Dissertation > Excellent graduate degree dissertation topics show

The Application of Symplectic Schemes in the Time-domain Electromagnetics Scattering Computations

Author: HuangZhiXiang
Tutor: WuXianLiang
School: Anhui University
Course: Electromagnetic Field and Microwave Technology
Keywords: Symplectic Scheme Symplectic Partitioned Runge-Kutta(PRK) Symplectic Propagation Techniques Symplectic Finite-Difference Time-Domain Stability and Numerical Dispersion
CLC: TN011
Type: PhD thesis
Year: 2007
Downloads: 439
Quote: 1
Read: Download Dissertation


The computational electromagnetics have been developed rapidly with the emergence of new schemes in numerical mathematics and physics in recent years. Various numerical methods for electromagnetics simulations are proposed, but these methods have difficulties in the aspect of simulations time, required memory and accuracy. In additional, with the depth of the knowledge of the physical characters of the problems, people realized that it is also important to keep some features of the original system while pursuing the high accuracy of the schemes. Since the electromagnetics field equations can be rewritten as an infinite dimensional Hamiltonian system, which has some insight characters, the proper solution should be obtained using symplectic schemes. The symplectic schemes have the ability to preserve the global symplectic structure of the phase space for a Hamiltonian system. They have substantial benefits in numerical computation for Hamiltonian system, especially in long-term simulations. The dissertation introduced symplectic schemes for electromagnetics simulations, mainly focus on the application of the schemes in time-domain computation.The main studies are as follows:(1).Introduced the mathematics theories foundation of the symplectic schemes, include the commonly established methods for construction symplectic schemes, which are symplectic Runge- Kutta method, symplectic propagation techniques and generating function method. A minimization of the truncation error-function and optimal Courant-Friedrichs-Levy (CFL) number schemes are well established using sympletic propagation techniques.(2).The symplectic schemes for two-dimensional electromagnetics scattering problems are well established, including the schemes for separable Hamiltonian system using symplectic propagation techniques, the symplectic partitioned Runge-Kutta(PRK) schemes for non-separable Hamiltonian system for the first time. The stability and numerical dispersion were analyzed; numerical results show the efficiency of the schemes.(3).The symplectic finite-difference time-domain (SFDTD) schemes were introduced in numerical solution of three-dimensional electromagnetics. The stability and numerical dispersion for SFDTD schemes were analyzed for the first time. Numerical results show SFDTD schemes are superior to standard FDTD and high order FDTD. Especially, the introduction of the high order SFDTD schemes provides a new way for solution of three-dimensional electric largely objects scattering problems.(4).The total field and scattered field (TF-SF) technique is derived for the SFDTD method to provide the incident wave source conditions, the absorbing boundary conditions (ABC) and the improved high order perfectly matched layers (PML) ABC, the high order near field-far field transform, are all well established. All those provided the necessary techniques for three-dimensional electric largely objects scattering computations.(5).The symplectic schemes are applied to the time-domain simulation of benchmark objects scattering problems. The stability and accuracy are compared with the commonly used methods such as FDTD and high order FDTD. The results further confirmed the accuracy and efficiently of the symplectic schemes.

Related Dissertations

  1. Symplectic and Multisymplectic Structure-Preserving Numerical Schemes for Evolution Equation,O241.82
  2. Symmetric regularized long wave equation symplectic algorithm,O241
  3. Perfectly Matched Layer Methods for Solving Electromagnetic Equations and Multi-symplectic Methods for Hamiltonian PDEs Systems,O441
  4. New Study Methodology of Finite-Difference Time-Domain and Performance Optimization for Interconnects in High Speed Integrated Circuits,TN402
  5. Multisymplectic Schemes for the 2+1 Dimensional Soliton Equations,O175.2
  6. A Study on Scattering from Target and Rough Surface by Using FDTD Method,TN011
  7. Researches on Mechanism of SLF and ELF Wave Propagation in an Anisotropic Earth-Ionosphere Cavity,TN011.2
  8. Numeric Analysis Application of Periodic Structure Based on IE-MoM Method,TN011
  9. The Electromagnetic Propagation Models and Duct Parameters Inversion Algorithm Research of Marine Atmospheric Duct,TN011
  10. Research on Cavity Shielding Effectiveness Using Hybrid FDTD Method,TN011
  11. Research on the Coherent Detection System for the Carrier Frequency Measurement Based on the Acousto-optic Effect,TN011
  12. Research on Far-Field Emi Emission of a Flyback Power Supply Using FDTD Method,TN011
  13. The Research of Three-dimensional FDTD Parallel Algorithm Based on MPI and OpenMP,TN011
  14. Based on the two-dimensional metamaterial FDTD simulation and design of electromagnetic devices,TN011
  15. The Study of Key Technology for Fast Calculation of Wide-band RCS for Electrically Large Conductor Target,TN011
  16. Research on Characteristic of Radio Waves Propagation in Deep Space Communication,TN011.7
  17. In cylindrical coordinate system of the finite difference time domain method analysis curved edge waveguide problem,TN011
  18. Filled with a non - uniform grid FDTD method for analyzing media transmission characteristics of the waveguide and microstrip line,TN011
  19. Research on Application of FDTD in Naval Vessels’ RCS,TN011
  20. Study of FDTD Algorithm for Thin Dispersive Media Layers and Related Issues,TN011
  21. High-frequency electromagnetic scattering algorithm Calculation,TN011

CLC: > Industrial Technology > Radio electronics, telecommunications technology > General issues > Basic theory > Radio wave propagation,the propagation mechanism
© 2012 www.DissertationTopic.Net  Mobile