CN101257149A - Method for dividing aerial reflecting plane graticule based on structure electromagnetic coupling - Google Patents

Abstract

The invention discloses an antenna reflector mesh generation method based on structure electromagnetic coupling which is used for solving disjunction problem of mesh generation structure and electromagnetic request in present reflector antenna analyse. The mesh generation process includes: extracting reflector mesh through reflector antenna structure analyse model; changing reflector mesh model into regular geometry image according with upper limit of reflector working frequency; selecting standard mesh form according with reflector structure, and thinning selected standard mesh according with antenna working frequency request; changing thinned mesh into reflection mesh adaptive to geometry image; sampling in corresponding geometry image by using reflection mesh, and dividing three-dimensional mesh of antenna reflector, calculating electrical property parameter of reflection antenna. The method provided by the invention not only can meta-synthetic structure analyse and electromagnetic analyse, but also can greatly increase precision and efficiency of reflection antenna electromagnetic analyse calculation, and can be used for computer aided analyse and design for reflector antenna.

Description

Method for dividing aerial reflecting plane graticule based on the structure electromagnetic coupled

Technical field

The invention belongs to antenna technical field, specifically is a kind of structure-electromagnetism synthetic graticule division methods of antenna reflective face, is used to improve the precision and the efficient of reflector antenna computer-assisted analysis.

Background technology

In reflector antenna, mechanical structure is as electromagnetic carrier and boundary condition, and its manufacturing and assembly precision and the distortion under various load effects directly affect the electrical performance indexes such as gain, minor level of antenna.The analytical calculation of malformation needs the concrete form of integrated structure, the type of action of load, the way of restraint on border to set up computation model.And the analytical calculation of electromagnetic field, then often will be idealized as the mechanical structure of boundary condition, so that simplified model, improve computational speed.Therefore, divide although the computation model of structural analysis and emi analysis all needs to carry out grid, their grid model is relatively independent often and disconnect, and precision that this calculates to reflector antenna and efficient are brought and had a strong impact on.For the electromagnetic field model of TV university size, because its grid is in large scale, perhaps cause calculation deviation too big, perhaps cause model to calculate, this problem is particularly outstanding.

For the processing between structured grid model and the electromagnetic grid model, mainly contain two kinds of methods at present: first method is to simulate the reflecting surface surface equation from the structured grid model, then surface equation is incorporated in the electromagnetic field analysis, regenerates grid model and carry out analytical calculation.The advantage of this method is to ignore actual reflecting surface version and concrete structured grid model, generates to help the new electromagnetic grid model that electromagnetic field analysis calculates; Its shortcoming is to ignore in the fit procedure to finish in the network forming lattice model because of foozle, rigging error, malformation details that environmental impact produced, makes result of calculation and actual test result that bigger deviation be arranged.In scientific paper, professional software, all mainly adopt this method at present.Second method is with the form of structured grid model by data file, directly imports to carry out analytical calculation in the electromagnetic field analysis.The advantage of this method is that the malformation in the structured grid model obtains keeping, thereby makes result of calculation more accurate; Its shortcoming is that the structured grid model often can not satisfy the requirement of electromagnetic grid model, need to the structured grid model according to the requirement that emi analysis calculates standardize, homogenizing, specific algorithm mainly adopts Mesh simplification algorithm such as vertex deletion, limit merging, triangle deletion, and mesh refinement algorithm such as triangle, quadrangle subdivision, its mutual preprocessing process is loaded down with trivial details and complicated.

Several picture (Geometry image) is at first put forward by people such as X.Gu on ACM SIGGRAPH 2002, by the method for mesh parameterization (Mesh parametrization), the irregular three-dimensional grid of complexity can be represented with regular fully two-dimensional array form.This new describing method is that the rule of carrying out grid, even control are provided convenience, but is not applied in Mechanical Structure Analysis and electromagnetic field analysis as yet at present.

The content of invention

The objective of the invention is to overcome deficiency and the defective that prior art exists, a kind of method for dividing aerial reflecting plane graticule based on the structure electromagnetic coupled is provided, to solve the disconnection problem between the structured grid and electromagnetic grid in the reflector antenna computer-assisted analysis, significantly improve the precision and the efficient of reflector antenna computer-assisted analysis.

The technical scheme that realizes the object of the invention is by reflector antenna Structural Analysis Model structure reflecting plane graticule, according to the upper limit of reflecting surface operating frequency, reflecting plane graticule to be transformed to the several picture of rule.Requirement according to the reflecting surface operating frequency is carried out refinement to the standard grid, and it is transformed to the map grids that adapts with several picture.By the several picture up-sampling of map grids, form the reflector antenna three-dimensional grid and carry out electromagnetic field analysis calculating in correspondence.Detailed process is as follows:

(1) according to the structural parameters of reflector antenna, sets up the structural analysis finite element threedimensional model of reflector antenna and the reflector antenna finite element threedimensional model after the distortion by infrastructure software;

(2) from the reflector antenna finite element threedimensional model after the distortion, extract the grid node coordinate and the topology information of aerial panel, form the reflecting plane graticule of distortion,

(3) with the several picture of reflecting plane graticule synthetic antenna reflecting surface of distortion;

(4) according to the shape and structure of reflecting plane aerial panel, select the corresponding standard grid, and this standard grid is carried out even refinement;

(5) grid after the refinement is carried out conformal mapping, obtain and the consistent map grids of described several picture form;

(6) sample in described several picture by map grids,, mark off the three-dimensional grid form of antenna reflective face with the value of this sampled point and the node coordinate and the topology information of map grids;

(7) according to the antenna reflective face three-dimensional grid that marks off, calculate the unit for electrical property parameters of reflector antenna, if satisfy required precision, finish calculating, otherwise repeating step (1) is to (6), till satisfying the requirement of unit for electrical property parameters computational accuracy.

Above-mentioned method for dividing aerial reflecting plane graticule, the several picture of the described synthetic antenna reflecting surface of step (2) wherein, carry out according to the following procedure:

(2a) reflecting plane graticule with described distortion evenly is mapped in the rectangle of plane, obtains plane grid;

(2b) adopt interpolation to fill the method that combines, calculate location point and the three-dimensional coordinate point in corresponding reflecting surface finite element threedimensional model thereof in the plane grid with scan line;

(2c) successively each three-dimensional coordinate point is stored with the form that is similar to image, be about to three-dimensional coordinate point (X, Y, Z), just can synthesize several picture according to used three primary colors form (R, G, the B) storage of several picture storage.

Above-mentioned method for dividing aerial reflecting plane graticule, wherein step (3) is described carries out even refinement to the standard grid, carries out according to the following procedure:

(3a) divide basic demand, determine the sizing grid that the standard grid is carried out refinement according to the grid of reflector antenna emi analysis;

(3b) each triangle one in the standard grid is divided into four, promptly the center line on each Atria bar limit is linked together, make each triangle all be divided into four little triangles plesiomorphic with it;

(3c) judge whether the sizing grid after the refinement satisfies determined sizing grid requirement, as satisfying, refinement finishes, otherwise repeating step (3b), further tessellated mesh is till the satisfied sizing grid of determining requires.

Above-mentioned method for dividing aerial reflecting plane graticule, wherein step (4) is carried out according to the following procedure:

(4a) search and write down point on the outer rim of tessellated mesh, and with the some uniform projection of this outer rim on the outer rim of several picture;

(4b) adopt conformal mapping, carry out any 1 P in the convex polygon _iMapping transformation:

$P_i=\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{u}_j\×V_{\text{j}}$ $u_j=\frac{\cot {\mathrm{\α}}_{\mathrm{ij}}+\cot {\mathrm{\β}}_{\mathrm{ij}}}{\underset{j=1}{\overset{n}{\mathrm{\Σ}}}(\cot {\mathrm{\α}}_{\mathrm{ij}}+\cot {\mathrm{\β}}_{\mathrm{ij}})}$

In the formula: V _jBe the apex coordinate of convex polygon, n is P _iThe number of vertex of neighborhood, α _Ij, β _IjBe respectively P _iAnd V _jTwo vertical angles about 2 composition line segments; And structure system of linear equations:

[Ω′]＝[u _j][Ω]

In the formula: there is a P ' in the institute after the Ω ' expression conformal mapping in the convex polygon _iSet, Ω represents before the conformal mapping that there is a P in institute in the convex polygon _iSet;

(4c) find the solution above-mentioned system of linear equations, obtain inner each the grid point P ' of convex polygon _iNew coordinate;

(4d) with the new coordinate P ' that projects to each grid point in each point on the outer rim of several picture and the convex polygon _iReplace the coordinate of tessellated mesh point, can obtain the map grids consistent with the several picture form.

The present invention compared with prior art has following advantage:

(1) the present invention is owing to adopt this novel threedimensional model rule description method of several picture, malformation can be kept at effectively among the several picture on the one hand, to improve computational accuracy, on the other hand according to the three-dimensional data points of the upper limit store high-density of reflecting surface operating frequency, not only improve computational speed, and can be suitable for the analytical calculation of different frequency range work reflecting surface model.

(2) the present invention because adopt rule, the standard grid carries out refinement, mapping uniformly, resulting map grids can keep rule, characteristics uniformly, makes that the analytical calculation of electromagnetic grid model is more accurate, quick.

(3) the present invention can effectively solve the disconnection problem between large-scale reflecting surface structure and the electromagnetism because structure and electromagnetic grid are combined into organic whole by the step of determining, significantly improves the precision and the efficient of analytical calculation.

(4) the map grids rule of obtaining several picture of the present invention goes for difform reflecting surface, makes the inventive method have than extensive applicability.

Simulation result shows: the present invention not only can effectively solve the structure of large-scale reflecting surface and the disconnection problem between the electromagnetism, and can significantly improve precision and efficient that the reflector antenna emi analysis calculates.

Description of drawings

Fig. 1 is the general flow chart that grid of the present invention is divided;

Fig. 2 is the sub-process figure of synthetic antenna reflecting surface several picture of the present invention;

Fig. 3 is the present invention carries out even refinement to the standard grid sub-process figure;

Fig. 4 is the sub-process figure that the present invention carries out mesh mapping;

Fig. 5 is the reflector antenna structural analysis FEM (finite element) model schematic diagram of 30 meters of bores;

Fig. 6 is the grid schematic diagram of the reflecting surface that extracts from Fig. 5;

Fig. 7 a is the reflecting plane graticule schematic diagram of distortion;

Fig. 7 b is by the synthetic several picture schematic diagram of Fig. 7 a;

Fig. 8 a is orthohexagonal standard grid exemplary plot;

Fig. 8 b is the standard grid exemplary plot of rectangle;

Fig. 9 a is the tessellated mesh schematic diagram after the even refinement of orthohexagonal standard grid;

Fig. 9 b is the tessellated mesh exemplary plot after the even refinement of standard grid of rectangle;

Figure 10 a is the convex polygon variable relation schematic diagram before the conformal mapping;

Figure 10 b is the convex polygon variable relation schematic diagram after the conformal mapping;

Figure 11 a is the circular map grids schematic diagram by Fig. 9 a mapping;

Figure 11 b is the oval map grids schematic diagram by Fig. 9 b mapping;

Figure 12 extracts the reflecting plane graticule schematic diagram that obtains from Fig. 5;

Figure 13 is a directional diagram of using the desirable parabolic antenna of existing method gained;

Figure 14 is a directional diagram of using the desirable parabolic antenna of the inventive method gained;

Figure 15 is the directional diagram that adopts the resulting distortion parabolic antenna of the inventive method;

Figure 16 is the reflecting plane graticule schematic diagram that extracts from the FEM (finite element) model of parabolic-cylinder antenna;

Figure 17 adopts the existing resulting desirable parabolic-cylinder antenna directional diagram of method;

Figure 18 adopts the resulting desirable parabolic-cylinder antenna directional diagram of the inventive method;

Figure 19 adopts the resulting distortion parabolic-cylinder antenna of the inventive method directional diagram.

Embodiment

With reference to Fig. 1, the concrete implementation step of the present invention is as follows:

Step 1 according to the structural parameters of reflector antenna, is set up the structural analysis finite element threedimensional model of reflector antenna.

The structural analysis FEM (finite element) model of 30 meters reflector antennas of bore as shown in Figure 5, its overall structure parameter comprises: reflecting surface, centerbody, back of the body frame, bearing, feed, pass through existing structure analysis software according to these structural parameters, adopt the mode of command stream, can set up the finite element threedimensional model of overall reflective surface antenna structure, and analyze at the distortion situation of determining the reflecting surface under the load effect, the reflector antenna finite element threedimensional model after obtaining being out of shape.

Step 2 is extracted the reflecting plane graticule of distortion.

For large-scale reflector antenna, its reflecting surface generally is assembled by the piecemeal panel splicing.Therefore, extract the reflecting plane graticule of distortion, at first will from the reflector antenna finite element threedimensional model after the distortion, extract the grid node coordinate and the topology information of aerial panel, by the reflecting plane graticule of storage formation distortion, as shown in Figure 6.

Step 3, the several picture of synthetic antenna reflecting surface.

With reference to Fig. 2, the several picture of synthetic antenna reflecting surface, carry out according to the following procedure:

1. according to the upper limit of reflecting surface operating frequency, determine the size of several picture;

2. the reflecting plane graticule of distortion that will be shown in Fig. 7 a is mapped in the rectangle of plane, the rectangular size in this plane with definite several picture measure-alike, obtain being mapped to the plane grid in the rectangle of plane;

3. adopt interpolation to fill the method that combines, calculate location point and the three-dimensional coordinate point in corresponding reflecting surface finite element threedimensional model thereof in the plane grid with scan line;

4. successively each three-dimensional coordinate point is stored with the form that is similar to image, be about to three-dimensional coordinate point (X, Y, Z) and store, just can synthesize the several picture shown in Fig. 7 b according to the used three primary colors form (R, G, B) of several picture storage.

Step 4, the standard grid of selection reflecting plane aerial panel

It is consistent with reflector shape that the selection principle of standard grid will be followed the grid form, and the grid after the mapping is even as far as possible.The shape of general standard grid can be divided into triangle, rectangle, regular polygon, and the standard grid shown in Fig. 8 a is exactly typical regular hexagon, and the standard grid shown in Fig. 8 b is exactly typical rectangle.If the shape of reflecting plane aerial panel is the paraboloid of revolution, just can select regular hexagon standard grid, if the shape of reflecting plane aerial panel is the rectangle parabolic cylinder, just can select rectangle standard grid.

Step 5 is carried out even refinement to the standard grid.

In electromagnetic field analysis, different operating frequencies, different analytical methods are divided the grid of reflecting surface different requirements.Grid according to electromagnetic field analysis is divided basic demand, must carry out refinement to standard mesh model.Detailed process is as follows:

1. divide basic demand according to the grid of reflector antenna emi analysis, determine the sizing grid that the standard grid is carried out even refinement;

2. each triangle one in the standard grid is divided into four, promptly the center line on each Atria bar limit is linked together, make each triangle all be divided into four little triangles plesiomorphic with it;

3. judge whether the sizing grid after the refinement satisfies determined sizing grid requirement, as satisfying, refinement finishes, otherwise repeating step 2, further tessellated mesh is till the satisfied sizing grid of determining requires.

For example, with the tessellated mesh that obtains after the even refinement of regular hexagon standard grid shown in Fig. 8 a shown in Fig. 9 a, with the tessellated mesh that obtains after the even refinement of rectangle standard grid shown in Fig. 8 b shown in Fig. 9 b.

Step 6 is carried out conformal mapping to the grid after the refinement, obtains and the consistent map grids of described several picture form.

Conformal mapping is a kind of center-of-mass coordinate transform method, as shown in figure 10.P in Figure 10 a _iBe in certain convex polygon more arbitrarily, V _jBe P _iThe field point; P _iRelative V _jThe center-of-mass coordinate of point can be expressed as:

$P_i=\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{u}_j\×V_{\text{j}}$ $u_j=\frac{\cot {\mathrm{\α}}_{\mathrm{ij}}+\cot {\mathrm{\β}}_{\mathrm{ij}}}{\underset{j=1}{\overset{n}{\mathrm{\Σ}}}(\cot {\mathrm{\α}}_{\mathrm{ij}}+\cot {\mathrm{\β}}_{\mathrm{ij}})}$

In the formula: n is some P in the convex polygon _iThe neighborhood number of vertex, α _Ij, β _IjBe respectively P _iAnd V _jTwo vertical angles about 2 composition line segments.

In Figure 10 b, P ' _iBe in the convex polygon after the conformal mapping more arbitrarily, V ' _jBe P ' after the conformal mapping _iThe field point, P ' _iRelative V ' _jThe center-of-mass coordinate of point can be expressed as:

$P_i^{\′}=\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{u}_j\×V_j^{\′}$

Detailed process by the map grids of grid after the described conformal mapping acquisition refinement is as follows:

1. search and write down the point on the outer rim of tessellated mesh, and with the some uniform projection of this outer rim on the outer rim of several picture;

2. employing conformal mapping is carried out mapping transformation a little to the institute in the convex polygon, makes up system of linear equations:

[Ω′]＝[u _j][Ω]

In the formula: there is a P ' in the institute after the Ω ' expression conformal mapping in the convex polygon _iSet, Ω represents before the conformal mapping that there is a P in institute in the convex polygon _iSet;

3. find the solution above-mentioned system of linear equations, obtain the inner each point P ' of convex polygon after the conformal mapping _iCoordinate;

4. with the inner each point P ' of convex polygon after each point on the outer rim that projects to several picture and the conformal mapping _iCoordinate is replaced the coordinate of tessellated mesh point, can obtain the map grids consistent with the several picture form.

For example, utilize above-mentioned mesh mapping process, the regular hexagon tessellated mesh shown in Fig. 9 a can be mapped as the circular map grids shown in Figure 11 a; Rectangle tessellated mesh shown in Fig. 9 b is mapped as the oval map grids shown in Figure 11 b.

Step 7, the three-dimensional grid of division antenna reflective face.

Grid point coordinate by map grids is determined sampling point position, samples in the several picture consistent with its housing form, can obtain the three-dimensional coordinate of the corresponding sampled point of grid point; Use the topology information of map grids and the three-dimensional coordinate of sampled point, just can mark off the three-dimensional grid of antenna reflective face, the form of this three-dimensional grid satisfies the Electromagnetic Calculation requirement, and rule, even.

Step 8 is used the antenna reflective face three-dimensional grid of being divided and is carried out the electromagnetic performance analysis.

The three-dimensional grid of division antenna reflective face is imported in the electromagnetic field analysis instrument, calculate the unit for electrical property parameters of reflector antenna,, finish calculating if satisfy required precision, otherwise repeating step one is to step 7, till satisfying the requirement of unit for electrical property parameters computational accuracy.

Standard mesh model of the present invention, several picture form, mapping method, grid division methods can be determined according to reflecting surface concrete form and calculation requirement.Below provide several different instances, but be not limited to these examples.

Advantage of the present invention can further specify by following simulation example:

Simulation example 1:

Adopt the paraboloid of revolution antenna of bore 30m, operating frequency 2G.This reflecting surface is made of 108 block length square panels, reflecting surface hoop 18 five equilibriums, and 6 five equilibriums radially, burnt footpath is than being 0.5.Use professional emi analysis software FEKO, adopt physical optical method to calculate.

The structural analysis FEM (finite element) model of this reflector antenna is therefrom extracted the reflecting plane graticule obtain as shown in figure 12 as shown in Figure 5.

Use existing grid division methods and method of the present invention that this paraboloid of revolution antenna is carried out grid respectively and divide, and calculate its antenna pattern, as Figure 13, Figure 14 and shown in Figure 15.The result of calculation of these three directional diagrams relatively, and is as shown in table 1.

Table 1

Grid is divided	Corresponding directional diagram	The triangle surface number	Computing time
				Existing method, desirable parabolic	Figure 13	608440	93.68
The inventive method, desirable parabolic	Figure 14	540000	50.54
				The inventive method, distortion is parabolic	Figure 15	540000	50.51

As seen from Table 1, the triangle surface number of the inventive method institute generating mesh is 88.7% of existing method, and be 53.9% of existing method computing time.

Can see from the comparison of Figure 13 and Figure 14, adopt the paraboloidal directional diagram of the resulting ideal of the inventive method quite consistent, the correctness of the inventive method has been described with the desirable paraboloidal directional diagram that adopts existing method to obtain.

As seen from Figure 15, concrete malformation is determining the actual direction figure of reflector antenna.If adopt existing method to carry out parabolic match, be difficult to obtain actual asymmetry and concrete quantitative value near the similar main lobe as shown in figure 15.

Simulation example 2:

Adopt the parabolic-cylinder antenna of bore 4m, wide 10m, operating frequency 1G.

This reflecting surface is made of 160 triangular panels, reflecting surface bore direction 8 five equilibriums, and Width 10 five equilibriums, parabolical burnt footpath is than being 0.5, the reflecting plane graticule that extraction obtains from the structural analysis FEM (finite element) model of this reflector antenna is as shown in figure 16.

Use professional FEKO software, adopt physical optical method to calculate.Use existing grid division methods and method of the present invention that this parabolic-cylinder antenna is carried out grid respectively and divide, and calculate its antenna pattern, as Figure 17, Figure 18 and shown in Figure 19.The result of calculation of these three directional diagrams relatively, and is as shown in table 2.

Table 2

Grid model	Corresponding directional diagram	The triangle surface number	Computing time
				Existing method, desirable parabolic cylinder	Figure 17	13094	1.235
The inventive method, desirable parabolic cylinder	Figure 18	8000	0.688
				The inventive method, the distortion parabolic cylinder	Figure 19	8000	0.688

As seen from Table 2, the triangle surface number of the inventive method institute generating mesh is 61.0% of existing method, and be 55.7% of existing method computing time.

Can see from the comparison of Figure 17 and Figure 18, adopt the directional diagram of the resulting desirable parabolic cylinder of the inventive method to be better than adopting the directional diagram of the desirable parabolic cylinder that existing method obtains, the correctness of the inventive method has been described.

Can see equally that from Figure 19 concrete malformation directly affects the actual direction figure of parabolic-cylinder antenna, in the directional diagram after the distortion, main lobe gain descends to some extent, and minor level increases, and performance obviously descends.

Above example and simulation result show, the inventive method aspect the grid division not only effectively comprehensive integration structural analysis and emi analysis, and remarkable improvement is being arranged aspect computational accuracy and the speed.

Claims (5)

1. method for dividing aerial reflecting plane graticule based on the structure electromagnetic coupled comprises following process:

(1) according to the structural parameters of reflector antenna, sets up the structural analysis finite element threedimensional model of reflector antenna and the reflector antenna finite element threedimensional model after the distortion by infrastructure software;

(2) from the reflector antenna finite element threedimensional model after the distortion, extract the grid node coordinate and the topology information of aerial panel, form the reflecting plane graticule of distortion;

(3) with the several picture of reflecting plane graticule synthetic antenna reflecting surface of distortion;

(4) according to the shape and structure of reflecting plane aerial panel, select the corresponding standard grid, and this standard grid is carried out even refinement;

(5) grid after the refinement is carried out conformal mapping, obtain and the consistent map grids of described several picture form;

(6) sample in described several picture by map grids,, mark off the three-dimensional grid of antenna reflective face with the value of this sampled point and the node coordinate and the topology information of map grids;

(7) according to the antenna reflective face three-dimensional grid that marks off, calculate the unit for electrical property parameters of reflector antenna, if satisfy required precision, finish calculating, otherwise repeating step (1) is to (6), till satisfying the requirement of unit for electrical property parameters computational accuracy.

2. method for dividing aerial reflecting plane graticule according to claim 1 is characterized in that the described several picture that synthesizes this antenna reflective face of step (2), carries out according to the following procedure:

(2a) reflecting plane graticule with described distortion evenly is mapped in the rectangle of plane, obtains plane grid;

(2b) adopt interpolation to fill the method that combines, calculate location point and the three-dimensional coordinate point in corresponding reflecting surface finite element threedimensional model thereof in the plane grid with scan line;

(2c) successively each three-dimensional coordinate point is stored with the form that is similar to image, be about to three-dimensional coordinate point (X, Y, Z), just can synthesize several picture according to used three primary colors form (R, G, the B) storage of several picture storage.

3. method for dividing aerial reflecting plane graticule according to claim 1, it is characterized in that step (3) is described carries out even refinement to the standard grid, carries out according to the following procedure:

(3a) divide basic demand, determine the sizing grid that the standard grid is carried out refinement according to the grid of reflector antenna emi analysis;

(3b) each triangle one in the standard grid is divided into four, promptly the center line on each Atria bar limit is linked together, make each triangle all be divided into four little triangles plesiomorphic with it;

(3c) judge whether the sizing grid after the refinement satisfies determined sizing grid requirement, as satisfying, refinement finishes, otherwise repeating step (3b), further tessellated mesh is till the satisfied sizing grid of determining requires.

4. method for dividing aerial reflecting plane graticule according to claim 1 is characterized in that step (4) carries out according to the following procedure:

(4a) search and write down point on the outer rim of tessellated mesh, and with the some uniform projection of this outer rim on the outer rim of several picture;

(4b) adopt conformal mapping, carry out any 1 P in the convex polygon _iMapping transformation:

$P_i=\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{u}_j\×V_{\text{j}}$ $u_j=\frac{\cot {\mathrm{\α}}_{\mathrm{ij}}+\cot {\mathrm{\β}}_{\mathrm{ij}}}{\underset{j=1}{\overset{n}{\mathrm{\Σ}}}(\cot {\mathrm{\α}}_{\mathrm{ij}}+\cot {\mathrm{\β}}_{\mathrm{ij}})}$

In the formula: V _jBe the apex coordinate of convex polygon, n is P _iThe number of vertex of neighborhood, α _Ij, β _IjBe respectively P _iAnd V _jTwo vertical angles about 2 composition line segments, and make up system of linear equations:

[Ω′]＝[u _j][Ω]

In the formula: there is a P ' in the institute after the Ω ' expression conformal mapping in the convex polygon _iSet, Ω represents before the conformal mapping that there is a P in institute in the convex polygon _iSet;

(4c) find the solution above-mentioned system of linear equations, obtain inner each the grid point P ' of convex polygon _iNew coordinate;

(4d) with the new coordinate P ' that projects to each grid point in each point on the outer rim of several picture and the convex polygon _iReplace the coordinate of tessellated mesh point, can obtain the map grids consistent with the several picture form.

5. method for dividing aerial reflecting plane graticule according to claim 2 is characterized in that described plane rectangle size determines according to the upper limit of reflector antenna operating frequency, this plane rectangle size and described several picture measure-alike.

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