A waveguide full-wave analysis method based on high-order symplectic compact scheme
An analysis method and high-level technology, applied in the field of waveguide full-wave analysis based on high-order symplectic compact schemes, can solve the problems of reducing computer iteration time and memory usage, long simulation time, and high computational complexity, and achieve the goal of overcoming Poor stability, reduced memory space and CPU runtime effects
Active Publication Date: 2021-10-29
HEFEI NORMAL UNIV
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[0003] Aiming at the shortcomings of the symplectic algorithm in the simulation of large-scale or complex targets caused by multi-level time step iterations, the simulation time is longer and the computational complexity is higher. The present invention proposes a high-order symplectic algorithm in time and a compact format Combined high-order symplectic compact finite-difference-time-domain algorithm, namely: High-Order Symplectic Compact Finite-Difference-Time-Domain (HSCFDTD, finite-difference time-domain method) for waveguide full-wave analysis, while maintaining the stability of the system , which greatly reduces the iteration time and memory usage of the computer, and realizes efficient and stable time-domain electromagnetic simulation
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[0043] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.
[0044] Using the theoretical background of the symplectic properties of Maxwell's equations in free space, a high-order spatial compact difference scheme is introduced into its time-evolving symplectic matrix, and the partial differential of Maxwell's partial differential equations in the z direction is expressed by -jβ z To replace it, obtain the differential equation form in the high-order symplectic format Maxwell’s complex number domain, and then obtain the differential equation form in the real number domain through the phase transformation of the electric field and magnetic field, and realize ...
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The invention discloses a waveguide full-wave analysis method based on a high-order symplectic compact scheme. The method is based on the FDTD algorithm foundation in computational electromagnetics, and adopts a space-time optimization scheme combining a time symplectic algorithm and a space-compact differential scheme to simulate electromagnetic waves. Stable and fast propagation in the three-dimensional waveguide resonator. The invention solves the contradiction between improving the numerical stability and reducing the numerical calculation time of the traditional three-dimensional FDTD algorithm, while maintaining the energy conservation in the waveguide resonant cavity system, it greatly reduces the iteration time and memory usage of the computer, and is a waveguide The full-wave analysis of provides a high-efficiency, high-stability time-domain numerical calculation method.
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technical field [0001] The invention relates to the technical field of electromagnetic numerical simulation, in particular to a waveguide full-wave analysis method based on a high-order symplectic compact scheme. Background technique [0002] In recent years, Computational Electromagnetics has developed rapidly as an emerging interdisciplinary subject integrating electromagnetic field theory, numerical methods, and computer technology. Its academic value and engineering significance have penetrated into wireless communication technology, microwave imaging technology, remote sensing, invisibility Aircraft design technology and other fields. With the rapid development of applied mathematics and computer technology, various computational electromagnetics numerical methods emerge in an endless stream. In order to solve the problem of how to maintain the intrinsic properties of the electromagnetic system stably and efficiently during long-term simulation and simulation of large-s...
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IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 况晓静黄志祥王道平王辉曹欣远齐琦杨晨唐成虎
Owner HEFEI NORMAL UNIV