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Perfect matching layer method of hyperbolic metamaterial based on time domain finite difference

A technology of finite difference in time domain and perfect matching layer, applied in complex mathematical operations, CAD numerical modeling, design optimization/simulation, etc., can solve problems such as PML instability and achieve strong stability

Pending Publication Date: 2022-04-29
XIAMEN UNIV
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Problems solved by technology

Classical PML shows ultra-high absorption efficiency in different types of media, which is suitable for linear dispersion materials and theoretically also suitable for the simulation of materials with negative refractive index. However, through analysis, PML is the best in many materials with negative refractive index. unstable

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  • Perfect matching layer method of hyperbolic metamaterial based on time domain finite difference
  • Perfect matching layer method of hyperbolic metamaterial based on time domain finite difference
  • Perfect matching layer method of hyperbolic metamaterial based on time domain finite difference

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Embodiment Construction

[0042] In order to make the object, technical solution and advantages of the present invention more clear, the following embodiments will further illustrate the present invention in conjunction with the accompanying drawings.

[0043] like figure 1 As shown, the embodiment of the present invention includes the following steps:

[0044] 1) Define the parameters of the simulation model, define the electric field and magnetic field components, magnetic permeability, etc.; set the number of simulation time steps to 1500, the thickness of the PML layer to 9 grids, and the simulation frequency to 1.5×10 14 Hz.

[0045] 2) Determine the number of discrete grids; the number of sampling points per minimum wavelength is N_lambda is 10, and the number of discrete grids in the x and y directions are respectively: 3λ×6λ.

[0046] 3) Add a sine wave source to the hyperbolic medium, and update the magnetic field; the specific steps and principles are: the wave source is set to a single fre...

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Abstract

The invention discloses a hyperbolic metamaterial perfect matching layer method based on time domain finite difference, and belongs to the field of computational electromagnetic simulation. Comprising the following steps: 1) setting simulation parameters of an FDTD algorithm; 2) determining simulation precision and the number of discrete grids; 3) adding a sine wave source into the hyperbolic medium; 4) updating electric field and magnetic field components; 5) drawing magnetic field distribution, and analyzing stability; and 6) data post-processing: if the result of the field quantity of the magnetic field obtained in the step 5) is not convergent or the error is large, the PML is unstable, and the PML needs to be corrected. The problem that electromagnetic waves propagated in a hyperbolic material have numerical divergence in frequency domain PML simulation of traditional PML and COMSOL is solved, the problem that the frequency domain PML in the time domain traditional PML and COMSOL cannot absorb the electromagnetic waves in the hyperbolic material is solved, high stability is shown, and a numerical result further verifies the effectiveness of a PML improvement technology.

Description

technical field [0001] The invention belongs to the field of computational electromagnetic simulation, and in particular relates to a perfect matching layer method of hyperbolic metamaterials based on time domain finite difference. Background technique [0002] In recent years, with the continuous advancement of micro-nano processing technology, the interaction between matter and electromagnetic waves at the subwavelength scale has attracted extensive attention. Electromagnetic metamaterials are artificial materials composed of structural units whose characteristic size is much smaller than the working wavelength, and which have electromagnetic properties that do not exist in natural materials. As an important branch of electromagnetic metamaterials, hyperbolic metamaterials have become the focus of research due to their unique near-field electromagnetic wave manipulation properties. By changing the regulation of the excitation intensity and direction of the surface plasmon...

Claims

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Application Information

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IPC IPC(8): G06F30/23G06F17/11G06F17/15G06F17/16G06F111/10
CPCG06F30/23G06F17/11G06F17/15G06F17/16G06F2111/10
Inventor 刘娜董俊涛陶思岑陈焕阳
Owner XIAMEN UNIV
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