CN110414111B - Design method for double-screen unequal-period frequency selective surface - Google Patents
Design method for double-screen unequal-period frequency selective surface Download PDFInfo
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- CN110414111B CN110414111B CN201910657731.6A CN201910657731A CN110414111B CN 110414111 B CN110414111 B CN 110414111B CN 201910657731 A CN201910657731 A CN 201910657731A CN 110414111 B CN110414111 B CN 110414111B
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Abstract
The invention discloses a design method of a double-screen unequal-period frequency selection surface, belongs to the technical field of electromagnetic fields and microwaves, and is mainly used for stealth design of electronic equipment. For the FSS widely adopted design method at present, the period boundary condition and Floque mode excitation technology are adopted, although the method is high in calculation efficiency and accurate in calculation result, the method has a certain limit on the design of the double-screen FSS, namely, FSS period units of different layers are required to have periods with the same size, so that the degree of freedom of the design is reduced, and the optimal performance of the double-screen FSS is difficult to achieve. The invention eliminates the limitation that each layer of periodic unit on the surface of the double-screen FSS has the same period, increases the design freedom degree and ensures that the design is easier to reach the appointed performance.
Description
Technical Field
The invention belongs to the technical field of electromagnetic fields and microwaves.
Background
Frequency selective surface (Frequency Selective Surface, FSS) technology is widely used in the design of stealth, dichroic primary and secondary reflective surfaces, circuit analog absorbers, and polarizers for electronic information devices. FSS is a structure formed by periodically arranging the same units on a one-dimensional or two-dimensional plane, so that a simulation design method generally adopted at present is a periodic boundary condition and Floque mode excitation technology. The method has high calculation efficiency and accurate calculation result, but has certain limitation on the design of the double-screen FSS. The method requires FSS periodic units of different layers to have periods with the same size, so that the design freedom degree is reduced, and the optimal performance of the double-screen FSS is difficult to achieve. There is no document or patent of the invention to date that relates to a method of designing a non-equal period FSS. The invention discloses a design method of a double-screen unequal-period FSS, which overcomes the defects of the traditional design method and ensures that the performance of the double-screen FSS is better.
Disclosure of Invention
The invention discloses a design method of a double-screen unequal-period frequency selection surface, which solves the limitation that the periodic units of each layer of the surface of a double-screen FSS (frequency shift switch) have the same period, increases the design freedom degree and ensures that the design is easier to achieve the appointed performance. The specific design steps are as follows:
step one: determination of monolayer FSS cell characteristics
According to design index requirement, selecting two types of suitable frequency selection surface period units U 1 ,U 2 In particular, the two cell types may be identical, and their relationship between physical parameters and electrical properties is analyzed, and a set of physical parameters with better frequency response characteristics is selected. Determining the respective physical parameters in the modelThe relative relationship of the period size T.
Step two: obtaining the corresponding relation between the period T and the resonance frequency point through parameter scanning
And (3) carrying out parameter scanning on the period T, and determining other physical parameters in the model according to the result of the step one. And obtaining the corresponding relation between the single-layer FSS unit period T and the resonance frequency point in a parameter scanning mode.
Step three: selecting a two-tier FSS cell period size value T 1 ,T 2
Analyzing the bandwidths and the resonant frequency point positions corresponding to different period sizes, and selecting two period size values T 1 ,T 2 So that two models, namely units U 1 Period T 1 Sum unit U 2 Period T 2 Approximately covers the index requirement after superposition of the response curves of (c).
Step four: determining T 1 ,T 2 Proportional relationship of
T selected according to step three 1 ,T 2 Ratio α=t 1 /T 2 Finding an irreducible fraction m/n, so that m/n is approximately equal to alpha, wherein m and n are positive integers, and the principle of selection is that m and n are as small as possible. If α=1.536, then m=3 and n=2 can be selected. Then to T 1 ,T 2 Either or both parameters are modified, after which T is still used 1 ,T 2 Representation such that the relation nT 1 ＝mT 2 The strictness is established.
Step five: establishing a double-screen FSS periodic unit model
Establishing a double-screen FSS unit model U 3 One of the layers being a unit U 1 According to period T 1 Is arranged n×n, and the other layer is a unit U 2 According to period T 2 Are arranged m×m. Unit U 3 Period t=nt 1 ＝mT 2 。
Step six: fine tuning unit U 3 Physical parameters, complete design
The performance of the double-screen FSS constructed in the first to sixth steps basically meets the design index requirement, and the unit U is further analyzed 3 Is comprised of (T) 1 ,T 2 But must satisfy nT 1 ＝mT 2 ) And (3) the relationship with the electrical performance to finish the design which finally meets the index requirements.
Compared with the prior art, the method has the beneficial effects that:
(i) Allowing the two-screen FSS design, the two periodic elements may be different in size, increasing one degree of freedom in the two-screen frequency selective surface design, ultimately leading to a higher performance limit for the designable.
(ii) The periodic units of the frequency selective surfaces of the layers can be arranged more closely, so that the grating lobes can appear more frequently and then the performance of the grating lobes with a large incidence angle is more stable.
Drawings
Fig. 1: frequency selective surface square ring type periodic unit model diagram.
Fig. 2: the FSS unit is according to the period T 2 3X 3 arrangement is made.
Fig. 3: the FSS unit is according to the period T 1 The array was 2X 2.
Fig. 4: unequal-period double-screen FSS unit model, P 1 、P 2 Is a Floquet excitation port and PBC is a cycle boundary condition.
Fig. 5: frequency response characteristics of the frequency selective surface as a function of the period T.
Fig. 6: determining the period size T through the position of the resonant frequency point and the bandwidth 1 T and T 2 。
Fig. 7: non-equal period dual screen frequency selective surface normal and large angle frequency response curves.
Detailed Description
The invention is further specifically described with reference to the accompanying drawings and the technical scheme, and the specific implementation process is as follows:
a frequency selective surface is designed that operates at a wide angle while blocking in the X, ku band.
Step one: determination of monolayer FSS cell characteristics
Since the bandwidth requirements are typically designed as dual screens, there are many selectable periodic units, such as three-leg loading units, hexagonal ring units, square ring units, and various combinations of units. Taking square ring units as examples, namely U 1 ＝U 2 =square ringAs shown in fig. 1, the unit first analyzes the relationship between the physical parameters and the electrical performance, and selects a group of physical parameters with better frequency response characteristics, wherein the relative relationship between each physical parameter in the unit and the period size T is as follows: b=0.8t, w=0.06T, so that the periodic unit has only one physical parameter T.
Step two: obtaining the corresponding relation between the size of the periodic unit and the resonance frequency point through parameter scanning
The corresponding relation between the single-layer FSS unit period size T and the resonance frequency point is obtained through a parameter scanning mode, as shown in fig. 5.
Step three: selecting FSS cell period size value T 1 ,T 2
Analyzing the bandwidths and the resonant frequency point positions corresponding to different period sizes, and selecting two period size values T 1 ＝10.5mm,T 2 =7.5 mm, so that the response curves of the two models, namely the square ring unit with period 10.5mm and the square ring unit with period 7.5mm, overlap approximately the index requirement, as shown in fig. 6.
Step four: determining T 1 ,T 2 Proportional relationship of
T according to the preliminary selection of step three 1 ,T 2 Ratio T 1 /T 2 Find irreducible fraction m/n, such that m/n≡1.4, m=7, n=5 can be chosen. But m=3, n=2 can be made as small as possible for m and n. Then use the relation nT 1 ＝mT 2 For T 2 Make corrections, T 2 ＝nT 1 M=2×10.5 mm/3=7 mm. Of course, the above relation and T can also be used 2 For T 1 Make corrections, i.e. T 1 ＝mT 2 N=3×7.5 mm/2=11.25 mm. Comparing the two cases, correcting T 2 More appropriate, because the corrected value is less altered than the initial value selected in step three.
Step five: establishing a double-screen FSS periodic unit model
Establishing a double-screen FSS unit model U 3 As shown in FIG. 4, one layer is a unit U 1 According to period T 1 N×n arrangement (n=2 in this example, as shown in fig. 3), and the other layer is a unit U 2 According to period T 2 Are arranged m×m (this example)m=3, as shown in fig. 2). Unit U 3 With period nT 1 ＝mT 2 。
Step six: adjusting unit U 3 Each physical parameter is designed
In step one, the periodic unit U 1 ,U 2 The physical parameters of the unit are replaced by the corresponding period size values, so that the design difficulty can be reduced in the early stage of design, and the performance of the unit can be ensured to a certain extent. At T 1 ,T 2 After the determination, the unit U can be further adjusted 3 The resulting design that ultimately meets the specification requirements is shown in figure 7.
Claims (2)
1. A design method of a double-screen unequal-period frequency selective surface is characterized by comprising the following steps of:
step one: determining single-layer FSS unit characteristics; according to design index requirement, selecting two types of suitable frequency selection surface period units U 1 ,U 2 Analyzing physical parameters, analyzing the relation between the physical parameters and the electrical performance, and selecting a group of physical parameters with frequency response characteristics, thereby determining the relative relation of each physical parameter in the model relative to the period size T;
step two: obtaining the corresponding relation between the size of the periodic unit and the resonance frequency point through parameter scanning; carrying out parameter scanning on the period T, and determining other physical parameters in the model according to the result of the step one; obtaining the corresponding relation between the single-layer FSS unit period T and the resonance frequency point in a parameter scanning mode;
step three: selecting period value T of two-layer FSS unit 1 ,T 2 The method comprises the steps of carrying out a first treatment on the surface of the Analyzing the bandwidths and the resonant frequency point positions corresponding to different period sizes, and selecting two period size values T 1 ,T 2 So that two models, namely units U 1 Period T 1 Sum unit U 2 Period T 2 Covering the index requirement after the response curves of the (a) are overlapped;
step four: determining T 1 ,T 2 And the proportional relationship thereof; t selected according to step three 1 ,T 2 Ratio α=t 1 /T 2 Finding an irreducible fraction m/n, such that m/n is approximately equal to alpha, wherein,m and n are positive integers; then to T 1 ,T 2 Either or both parameters are modified, after which T is still used 1 ,T 2 Representation such that the relation nT 1 ＝mT 2 Strictly holds;
step five: establishing a double-screen FSS periodic unit model; establishing a double-screen FSS unit model U 3 One of the layers being a unit U 1 According to period T 1 Is arranged n×n, and the other layer is a unit U 2 According to period T 2 M×m arrangement; unit U 3 With period nT 1 ，nT 1 ＝mT 2 ；
Step six: fine tuning unit U 3 Physical parameters, and finishing design; the performance of the double-screen FSS constructed in the first to sixth steps meets the design index requirement, and the unit U is further analyzed 3 The relation between each physical parameter and the electrical performance, the physical parameter comprises T 1 ,T 2 Must satisfy nT 1 ＝mT 2 And (5) finishing the design which finally meets the index requirements.
2. The method for designing a dual-screen non-equal period frequency selective surface according to claim 1, wherein: the step one frequency selective surface period unit U 1 ,U 2 The types are the same.
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