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One-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm based on bilinear transformation

A technology of bilinear transformation and perfect matching layer, applied in the field of one-dimensional vacuum Crank-Nicolson perfect matching layer implementation algorithm, can solve the problems of increased numerical dispersion, large algorithm error, and low algorithm calculation accuracy.

Inactive Publication Date: 2015-02-25
TIANJIN POLYTECHNIC UNIV
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Problems solved by technology

[0004] 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

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  • One-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm based on bilinear transformation
  • One-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm based on bilinear transformation
  • One-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm based on bilinear transformation

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[0068] In order to make the object, technical solution and advantages of the present invention clearer, the implementation manner of the present invention will be further described in detail below in conjunction with the accompanying drawings.

[0069] Step 1: If figure 1 , write a program in FORTRAN language according to the algorithm flow chart, and give a specific calculation example in the program, set the electromagnetic parameters of the calculation space model, including the size of the calculation area: L+2×N, where L is the vacuum length (unit: cell), N is the thickness of the perfectly matching layer (unit: cell); the space step Δx; the time step is in is the time step of traditional FDTD, and CFLN is the multiple of the time step of CN-FDTD relative to the time step of traditional FDTD.

[0070] Step 2: If figure 2 , set the position and type of the excitation source according to the space model diagram. In this embodiment, the differential Gaussian pulse is u...

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Abstract

The invention provides a one-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm based on bilinear transformation, and belongs to the technical field of numerical simulation. The method aims at stimulating limited memory space of a computer to be unlimited space. The one-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm is technological characterized in that plural stretched coordinate variables are converted from the frequency domain to the z domain through the bilinear transformation method, then the Crank-Nicolson time domain finite difference method is utilized for carrying out dispersion on the maxwell equation in the time domain, an explicit iteration equation of an electric field is deduced, and finally the value of the electromagnetic field component is obtained. The one-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm has the advantages of having unconditional stability, improving the electromagnetic field calculation speed and saving memory.

Description

technical field [0001] The invention relates to the technical field of numerical simulation, in particular to a one-dimensional vacuum Crank-Nicolson complete matching layer realization algorithm based on bilinear transformation. Background technique [0002] In recent years, the finite-difference time-domain method (FDTD), as a computational electromagnetic method, has been 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 widely used applications, the defect that the algorithm itself is limited by the numerical stability conditions of Courant Friedrichs Lewy (CFL) has become more and more prominent. The algorithm itself is limited by numerical stability c...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14
Inventor 李建雄于洋史伟光
Owner TIANJIN POLYTECHNIC UNIV
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