD) analysis are normally analyzed using Fourier transform.

The numerical algorithm described above is parallelized in the SPMD paradigm with the domain decomposition technique. The partitioning process is illustrated in Fig.

cell distribution is shown in Fig. 8 (a) and is partitioned for two processors, for example. These cells are distributed to each processor and the partitioning line is shown in the figure.

FDTD is a simulator within Lumerical’s DEVICE Multiphysics Simulation Suite, the world’s first multiphysics suite purpose-built for photonics designers. The DEVICE Suite enables designers to accurately model components where the complex interaction of optical, electronic, and thermal phenomena is critical to performance.

Finite-difference time-domain (FDTD) method and finite-difference frequency-domain (FDFD) method for solving Maxwell's equations.

good agreement to the FDFD ones which confirms the applicability of Eq. edu, [email protected] MININEC is a method of moments computer code for the analysis of thin wire antennas. FDTD algorithm for MATLAB with. Computational Analysis 5. Visualization.

MEB/2/GI 4 Adaptive Simulation Process 3 2 1. Build CAD Model 2. • Grid quality and improvement • Automation. MEB/2/GI 47 Grid generation techniques Lawson Algorithm •Locate triangle containing X •Subdivide triangle.

Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering.

T1 - Finite-Difference Time-Domain Methods. AU - Hagness, Susan C. AU - Taflove, Allen. AU - Gedney, Stephen D.

PY - /12/1. Y1 - /12/1. N2 - This chapter reviewed key elements of the theoretical foundation and numerical implementation of finite-difference time-domain (FDTD) solutions of Maxwell's equations. INTRODUCTION TO FINITE DIFFERENCE TIME DOMAIN METHOD Introduction In Kane Yee presented what we now refer to as the Finite-Difference Time-Domain (FDTD) [1] method for modeling electromagnetic phenomenon.

The Yee's algorithm, as it is usually called in the literature, is well known for its robustness and versatility. In this paper, the Lorentz-Drude model is incorporated into a three-dimensional (3D) finite difference time domain (FDTD) algorithm to characterize the gold film electrical properties at optical and IR wavelengths for the nano-scale IR dual-band FSS filter.

Fractal circular and square FSSs are studied and designed at near infrared and optical wavelengths. The algorithm is verified through numerical examples including frequency selective surface (FSS) with different periodicities.

Results showed good agreement with the results obtained from the FDTD simulation of the entire structure, while the new procedure provides significant saving in the computational time and storage memory.

Get this from a library! Adaptive mesh refinement for time-domain numerical electromagnetics. [Costas D Sarris] -- This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD.Introduction to Algorithms Lecture Notes.

This note concentrates on the design of algorithms and the rigorous analysis of their efficiency. Topics covered includes: the basic definitions of algorithmic complexity, basic tools such as dynamic programming, sorting, searching, and selection; advanced data structures and their applications, graph algorithms and searching techniques such as minimum.

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