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The Application of Symplectic Schemes in the Electromagnetic Wave Computations

Author: YuanLiGe
Tutor: YangHongWei
School: Nanjing Agricultural College
Course: Biophysics
Keywords: Symplectic algorithm Hamilton system Sim time domain finite difference method Electromagnetic wave scattering Maxwell equations
CLC: O441.4
Type: Master's thesis
Year: 2008
Downloads: 91
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Abstract


In recent years, with the rapid development of computer performance and computational mathematics , computing the emergence of a variety of new physics algorithms , computational electromagnetics field showing unprecedented prosperity and endless variety of electromagnetic field numerical methods . However, these methods face the difficulty of computing time , storage space and calculation accuracy , aware pursuit algorithm precision and with the people - depth understanding of the physical nature of the problem , should also strive to maintain the inherent nature of the original system . Electromagnetic field equations can be transformed into an infinite dimensional Hamiltonian system , the Hamilton system has a number of inherent nature to maintain its inherent nature , and thus in the solution of the the Hamilton system 's value , it is particularly important . The Sim algorithm is just a new numerical method to maintain the inherent nature of the Hamilton system , the algorithm in a long numerical calculation , with a common numerical methods unparalleled computational advantages . Symplectic algorithm is introduced into the electromagnetic calculations , the symplectic algorithm electromagnetic calculations , the specific work done : Introduction to the mathematical theory of symplectic algorithm on the basis of the Runge-Kutta method to construct a symplectic Runge-Kutta law; constructs symplectic algorithm applied to the one-dimensional time-domain Maxwell equations simulation results show that the symplectic algorithm with the analytical solution consistent with the better description the symplectic algorithm suitable structure used in electromagnetic waves ; the initial constructs Sim algorithm use 2D TM wave , electromagnetic wave from the front-illuminated eyes simulation analysis to obtain a good simulation effect diagram verified Sim effectiveness of the algorithm .

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CLC: > Mathematical sciences and chemical > Physics > Electromagnetics,electrodynamics > Electricity and Magnetism > Electromagnetic waves and electromagnetic fields
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