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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.

Characteristic Based Methods for the Time-Domain Maxwell Equations

1993
Download Characteristic Based Methods for the Time-Domain Maxwell Equations PDF Online Free

Author :
Release : 1993
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Characteristic Based Methods for the Time-Domain Maxwell Equations by :

Download or read book Characteristic Based Methods for the Time-Domain Maxwell Equations written by . 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.

Time Domain Simulation of Maxwell's Equations by the Method of Characteristics

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

An implicit characteristic based method for electromagnetics

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Book Synopsis An implicit characteristic based method for electromagnetics by :

Download or read book An implicit characteristic based method for electromagnetics written by . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

An Implicit Characteristic Based Method for Electromagnetics

2001 Computer algorithms
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Release : 2001
Genre : Computer algorithms
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Book Synopsis An Implicit Characteristic Based Method for Electromagnetics by : John H. Beggs

Download or read book An Implicit Characteristic Based Method for Electromagnetics written by John H. Beggs. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: An implicit characteristic-based approach for numerical solution of Maxwell's time-dependent curl equations in flux conservative form is introduced. This method combines a characteristic based finite difference spatial approximation with an implicit lower-upper approximate factorization (LU/AF) time integration scheme. This approach is advantageous for three-dimensional applications. Results are given both for a Fourier analysis of stability, damping and dispersion properties, and for one-dimensional model problems involving propagation and scattering for free space and dielectric materials using both u iform and nonuniform grids. The explicit FDTD algorithm is used as a convenient reference algorithm for comparison.

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