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Efficient Solution of Maxwell's Equations Using the Nonuniform Orthogonal Finite Difference Time Domain Method

1995
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Release : 1995
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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. This book was released on 1995. 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.

Directions for the Next Generation of MMIC Devices and Systems

2013-11-11 Technology & Engineering
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Release : 2013-11-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 803/5 ( reviews)

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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. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 1996 WRI International Symposium held in New York City, September 11-13, 1996

The Orthogonal Expansion in Time-Domain Method for Solving Maxwell Equations Using Paralleling-in-Order Scheme

2020 Electronic books
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Release : 2020
Genre : Electronic books
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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. This book was released on 2020. 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.

Efficient Mesh Truncation Techniques for the Solution of Maxwell's Equations Using the Finite Difference Time Domain Method

1996
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Release : 1996
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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. This book was released on 1996. 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.

Characteristic Based Methods for the Time-domain Maxwell Equations

1993 Maxwell equations
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Release : 1993
Genre : Maxwell equations
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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. This book was released on 1993. 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.

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