Looking for breakthrough ideas for innovation challenges? Try Patsnap Eureka!

Two-dimensional Debye medium and Lorentz medium truncation Crank-Nicolson perfectly matched layer implementation algorithm

A technology of fully matching layers and media, applied in computing, special data processing applications, instruments, etc., can solve problems such as large algorithm errors, low algorithm calculation accuracy, and increased numerical dispersion, so as to optimize the calculation process and reduce calculation complexity , the effect of improving the calculation speed

Inactive Publication Date: 2016-07-13
TIANJIN POLYTECHNIC UNIV
View PDF2 Cites 1 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0006] Although the ADI-FDTD algorithm and the LOD-FDTD algorithm have overcome the limitation of stability conditions to a certain extent, the calculation accuracy of the algorithm is too low and the performance is not ideal. The reason is that when the time step increases, the numerical value The dispersion increases, which leads to a larger error in the algorithm

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Two-dimensional Debye medium and Lorentz medium truncation Crank-Nicolson perfectly matched layer implementation algorithm
  • Two-dimensional Debye medium and Lorentz medium truncation Crank-Nicolson perfectly matched layer implementation algorithm
  • Two-dimensional Debye medium and Lorentz medium truncation Crank-Nicolson perfectly matched layer implementation algorithm

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0022] The gist of the present invention is to propose a truncated two-dimensional Debye medium and Lorentz medium Crank-Nicolson complete matching layer realization algorithm, using CNAD algorithm and auxiliary differential equation method to reduce the amount of calculation, thereby increasing the calculation speed of electromagnetic field.

[0023] The embodiments of the present invention will be further described in detail below in conjunction with the accompanying drawings.

[0024] figure 1 It is a flowchart of the present invention, and the specific implementation steps are as follows:

[0025] Step 1: Correct the Maxwell equation of the two-dimensional TE mode in the frequency domain to the Maxwell equation with stretching coordinate operator, and express the revised Maxwell equation in the frequency domain in the Cartesian coordinate system; for the dispersion medium item, use The auxiliary differential equation method is used to set auxiliary variables; the propagat...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention relates to a two-dimensional Debye medium and Lorentz medium truncation Crank-Nicolson perfectly matched layer implementation algorithm, and belongs to the technical field of numerical simulation.The method aims at reducing a two-dimensional dispersive medium FDTD calculation domain and simulating limited memory space of a computer into infinite space.The method is technically characterized in that in the process of transforming a two-dimensional corrected Maxwell equation with multiple tension coordinate variables into finite difference time domain from a frequency domain, an auxiliary differential equation method and a Crank-Nicolson-Approximate-Decoupling (CNAD) algorithm are utilized, two tridiagonal matrix equations related to an electric field are obtained, and thus the calculation efficiency is obviously improved.The method has the advantages that unconditional stability is achieved, and the electromagnetic field calculation speed is increased.

Description

technical field [0001] The invention relates to the technical field of numerical simulation, in particular to a realization algorithm of a Crank-Nicolson complete matching layer of a truncated two-dimensional Debye medium and a Lorentz medium. Background technique [0002] Finite Difference Time Domain (FDTD), as a computational electromagnetic method, is widely used in various time-domain electromagnetic simulation calculations, such as antennas, radio frequency circuits, optical devices and semiconductors. FDTD has the characteristics of wide applicability, suitable for parallel computing, and universality of computing programs. [0003] However, with the deepening of scientific research and the needs of more and more extensive applications, the defect that the algorithm itself is limited by the numerical stability conditions of Courant Friedrichs Lewy (CFL) becomes more and more obvious. The algorithm itself is limited by numerical stability conditions: the time step and...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 李建雄陈明省刘鹏雪蒋昊林韩晓迪
Owner TIANJIN POLYTECHNIC UNIV
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Patsnap Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Patsnap Eureka Blog
Learn More
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com