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A Fast Method for Integral Equations in Time Domain Based on Taylor Series Expansion

A technology of Taylor series and time-domain integration, which is applied in the direction of complex mathematical operations, can solve problems such as poor adaptability, complex PWTD algorithm, and difficult implementation, and achieve high applicability

Active Publication Date: 2019-05-07
NANJING UNIV OF SCI & TECH
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Problems solved by technology

For the 3D target model, the calculation amount and storage amount of TD-AIM are respectively and It can be seen that its efficiency in dealing with three-dimensional objects is low
The principle of the PWTD algorithm is similar to the FMM algorithm, but because of the existence of time variables, the PWTD algorithm is more complicated and more difficult to implement
Moreover, the adaptability of the algorithm is poor. When it is used to solve complex problems such as media or lossy media, special modifications to the algorithm are required.

Method used

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  • A Fast Method for Integral Equations in Time Domain Based on Taylor Series Expansion
  • A Fast Method for Integral Equations in Time Domain Based on Taylor Series Expansion
  • A Fast Method for Integral Equations in Time Domain Based on Taylor Series Expansion

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Embodiment Construction

[0017] The present invention will be described in further detail below in conjunction with the accompanying drawings.

[0018] A kind of fast algorithm of time domain integral equation based on Taylor series expansion of the present invention, the steps are as follows:

[0019] The first step is to establish the integral equation of electromagnetic field in time domain.

[0020] Metal target in the incident electromagnetic wave {E inc (r,t),H inc Under the action of (r,t)}, a surface induced surface current J(r,t) will be generated on the surface of the metal scatterer. The continuous change of the induced current will radiate an electromagnetic field outward. The electromagnetic field generated by the induced current is scattered field {E sca (r,t),H sca (r,t)}, using the boundary conditions of the incident electromagnetic field and scattered electromagnetic field on the metal surface to establish the time-domain electromagnetic field integral equation.

[0021]

[00...

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Abstract

The invention discloses a fast algorithm of a time domain integral equation based on Taylor series expansion. The traditional time domain integral equation method cannot solve the problem of large-scale electromagnetism due to the limitation of computation time and memory consumption. Developing the fast algorithm is the inevitable course to solve practical engineering problems. The fast algorithm reconstructs aggregation, transfer and configuration forms through Taylor series expansion of a Green function in free space, so as to further realize the accelerated computing of matrix-vector multiplication, and needs less computation memory and computation time for solving the problem of metal complex target scattering. Programming is relatively simple and easy to realize, and the fast algorithm has high practical engineering application value.

Description

technical field [0001] The invention relates to a numerical calculation technology of transient electromagnetic scattering characteristics of a metal target, belongs to the technical field of rapid calculation of electromagnetic scattering characteristics of a target, and specifically relates to a fast algorithm of time-domain integral equations based on Taylor series expansion. Background technique [0002] With the deepening of research in the field of computational electromagnetics, the traditional frequency domain methods can no longer meet the needs. Taking the development of computer hardware technology as an opportunity, people gradually have the ability to calculate and analyze transient electromagnetic fields with broadband characteristics directly in the time domain, thus realizing a deeper and more intuitive understanding of physical quantities and physical phenomena. Compared with the frequency domain method, solving the electromagnetic characteristics of the tar...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/13
Inventor 陈如山李威丁大志樊振宏程光尚
Owner NANJING UNIV OF SCI & TECH
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