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Efficient Solution Of Maxwells Equations Using The Nonuniform Orthogonal Finite Difference Time Domain Method
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Book Synopsis Efficient Solution of Maxwell's Equations Using the Nonuniform Orthogonal Finite Difference Time Domain Method by : John Allan Svigelj
Download or read book Efficient Solution of Maxwell's Equations Using the Nonuniform Orthogonal Finite Difference Time Domain Method written by John Allan Svigelj and published by . This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Difference Time Domain (FDTD) method is limited by memory requirements and computation time when applied to large problems, complicated geometries, or geometries with fine features. In this thesis, the nonuniform orthogonal FDTD method is presented and applied to a variety of electromagnetic problems. The nonuniform aspect of the method gives great flexibility in modeling complicated geometries with fine features. Furthermore, the variability of the mesh resolution also enables the user to move the boundaries of the computational domain farther away from the center of the problem without an undue increase in the number of cells. Most significantly, the orthogonality of the method preserves the speed of the conventional FDTD method. These three features of the nonuniform orthogonal FDTD method are demonstrated by means of numerical examples throughout the thesis. Grid dispersion error from the nonuniform mesh is analyzed and numerical examples are presented, demonstrating that small growth rates in mesh discretization lead to acceptably small errors. The issue of absorbing boundary conditions is addressed with the analysis and application of the dispersive boundary condition on nonuniform meshes. New techniques are also introduced for the efficient characterization of microstrip lines, microstrip discontinuities, and coupled microstrip structures using FDTD data. A local mesh refinement technique is introduced for planar perfect electric conductor, and is shown to be three times more accurate than the staircasing approximation. The versatility of the method is demonstrated by the analysis of a balun-fed folded dipole antenna, the characterization of the transition of grounded coplanar waveguide to microstrip line, and the study of fields in lossy layered media.
Book Synopsis Directions for the Next Generation of MMIC Devices and Systems by : Nirod K. Das
Download or read book Directions for the Next Generation of MMIC Devices and Systems written by Nirod K. Das and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 1996 WRI International Symposium held in New York City, September 11-13, 1996
Book Synopsis The Orthogonal Expansion in Time-Domain Method for Solving Maxwell Equations Using Paralleling-in-Order Scheme by : Zheng-Yu Huang
Download or read book The Orthogonal Expansion in Time-Domain Method for Solving Maxwell Equations Using Paralleling-in-Order Scheme written by Zheng-Yu Huang and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The orthogonal expansion in time-domain method is a new kind of unconditionally stable finite-difference time-domain (FDTD) method for solving the Maxwell equation efficiently. Generally, it can be implemented by two schemes: marching-on-in-order and paralleling-in-order, which, respectively, use weighted Laguerre polynomials and associated Hermite functions as temporal expansions and testing functions. This chapter summarized paralleling-in-order-based FDTD method using associated Hermite functions and Legendre polynomials. And a comparison from theoretical analysis to numerical examples is shown. The LD integral transfer matrix can be considered as a ,Äúdual,Äù transformation for AH differential matrix, which gives a possible way to find more potential orthogonal basis function to implement a paralleling-in-order scheme. In addition, the differences with these two orthogonal functions are also analyzed. From the numerical results, we can see their agreements in some general cases while differing in some cases such as shielding analysis with the long-time response requirement.
Book Synopsis Efficient Mesh Truncation Techniques for the Solution of Maxwell's Equations Using the Finite Difference Time Domain Method by : Jonathon Casimir Veihl
Download or read book Efficient Mesh Truncation Techniques for the Solution of Maxwell's Equations Using the Finite Difference Time Domain Method written by Jonathon Casimir Veihl and published by . This book was released on 1996 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of the Finite Difference Time Domain (FDTD) method to open region radiation problems requires the truncation of the infinite domain down to a finite-sized domain amenable to numerical simulation. The accuracy of the solution and the computational expense required to attain the solution are dependent on the method used to simulate the infinite domain. The Berenger perfectly matched layer (PML) technique is shown to offer the potential for near reflectionless absorption of propagating waves at the expense of additional layers of absorbing material with twice the number of unknowns as in the interior domain. However, since the PML allows the buffer region between the discontinuity and the termination plane to be reduced, the overall computation time for a given accuracy level may be significantly reduced. An efficient reduced field implementation of the Berenger perfectly matched layer concept is developed for regions where there is one nonzero conductivity component. The split-field components in the PML are reduced to the original six field components and two additional auxiliary variables that represent time-dependent sources. Combination of the reduced field formulation in the wall regions with the split formulation in the edges and corners results in an efficient PML algorithm. Memory and CPU time requirements may be reduced by up to one-third without loss of accuracy. The evanescent PML modification for the split-field PML is shown to apply to the unsplit formulation for a particular choice of the PML material parameters. A lossy modified PML formulation similar to the generalized PML is also presented. The modified PML formulation is applied to the analysis of inhomogeneous antenna structures. Numerical studies are performed to determine general PML parameter guidelines required for accurate calculation of far-field radiation patterns and input impedance. The PML is also applied to the problem of near-field characterization of antennas radiating in the presence of biological bodies.
Book Synopsis Characteristic Based Methods for the Time-domain Maxwell Equations by : J. S. Shang
Download or read book Characteristic Based Methods for the Time-domain Maxwell Equations written by J. S. Shang and published by . This book was released on 1993 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical procedures for solving the time-domain Maxwell equations based on the theory of characteristics were successfully developed. Both explicit and implicit methods were formulated by the time-central and spatial-windward algorithm to better describe wave motion. A new trapezoidal consistent implicit scheme was shown to be unconditionally stable for the linear initial value system and was able to generate numerical solutions comparable to those of the established explicit method. The formulation of the three-dimensional system including generalized coordinate system was completed but not explored. The present 2-D results on Cartesian frame demonstrated a potential for numerical efficiency improvement. Time-domain Maxwell equation, Trapezoidal consistent implicit scheme, Cartesian frame.
Download or read book Chinese Journal of Electronics written by and published by . This book was released on 2001 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A New Finite Difference Time Domain Method to Solve Maxwell’s Equations by :
Download or read book A New Finite Difference Time Domain Method to Solve Maxwell’s Equations written by and published by . This book was released on 2018 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have constructed a new finite-difference time-domain (FDTD) method in this project. Our new algorithm focuses on the most important and more challenging transverse electric (TE) case. In this case, the electric field is discontinuous across the interface between different dielectric media. We use an electric permittivity that stays as a constant in each medium, and magnetic permittivity that is constant in the whole domain. To handle the interface between different media, we introduce new effective permittivities that incorporates electromagnetic fields boundary conditions. That is, across the interface between two different media, the tangential component of the electric field and the normal component of the electric displacement are continuous. Meanwhile, the magnetic field stays as continuous in the whole domain. Our new algorithm is built based upon the integral version of the Maxwell's equations as well as the above continuity conditions. The theoretical analysis shows that the new algorithm can reach second-order convergence O(∆x2)with mesh size ∆x. The subsequent numerical results demonstrate this algorithm is very stable and its convergence order can reach very close to second order, considering accumulation of some unexpected numerical approximation and truncation errors. In fact, our algorithm has clearly demonstrated significant improvement over all related FDTD methods using effective permittivities reported in the literature. Therefore, our new algorithm turns out to be the most effective and stable FDTD method to solve Maxwell's equations involving multiple media.
Book Synopsis Electromagnetic Fields by : Jean G. Van Bladel
Download or read book Electromagnetic Fields written by Jean G. Van Bladel and published by John Wiley & Sons. This book was released on 2007-05-23 with total page 1171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Jean Van Bladel, an eminent researcher and educator in fundamental electromagnetic theory and its application in electrical engineering, has updated and expanded his definitive text and reference on electromagnetic fields to twice its original content. This new edition incorporates the latest methods, theory, formulations, and applications that relate to today's technologies. With an emphasis on basic principles and a focus on electromagnetic formulation and analysis, Electromagnetic Fields, Second Edition includes detailed discussions of electrostatic fields, potential theory, propagation in waveguides and unbounded space, scattering by obstacles, penetration through apertures, and field behavior at high and low frequencies.
Book Synopsis Development and Evaluation of Novel Finite-difference Time-domain Methods for Solving Maxwell's Equations by : Guilin Sun
Download or read book Development and Evaluation of Novel Finite-difference Time-domain Methods for Solving Maxwell's Equations written by Guilin Sun and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Polynomials written by Cheon Seoung Ryoo and published by BoD – Books on Demand. This book was released on 2019-05-02 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2004 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Investigation of a Finite-difference Time-domain Method for Numerical Solution of Maxwell's Equations Using Unstructured Grids by : Haresh R. Sangani
Download or read book An Investigation of a Finite-difference Time-domain Method for Numerical Solution of Maxwell's Equations Using Unstructured Grids written by Haresh R. Sangani and published by . This book was released on 1994 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optical Engineering written by and published by . This book was released on 2001 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers reporting on research and development in optical science and engineering and the practical applications of known optical science, engineering, and technology.
Book Synopsis Time Domain Finite Difference Computation for Maxwell's Equations by : Jiayuan Fang
Download or read book Time Domain Finite Difference Computation for Maxwell's Equations written by Jiayuan Fang and published by . This book was released on 1989 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics by : Stephen D. Gedney
Download or read book Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics written by Stephen D. Gedney and published by Morgan & Claypool Publishers. This book was released on 2011 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The book provides all the background required to either research or apply the FDTD method for the solution of Maxwell's equations to practical problems in engineering and science.
Book Synopsis Development of a Finite-difference Time-domain Solver for Maxwell's Equations with Application to Radar Signature Prediction by : Hoang Vinh
Download or read book Development of a Finite-difference Time-domain Solver for Maxwell's Equations with Application to Radar Signature Prediction written by Hoang Vinh and published by . This book was released on 1994 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Time Domain Simulation of Maxwell's Equations by the Method of Characteristics by : Neven Orhanović
Download or read book Time Domain Simulation of Maxwell's Equations by the Method of Characteristics written by Neven Orhanović and published by . This book was released on 1993 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical method based on the the method of characteristics for hyperbolic systems of partial differential equations in four independent variables is developed and used for solving time domain Maxwell's equations. The method uses the characteristic hypersurfaces and the characteristic conditions to derive a set of independent equations relating the electric and magnetic field components on these hypersurfaces. A discretization scheme is developed to solve for the unknown field components at each time step. The method retains many of the good features of the original method of characteristics for hyperbolic systems in two independent variables, such as optimal time step, good behavior near data discontinuities and the ability to treat general boundary conditions. The method is exemplified by calculating the time domain response of a few typical planar interconnect structures to Gaussian and unit step excitations. Although the general emphasis is on interconnect problems, the method is applicable to a number of other transient electromagnetic field problems governed by Maxwell's equations. In addition to the method of characteristics a finite difference scheme, known in mathematic circles as the modified Richtmyer scheme, is applied to the time domain solution of Maxwell's equations. Both methods should be useful for efficient full wave analysis of three dimensional electromagnetic field problems.
