Multi-grid precondition method for fast acquiring complex target radar echoes

Abstract

The invention discloses a multi-grid precondition method for fast acquiring complex target radar echoes. The method includes: modeling a target, and using coarse triangular grids to subdivide the surface of the target; subdividing the coarse grids to obtain nested grids, and building RWG basis functions on grid layers; using RWG basis function expansion relations of adjacent grid layers to build a first set of interpolation, limiting operator and coarse grid matrixes, building rotation basis functions at the edges of the grid layers, and using RWG basis function expansion relations of adjacent grid layers to build a second set of interpolation, limiting operator and coarse grid matrixes; and using the multi-grid precondition method to solve equation sets, and using the first set of interpolation, limiting operator and coarse grid matrixes and the second set of interpolation, limiting operator and coarse grid matrixes to accelerate convergence of matrix equation iteration solution. Due to the fact the basis functions are constructed at the edges of the grids, the basis functions are high in modeling precision, two sets of operators are used to accelerate convergence of matrix equation iteration solution, and matrix equation solution can be accelerated evidently.

Description

technical field

[0001] The invention belongs to a preconditioning method for rapidly acquiring complex target radar echoes, in particular to a multigrid preconditioning method for rapidly acquiring complex target radar echoes based on a multigrid preconditioning method. Background technique

[0002] The radar echo characteristics of targets are of great significance in military affairs, and it is extremely important to propose an accurate and effective electromagnetic analysis model. An effective method to solve the radar echo of the target is to establish an integral equation on the target surface and convert it into a system of equations for solution. Taking a metal target as an example, the induced current on the target surface is expanded into a combination of RWG basis functions (Rao M, Wilton D and Glisson A. Electromagnetic scattering by surfaces of arbitrary shape. IEEE Transaction on Antennas and Propagation, 1982, 30(3) :409–418.), using the Galerkin method, the i...

Examples

Embodiment Construction

[0043] combine figure 1 , the multi-grid preconditioning method for the rapid acquisition of complex target radar echoes of the present invention, the steps are as follows:

[0044] In the first step, the object is modeled and subdivided to form a coarse mesh, such as figure 2 The schematic diagram of any target structure is shown, and the target surface is subdivided using the triangular mesh subdivision algorithm, and the following is obtained: image 3 As shown in the grid, the coarse grid and structural information of the target are obtained, including the vertex number, vertex coordinates and the numbers of the three sides of each triangular unit; The grid is a layer 1 grid.

[0045] The second step is to subdivide the coarse grid to obtain a nested grid, that is, to connect the midpoints of the three sides of each triangular unit obtained in the first step to form 4 small triangular units, and use the same method for each A small triangular unit continues to be subdi...

technical field

[0001] The invention belongs to a preconditioning method for rapidly acquiring complex target radar echoes, in particular to a multigrid preconditioning method for rapidly acquiring complex target radar echoes based on a multigrid preconditioning method. Background technique

[0002] The radar echo characteristics of targets are of great significance in military affairs, and it is extremely important to propose an accurate and effective electromagnetic analysis model. An effective method to solve the radar echo of the target is to establish an integral equation on the target surface and convert it into a system of equations for solution. Taking a metal target as an example, the induced current on the target surface is expanded into a combination of RWG basis functions (Rao M, Wilton D and Glisson A. Electromagnetic scattering by surfaces of arbitrary shape. IEEE Transaction on Antennas and Propagation, 1982, 30(3) :409–418.), using the Galerkin method, the i...

Examples

Embodiment Construction

[0043] combine figure 1 , the multi-grid preconditioning method for the rapid acquisition of complex target radar echoes of the present invention, the steps are as follows:

[0044] In the first step, the object is modeled and subdivided to form a coarse mesh, such as figure 2 The schematic diagram of any target structure is shown, and the target surface is subdivided using the triangular mesh subdivision algorithm, and the following is obtained: image 3 As shown in the grid, the coarse grid and structural information of the target are obtained, including the vertex number, vertex coordinates and the numbers of the three sides of each triangular unit; The grid is a layer 1 grid.

[0045] The second step is to subdivide the coarse grid to obtain a nested grid, that is, to connect the midpoints of the three sides of each triangular unit obtained in the first step to form 4 small triangular units, and use the same method for each A small triangular unit continues to be subdi...

Images