CN107729630A - Singly station scatters figuration optimization method in multilayer face of cylinder broadband based on binomial expansion - Google Patents
Singly station scatters figuration optimization method in multilayer face of cylinder broadband based on binomial expansion Download PDFInfo
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- CN107729630A CN107729630A CN201710891865.5A CN201710891865A CN107729630A CN 107729630 A CN107729630 A CN 107729630A CN 201710891865 A CN201710891865 A CN 201710891865A CN 107729630 A CN107729630 A CN 107729630A
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Abstract
The invention discloses a kind of multilayer face of cylinder broadband based on binomial expansion, singly station scatters figuration optimization method, it is L for length, bottom surface radius is R cylindrical metal structure, incidence wave is along during its bottom surface radial direction incidence, it is multilayer cylinder by the single cylindrical metal Optimal Structure Designing, n rank cylindrical structure lists station scattering result expression is calculated first, binomial expansion is carried out after being arranged, can obtain the bottom surface radius of m layer cylindrical structures and the length of m layer cylindrical structures in n rank cylindrical structures.The present invention can change merely with the Multi-layer design of profile to realize that the scattered wave of sandwich construction contribution inversely adds, so as to reach the broadband optimization design effect that singly station scatters.
Description
Technical field
The invention belongs to technical field of electromagnetic compatibility, more particularly to a kind of multilayer face of cylinder broadband based on binomial expansion
Single station scattering figuration optimization method.
Background technology
Under more application scene, the cylindrical structural such as monopole antenna is also required to consider its singly station scattering optimization design.
At present, although there are the measures such as absorbing material effectively to suppress to scatter, the larger burden safeguarded with cost can be brought.Cause
This, how in the case where not considering absorbing material, change just with profile --- and figuration realizes that optimization design just becomes
There is very much challenge, and further consider in practicality the more broadband effects of demand, then difficulty is bigger.
The content of the invention
The technical problem to be solved by the invention is to provide a kind of multilayer face of cylinder broadband based on binomial expansion singly to stand
Figuration optimization method is scattered, can be changed merely with the Multi-layer design of profile to realize that the scattered wave of sandwich construction contribution is anti-phase folded
Add, so as to reach the broadband optimization design effect that singly station scatters.
The technical solution adopted for the present invention to solve the technical problems is：A kind of multilayer cylinder based on binomial expansion is provided
The single station scattering figuration optimization method in face broadband, be L for length, and bottom surface radius is R cylindrical metal structure, and incidence wave is along its bottom
It is multilayer cylinder by the single cylindrical metal Optimal Structure Designing during radial direction incidence of face, making it, singly scattering result in station is being set
Wide-band (X-band：8-12GHz) realize that more than 20dB broadbands (more than 4GHz) reduce effect.This method comprises the following steps, step
One, n rank (n+1 layers) cylindrical structure lists station scattering result expression is calculated,
λ is incident electromagnetic wave wavelength, σ1, σ2The respectively first layer of n+1 layers cylindrical metal structure and (n+1)th layer of independent tribute
The single station scattering result offered, k=2 π/λ, and meet a1=R, e and π are to commonly use constant, wherein coefficient a1With a2Meet a2-a1=p
λ/4, p=1,3,5 ..., realize the effect that inversely adds under setpoint frequency.Setpoint frequency herein determined by k, and k takes
Value is confirmed according to demand by user；For example, it is desirable to this setpoint frequency is anti-phase in 10GHz, then k herein is exactly=2
π/0.03.If want respective frequencies scope, then setpoint frequency is usually the center frequency point for regarding as the frequency range；For example,
It is 8-12GHz to wish respective frequencies scope, and its centre frequency is 10GHz, then 10GHz is now centre frequency.Work as n=0
When, that is, single cylinder is represented, in the absence of layering；
Step 2, binomial expansion is carried out after being arranged to expression formula in step 1, can obtain n ranks (n+1 layers) cylindrical structure
In the bottom surface radius of m layer cylindrical structures and the length of m layer cylindrical structures.
By above-mentioned technical proposal, in the step 2, the bottom surface of m layer cylindrical structures half in n ranks (n+1 layers) cylindrical structure
Footpath specifically,
Rm=(n-m+1) a1+(m-1)a2, n is the number of plies,
The length of m layer cylindrical structures is in n ranks (n+1 layers) cylindrical structure,
A=a1 1/2b1, B=a2 1/2b2, lmBracket represents binomial expansion coefficient.The visible binomial of expression is determined
Reason, in binomial theorem, usual binomial coefficient expression formula is as follows：
Or
By above-mentioned technical proposal, in the step 3, Rm+1-Rm=λ/4, λ are incident electromagnetic wave wavelength.Represent of interest
Band center frequency corresponding to wavelength.Such as X-band center frequency point is 10GHz, wavelength 0.03m.
The beneficial effect comprise that：A kind of singly station scattering of multilayer face of cylinder broadband based on binomial expansion is provided
Figuration optimization method, it can change merely with the Multi-layer design of profile to realize that the scattered wave of sandwich construction contribution inversely adds, from
And reach the broadband optimization design effect that singly station scatters.
Brief description of the drawings
Below in conjunction with drawings and Examples, the invention will be further described, in accompanying drawing：
Fig. 1 is multilayer face of cylinder broadband of the embodiment of the present invention based on binomial expansion singly station scattering figuration optimization method
Schematic side view；
Fig. 2 is Fig. 1 top view；
Fig. 3 is that singly station is scattered in figuration optimization method in multilayer face of cylinder broadband of the embodiment of the present invention based on binomial expansion
Multilayer cylindrical geometry parameter schematic diagram；
Fig. 4 is that singly station is scattered in figuration optimization method in multilayer face of cylinder broadband of the embodiment of the present invention based on binomial expansion
Multilayer cylinder scattering reduction effect diagram.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples
The present invention is further elaborated.It should be appreciated that specific embodiment described herein is only to explain the present invention, not
For limiting the present invention.
In the embodiment of the present invention, there is provided a kind of singly station scattering figuration optimization of multilayer face of cylinder broadband based on binomial expansion
Method, it is L for length, bottom surface radius is R cylindrical metal structure, and incidence wave is incited somebody to action along during its bottom surface radial direction incidence
The single cylindrical metal Optimal Structure Designing is multilayer cylinder, as shown in Figure 1 and Figure 2, makes its singly width of the station scattering result in setting
Frequency range (X-band：8-12GHz) realize that more than 20dB broadbands (more than 4GHz) reduce effect, this method comprises the following steps, step 1,
N rank (n+1 layers) cylindrical structure lists station scattering result expression is calculated,
λ is incident electromagnetic wave wavelength, σ1, σ2The respectively first layer of n+1 layers cylindrical metal structure and (n+1)th layer of independent tribute
The single station scattering result offered, k=2 π/λ, and meet a1=R, e and π are to commonly use constant, wherein coefficient a1With a2Meet a2-a1=p
λ/4, p=1,3,5 ..., realize the effect that inversely adds under setpoint frequency.Setpoint frequency herein determined by k, and k takes
Value is confirmed according to demand by user；For example, it is desirable to this setpoint frequency is anti-phase in 10GHz, then k herein is exactly=2
π/0.03.If want respective frequencies scope, then setpoint frequency is usually the center frequency point for regarding as the frequency range；For example,
It is 8-12GHz to wish respective frequencies scope, and its centre frequency is 10GHz, then 10GHz is now centre frequency.Work as n=0
When, that is, single cylinder is represented, in the absence of layering；
Step 2, binomial expansion is carried out after being arranged to expression formula in step 1, can obtain n ranks (n+1 layers) cylindrical structure
In the bottom surface radius of m layer cylindrical structures and the length of m layer cylindrical structures.
Further, in the step 2, the bottom surface radius of m layer cylindrical structures is specific in n ranks (n+1 layers) cylindrical structure
For,
Rm=(n-m+1) a1+(m-1)a2, n is the number of plies,
The length of m layer cylindrical structures is in n ranks (n+1 layers) cylindrical structure,
A=a1 1/2b1, B=a2 1/2b2, lmBracket represents binomial expansion coefficient.The visible binomial of expression is determined
Reason, in binomial theorem, usual binomial coefficient expression formula is as follows：
Or
Further, in the step 3, Rm+1-Rm=λ/4, λ are incident electromagnetic wave wavelength.Represent frequency band of interest
Wavelength corresponding to center frequency point.Such as X-band center frequency point is 10GHz, wavelength 0.03m.
In the preferred embodiment, in order to show the design effect of n tier application framework, we respectively will take n
0,1,2,5 four representative value, single cylinder, 2 layers of cylinder, 3 layers of cylinder and 6 layers of cylindrical structure are corresponded to respectively, contrasted by scattering
Curve demonstrates reduction effect.With reference to the formula of step 2, in conjunction withAnd Rm+1-Rm=λ/4, it can obtain specifically
The geometric parameter values of each layer cylindrical structure, as shown in Figure 3.
Using scattering curve of the single cylinder near X-band as reference, based on PO (physical optics) and MOM (moment method) two
Kind method directly gives corresponding reduction curve (i.e. σtotal,n-σtotal,0), as shown in Figure 4.As can be seen that the number of plies is more, reduction
Effect is more notable, and especially frequency range corresponding to reduction is wider.
It should be appreciated that for those of ordinary skills, can according to the above description be improved or converted,
And all these modifications and variations should all belong to the protection domain of appended claims of the present invention.
Claims (3)
1. it is L for length a kind of single station scattering figuration optimization method in multilayer face of cylinder broadband based on binomial expansion, bottom surface
Radius is R cylindrical metal structure, and incidence wave is excellent by the single cylindrical metal structure along during its bottom surface radial direction incidence
Change is designed as multilayer cylinder, and this method comprises the following steps, step 1, calculates n rank cylindrical structure lists station scattering result expression,
Wherein λ is incident electromagnetic wave wavelength, σ1, σ2The respectively first layer of n+1 layers cylindrical metal structure and (n+1)th layer of independent tribute
The single station scattering result offered, k=2 π/λ, and meet a1=R, e and π are to commonly use constant, wherein coefficient a1With a2Meet a2-a1=p
λ/4, p=1,3,5 ..., realize the effect that inversely adds under setpoint frequency, as n=0, that is, represent single cylinder, in the absence of point
Layer；
Step 2, binomial expansion is carried out after being arranged to expression formula in step 1, can obtain m layer cylinders in n rank cylindrical structures
The bottom surface radius of structure and the length of m layer cylindrical structures.
2. singly station scatters figuration optimization method in the multilayer face of cylinder broadband according to claim 1 based on binomial expansion,
Characterized in that, in the step 2, in n rank cylindrical structures m layer cylindrical structures bottom surface radius specifically,
Rm=(n-m+1) a1+(m-1)a2,
The length of m layer cylindrical structures is in n rank cylindrical structures,
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mn>1</mn>
<mi>n</mi>
</munderover>
<msub>
<mi>l</mi>
<mi>m</mi>
</msub>
<mo>=</mo>
<mi>L</mi>
</mrow>
A=a1 1/2b1, B=a2 1/2b2, lmBracket represents binomial expansion coefficient.
3. singly station scatters figuration optimization method in the multilayer face of cylinder broadband according to claim 2 based on binomial expansion,
Characterized in that, in the step 3, Rm+1-Rm=λ/4, λ are incident electromagnetic wave wavelength.
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| CN103632028A (en) * | 2013-09-06 | 2014-03-12 | 杭州电子科技大学 | Method for analyzing electromagnetic scattering of multilayer spiral electromagnetic anisotropic medium ball |
| CN104345380A (en) * | 2014-08-07 | 2015-02-11 | 江苏大学 | Two-mode optical fiber |
| CN104538744A (en) * | 2014-12-01 | 2015-04-22 | 电子科技大学 | Electromagnetic hard surface structure applied to metal cylinder and construction method thereof |
| CN106383998A (en) * | 2016-09-09 | 2017-02-08 | 厦门大学 | Ground laser radar scanning-based automatic tree breast-height diameter calculation method |
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2017
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Patent Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2012103033A (en) * | 2010-11-08 | 2012-05-31 | Jfe Steel Corp | Ultrasonic flaw detecting method for circular cylinders and ultrasonic flaw detecting device for circular cylinders |
| CN102788908A (en) * | 2012-07-24 | 2012-11-21 | 中国舰船研究设计中心 | Method for predicting horizontal electromagnetic scattering mean of ship loaded with cylindrical whip antenna |
| CN103279601A (en) * | 2013-05-17 | 2013-09-04 | 南京理工大学 | Method for simulating wide-band electromagnetic scattering property of conductor target |
| CN103632028A (en) * | 2013-09-06 | 2014-03-12 | 杭州电子科技大学 | Method for analyzing electromagnetic scattering of multilayer spiral electromagnetic anisotropic medium ball |
| CN104345380A (en) * | 2014-08-07 | 2015-02-11 | 江苏大学 | Two-mode optical fiber |
| CN104538744A (en) * | 2014-12-01 | 2015-04-22 | 电子科技大学 | Electromagnetic hard surface structure applied to metal cylinder and construction method thereof |
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