CN107356906A - A kind of treetop level target Image interference suppressing method using Brewster effect - Google Patents
A kind of treetop level target Image interference suppressing method using Brewster effect Download PDFInfo
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- CN107356906A CN107356906A CN201710444044.7A CN201710444044A CN107356906A CN 107356906 A CN107356906 A CN 107356906A CN 201710444044 A CN201710444044 A CN 201710444044A CN 107356906 A CN107356906 A CN 107356906A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/38—Jamming means, e.g. producing false echoes
Abstract
The invention discloses a kind of treetop level target Image interference suppressing method using Brewster effect, this method comprises the following steps：According to treetop level target Environmental coupling scattering mechanism, a kind of four path electromagnetic simulation models are built, the Image interference scattering strength of extreme low-altitude missile target under different battlefield surroundings is obtained, searches out Brewster optimal attack angle under respective environment.By electromagnetism computation model carry out it is a variety of under the conditions of target environment combination scattering characteristic Simulation, find the Brewster's angle under varying environment, compare the signal interference ratio characteristic under Brewster's angle.Carried out guiding the constraint of guiding rate and optimization design according to guiding parameter of the different target components to guided missile, guided missile tracking rule, make to complete Brewster optimized trajectory design as far as possible close to Brewster's angle in grazing angle flight course according to certain optimization method.The present invention can improve treetop level target Image interference with relatively low signal transacting cost and suppress efficiency.
Description
Technical field
Image interference when intercepting ultra-low altitude penetration target the invention mainly relates to air defence missile radar seeker suppresses to ask
Topic, is related to a kind of treetop level target Image interference suppressing method using Brewster effect, specifically, is related to a kind of new
The extreme low-altitude Image interference suppressing method of the active using Brewster effect of type.
Background technology
During modern times air defence is fought, using the masking of Complex Battlefield Environments, carry out low latitude/ultra-low altitude penetration turns into one kind
The conventional and effective patterns of warfare.During target low latitude/ultra-low altitude penetration, target produces radar multipath effect with lower section environment, more
Footpath effect is a kind of interference with class target property, referred to as Image interference, and Image interference is to influence missile-radars target seeker to surpass
The principal element of Low Altitude Target Detection tracking performance.Test result indicates that guided missile, when intercepting high and medium target, radar guides
Distance ground sea is far all the time with target for head, and echo-signal is cleaner, and target detection, capture, tracking are relatively easy；But
When intercepting treetop level target, guided missile is in lower and regards attack state, and all liftoff sea of radar seeker and target is close, in mesh
Mark around signal, strong clutter easily occur and strong Image interference is as shown in Figure 1.
Image interference comes from bullet when attack treetop level target is regarded under radar seeker, the forceful electric power between target and environment
Magnetic coupling interaction.When Image interference enters radar seeker with target echo, severe jamming can be produced to echo-signal,
So that glint, tracking is overproof, causes radar seeker the operation irregularities such as target loss occur, has a strong impact on air defence missile
Extreme low-altitude operational performance.For confrontation angle, Image interference has class target property, compared to noise jamming, it more difficult to carries out
Suppression and target identification.Therefore, Image interference is to influence one of principal element that the extreme low-altitude fighting efficiency of air defence missile plays.
Conventional image processing method is suppressed using the method for cpm signal processing, it is contemplated that capacity, signal transacting on bullet into
The factor such as this, it is high, ineffective using traditional cpm signal treatment technology, cost.
Brewster effect is found that this concept of Brewster's angle is initial in optical field by D. Brewsters earliest
From optics, for particular medium surface, there is an incidence angle, the intensity of mirror-reflection can be made most weak, referred to as Brewster
Effect.The essence of the Brewster's angle of radar derives from physical phenomenon, i.e. vertical polarization electromagnetic wave acts on dielectric surface,
During Brewster's angle, reach minimum value for ripple specularity factor.For smooth surface, Brewster Benefit Transfer is obvious, right
In rough surface, Brewster effect weakens, and shows as an angular domain.Radar seeker attacks cloth during treetop level target
This special angle of scholar is multiple scattering most weak angle when using vertical polarization, and it is anti-to form multipath by the coupling between target-environment
Signal is penetrated, has relation with target, environmental characteristics.Radar cloth scholar is utilized from the radar multiple scattering characteristic of target-environment
This special efficacy is answered, and actively extreme low-altitude Image interference suppression processing can be carried out in target seeker detection process front end, compared to tradition passively
Signal processing method, this mode require low to equipment amount, processing cost, and effect is good.
The content of the invention
It is an object of the invention to provide a kind of treetop level target Image interference suppressing method using Brewster effect,
This method is obtained with good Image interference using less signal transacting cost and suppresses income, so as to improve guided missile pair
The detection of treetop level target, tracking performance, improve the interception success rate of guided missile.
Its concrete technical scheme is：
A kind of treetop level target Image interference suppressing method using Brewster effect, comprise the following steps：
Step 1, according to treetop level target-Environmental coupling scattering mechanism, build electromagnetic simulation model, simulate different battlefield rings
The Image interference scattering strength of extreme low-altitude missile target under border；
Step 2, by Electromagnetic Simulation under different battlefield surroundings, find the Image interference Brewster's angle under varying environment,
Bound as optimal attack angle；
Step 3, carried out according to guiding parameter of the different target components to guided missile, guided missile tracking rule guiding guiding rate about
Beam and optimization design, form the attack trajectory of Brewster constraint.
Preferably, in order to establish Brewster's angle parameter optimization and compensation model in step 3, calculate first two kinds of
Ballistic trajectory, first, by missile-operation control trajectory during conventional proportional daoyin technique；Second, it is identical in other conditions such as target property,
The project trajectory of guided missile in the case where desired Brewster's angle is constraints；Then rule are changed to the difference of above two trajectory
Rule is compared, analysis difference and the ginseng such as guided missile and the relative velocity of target, point of impact distance, guided missile and target relative distance
Several relations, Brewster angle compensation is carried out to the relevant parameter during missile flight.
Further, the target component described in step 3 includes target velocity, predicted set-forward position position.
Compared with prior art, beneficial effects of the present invention：
The present invention can improve treetop level target Image interference with relatively low signal transacting cost and suppress efficiency.The present invention this
Kind mode requires low to equipment amount, processing cost, and effect is good.Table 1 gives carries out emulation experiment under a variety of battlefield surroundings,
The Image interference signal interference ratio and improvement factor of acquisition.
Emulation experiment condition：
1st, target
(1) target：Battleax guided missile
(2) object height：5m (sea), 15m (land)
(3) missile-target distance：10km (program 5km)
2nd, land
(1) environmental form：Gaussian spectrum mat surface
(2) root-mean-square height：hrms=0.01m
(3) correlation length：lx=ly=1.0m
3rd, sea
(1) environmental form：PM composes mat surface
(2) wind speed：One-level sea situation (wind speed 0.8m/s)；Two level sea situation (wind speed 2.0m/s)；Three-level sea situation (wind speed 4.4m/
s)
(3) wind direction：φv=0 °
4th, radar parameter
(1) half-power beam width θB：13°(10GHz)、4°(18GHz)
Signal interference ratio and its improvement factor at the varying environment surface Brewster's angle of table 1
Brief description of the drawings
Fig. 1 is missile-borne radar treetop level target echoing characteristics, wherein Fig. 1 (a) time domains, Fig. 1 (b) frequency domains；
Fig. 2 is four path electromagnetic simulation models；
Fig. 3 is target seeker directional diagram simulation schematic diagram；
Fig. 4 is the broad sense Brewster effect of varying environment；
Fig. 5 is Brewster effect in sea under different wind speed；
Fig. 6 is different incident frequencies Brewster effects；
Fig. 7 is the Brewster effect of different target height；
Fig. 8 is multi-path jamming and signal interference ratio under extreme low-altitude missile target difference battlefield surroundings, wherein, Fig. 8 (a) concrete rings
Border, Fig. 8 (b) dry ground environment, Fig. 8 (c) half-dried ground environment, Fig. 8 (d) Wetland Environments；
Fig. 9 is the design for adding Brewster trajectory constraints；
Figure 10 is Brewster parameter compensation scheme；
Figure 11 is Brewster optimization ballistic design；
Figure 12 is bullet mesh relative motion model in plane.
Embodiment
Technical scheme is described in more detail with specific embodiment below in conjunction with the accompanying drawings.
The first step, according to treetop level target-Environmental coupling scattering mechanism, electromagnetic simulation model is built, obtains different battlefields
The Image interference scattering strength of extreme low-altitude missile target, searches out Brewster optimal attack angle under respective environment under environment.
The multiple scattering of target-environment is mainly thought to come from the vector superposed of four paths scatter echos.
As shown in Fig. 2 the electromagnetic scattering in path 1 and propagation path are " target seeker → target → target seeker ", it is caused
Target field is designated as E1(θ1,θ1), it is once single station scattering.
The electromagnetic scattering in path 2 and propagation path are " target seeker → target → environment → target seeker ", are equivalent to " mirror image
Target seeker → mirror target → environment → target seeker ", caused scattered field is designated as ρ (θ2)E′2(π-θ4,θ2), it is a dual station
Scattering.
The electromagnetic scattering in path 3 and propagation path are " target seeker → environment → target → target seeker ", are equivalent to " mirror image
Target seeker → environment → target → target seeker ", caused scattered field is designated as ρ (θ2)E3(π-θ3,θ1), it is an EM scattering.
The electromagnetic scattering in path 4 and propagation path are " target seeker → environment → target → environment → target seeker ", equivalent
ρ is designated as scattered field caused by " target seeker → environment → mirror target → environment → target seeker "2(θ2)E′4(θ2,θ2), it is one
Secondary single station scattering.
Four path scattering models are established, consider the antenna radiation pattern of air defence missile radar seeker, such as Fig. 3, beam main lobe
Antenna radiation pattern function for Gauss shape wave beam be to possess one fixed width, if multi-path jamming directly from main lobe enter, it is detected
The influence of ability is significantly larger than the multi-path jamming entered from secondary lobe.
Mirror image formation mechenism mainly includes the primary and secondary coupling scattering of target and environment, can be retouched with four path models
State：
Slightly rough surface below target is reduced to infinity plane by four path models, it is believed that reflected energy all concentrates on
Specular reflection direction.And when surface is very coarse, diffusing reflection component will occupy an leading position.We are multiple anti-using amendment herein
Coefficient is penetrated to describe the effect of ground sea environment, expression formula is as follows
Wherein,To incide the incidence angle of mat surface, Γ is the Fresnel reflection system under horizontal or vertical limited condition
Number, ρsIt is as follows for rough surface reflection factor, expression formula
Wherein,σhFor Height Standard deviation, λ is incidence wave wavelength.
Scattered field of the note from realistic objective is E (θi,θs), the scattered field from mirror target is E ' (θi,θs)。
If the flying height of target is H, air defence missile flying height is h, and it is R to play mesh space length, plays mesh floor projection
Distance is D.Each parameter angular relationship to that indicated in the drawings is as follows
It is readily obtained by Fig. 4, multiple scattering caused by the multiple effect of target and environment is not the maximum from main lobe
It is directly entered at gain, may enters from other directions of main lobe or secondary lobe, remember the maximum of multi-path jamming direction and main lobe
Gain direction angle is Δ θ, then Δ θ=θ1-θ2.Set direction figure correction factor is ξ (Δ θ), the maximum gain direction of main lobe
Antenna gain GMB(θ)|θ=0 °=1, ξ (Δ θ) value rule are as follows
It is by revised four path models of direction image repair coefficient ξ (Δ θ)
Es=E1(θ1,θ1)+ξ(Δθ)ρ(θ2)E′2(π-θ4,θ2)+ ρ(θ2)E3(π-θ3,θ1)+ξ(Δθ)ρ2(θ2)E′4
(θ2,θ2)
E in formulasThe target echo electric field intensity received by target seeker position is represented,
Second step, by electromagnetism computation model carry out it is a variety of under the conditions of target-environment combination scattering characteristic Simulation, find not
With the Brewster's angle under environment.Brewster's angle characteristic example under partial condition given below：
Radar incidence wave is incident using vertically polarized wave, incident frequencies 10GHz, is highly 10m, ocean face wind speed is
1m/s (root-mean-square height is about 0.15 λ), ground root-mean-square height are 0.15 λ.Obtained by environment dielectric constant formula, ocean phase
To permittivity εr=50-19.8j, soil εr=11-5.4j, desert εr=3-0.072j.Now, the coupled field of varying environment
Such as Fig. 4.
Ocean and soil environment are can be seen that in Fig. 4 in 10 ° or so, desert at 30 °, the scattering strength of coupled field occurs
Acutely decline, 10-20dB reduced with angle around compared with, here it is " broad sense Brewster effect ", the angle and cloth scholar this
Special angle is consistent.The general Brewstex s angle that varying environment occurs is different, and the position of the angle is mainly relevant with dielectric constant.
By taking the face of ocean as an example, guided missile is irradiated using 10GHz vertically polarized wave, guided missile is highly 10m, changes ocean face wind
Speed, as a result as shown in Figure 5.
It can be found that the change of wind speed does not make phaopelagile general Brewstex s angle obvious skew occur.With wind speed
Increase, sea surface roughness increase, diffusing scattering strengthen, specular scattering weaken, this causes when incidence angle is more than Brewster's angle
Afterwards, coupled field starts to diminish with the increase of wind speed.When wind speed is 5m/s, and incidence angle is more than Brewster's angle, coupled field
Even less than coupled field corresponding to Brewster's angle, influence unobvious of the broad sense Brewster effect to multi-path jamming now.
It is highly 10m to set guided missile, and ocean face wind speed is 1m/s, incident with the vertically polarized wave of different frequency, acquired results such as Fig. 6.
With the rise of incident frequencies, target scattering becomes sensitive to angle change.Frequency is higher, and coupled field RCS rises and falls
Also it is more violent, but broad sense Brewster effect still be present and weakening of the high-frequency Brewster's angle to coupled field is made
With becoming apparent from.With the rise of frequency, corresponding angle also slightly reduce, frequency reduce ten times, angle change at 3 ° or so,
This is mainly that frequency rise causes the phaopelagile dielectric constant of medium to be changed.Target is high relative to the flight of mat surface
Degree also has an impact to coupled field, and it is 1m/s to take ocean face wind speed, incident using vertically polarized wave, incident frequencies 10GHz, Fig. 7
For the coupled field RCS of the airbound target of different height.
It can be seen from figure 7 that the rise of height weakens the coupling between target and environment, Strength Changes are about
5dB or so, but influenceed for coupled field corresponding to Brewster's angle smaller.It will be appreciated that object height is to Brewster effect
For, it is not the key factor influenceed.
Guided missile is observed by Brewster effect to use, and treetop level target is attacked using Brewster's angle, signal interference ratio changes
Kind degree.Simulated environment illustrates：Simulation objectives are the extreme low-altitude cruise missile of certain type, object height 15m；Environmental classes
Type is Gaussian spectrum mat surface, root-mean-square height hrms=0.01m, correlation length lx=ly=1.0m；Air defence missile and target
Space length be 5km；Target seeker half-power beam width is 5 °.Below by the ultralow air-to-air missile (AAM) under different battlefield surroundings
Multi-path jamming and signal interference ratio of the target under different battlefield surroundings carry out simulation and analysis, and it is to wipe to emulate angle of scattering used
Ditch, the polarization mode of radar wave is VV polarization.
As shown in figure 8, concrete, the Brewster's angle on half-dried, dry ground and Wetland Environment(grazing angle) is respectively
30 °, 26.5 °, 20.5 ° and 10.5 °, it can be found that with the increase of dielectric constant, corresponding Brewster's angle is to reduce
's.The sum of path 2,3,4 of extraction is multi-path jamming, as shown in figure 5, from more caused by target and environment repeatedly effect
There is minimum at Brewster's angle in footpath interference.Observation signal interference ratio curve can obtain, and believe at Brewster's angle dry
Than there is maximum, this is due to that multipath now is done when being detected with Brewster's angle to extreme low-altitude missile target
Disturb and reach minimum level, therefore signal interference ratio reaches maximum in this angle, target-echo intensity also reaches very big level.From
Simulation result can be obtained to draw a conclusion：It is extreme low-altitude that detection is regarded under air defence missile uses VV polarization modes with Brewster's angle
During target, the multi-path jamming received by target seeker is minimum, and signal interference ratio reaches maximum level, now to treetop level target
Detectivity is most strong, and target echo is the most obvious.Table 1 gives more detailed the simulation experiment result.
3rd step, according to guiding parameter of the different target components (target velocity, predicted set-forward position position etc.) to guided missile,
Guided missile tracking rule (initial segment guided missile parameter) carries out guiding the constraint of guiding rate and optimization design, according to certain optimization method
Make in grazing angle flight course as far as possible close to Brewster's angle, its scheme such as Fig. 9.
The program is in use, guidance system need not increase measurement target information on bullet, it is not necessary to which guiding device is entered
Row change, it is only necessary to bound before transmission to corresponding Brewster's angle and target initial parameter.
The key of this method is that the appropriate compensation item that can be realized using guided missile causes the grazing angle of guided missile to meet cloth as far as possible
This special angle trajectory parameter requirement of scholar, emphasis are the grazing angles in the crucial lead segment guided missile of missile flight close to Brewster's angle.
In order to establish Brewster's angle parameter optimization and compensation model, two kinds of ballistic trajectory is calculated first, first, by traditional ratio
Missile-operation control trajectory during example daoyin technique；Second, it is identical in other conditions such as target property, it is about in desired Brewster's angle
The project trajectory of guided missile under the conditions of beam.Then the difference changing rule of above two trajectory is compared, analysis difference is with leading
The relation of the parameter such as bullet and the relative velocity of target, point of impact distance, guided missile and target relative distance, to missile flight process
In relevant parameter carry out Brewster angle compensation, concrete scheme is as shown in Figure 10.
As shown in figure 11, compensated according to Brewster parameter, the trajectory collision point under the conditions of this is found, so as to design this
Under the conditions of optimization trajectory.
The Ballistic Simulation of Underwater under specific environment is carried out below according to said process.During guidance, playing mesh relative motion can
To decouple the motion for orthogonal two planes under missile coordinate system, as shown in figure 12：
According to Figure 12, missile target relative motion model is described with mathematical linguistics：
In formula, R represents to play mesh relative distance,Represent to play mesh relative velocity, vmRepresent missile velocity, vtRepresent target speed
Degree, q represent the visual line angle of bullet, θmRepresent missile flight drift angle, θtRepresent target flight drift angle.
OrderIt is substituted into above formula respectively, and the derivation simultaneously of peer-to-peer both sides can obtain：
Note
It can obtain
Understand, wRAnd wqRespectively aimed acceleration is being parallel and perpendicular to the projection in line of sight direction, uRAnd uqRespectively
The projection in line of sight direction is being parallel and perpendicular to for guided missile acceleration.
It can be obtained according to proportional navigation method formula
Make x1=q,State equation can be obtained
In formula,It is that target maneuver is caused interference volume.The key of research Brewster trajectory is to find uq,
So that the angle of sight of guided missile system is stable to make V in the range of environment Brewster's angleR＜ 0.Carry out being based on broad sense Brewster bullet
The Guidance Law Design in road, restrained rapidly by finding the suitable uq control targes angle of sight, make cloth scholar of the target along varying environment
Target of attack is gone at this special angle, and multipath effect is reduced from source to radar seeker detection, the influence of tracking target.
The first step is to carry out the selection of sliding-mode surface, it is contemplated that target will be in the broad sense cloth scholar of Finite-time convergence to environment
This special angle, so sliding-mode surface should include the information of guidance system sight angular rate of change and environment general Brewstex s angle simultaneously,
Here q is usedfRepresent environment general Brewstex s angle.Choosing sliding-mode surface is
S=x2+k|q(t)-qf|αsgn(q(t)-qf)
Wherein, 0 ＜ α ＜ 1, k ＞ 1.
Choose power Reaching Law
Wherein, λ ＞ 0,0 ＜ γ ＜ 1.
Choose Lyapunov functions
So guidance system is stable in finite time, guided missile is also just said when tracking target, the angle of sight can be limited
Environment general Brewstex s angle is adjusted in time.
Derivation can obtain
Can be in the hope of by above formula
For different background environment, emulated to designing trajectory herein.Target velocity is 300m/s, missile velocity
800m/s, by Brewster's angle result of calculation it is recognised that target for low-latitude flying, ocean face general Brewstex s angle
About at 7 ° or so, soil general Brewstex s angle is about at 17 ° or so, and desert face general Brewstex s angle is about on 30 ° of left sides
The right side, so, design it is expected that the angle of sight is respectively qf1=7 °, qf2=17 °, qf3=30 °.
Example 1：Marine environment qf=7.5 °
Example 2：Meadow environment qf=19 °
Example 3：Concrete environment qf=30 °
By calculating, when background environment is ocean, in MISSILE LAUNCHING 16.2s, the accurate interception target of guided missile, in guided missile
8s or so after transmitting, the missile target angle of sight converge to desired angle of sight qf=7 °.When background environment be meadow constantly,
During MISSILE LAUNCHING 17.2s, the accurate interception target of guided missile, 9s or so after MISSILE LAUNCHING, the missile target angle of sight converges to expectation
Angle of sight qf=17 °.When background environment is mattess, in MISSILE LAUNCHING 18.8s, the accurate interception target of guided missile,
10.5s or so after MISSILE LAUNCHING, the missile target angle of sight converge to desired angle of sight qf=30 °.Therefore, when target flies
Capable background environment changes, that is, when it is expected that the angle of sight changes, under the guidance law guiding designed herein, guided missile is all
Can be with pinpointing, and in object procedure is followed the trail of, line of sight angle can rapidly converge to the wide of background environment
Adopted Brewster's angle, meets design requirement.
The foregoing is only a preferred embodiment of the present invention, protection scope of the present invention not limited to this, any ripe
Those skilled in the art are known in the technical scope of present disclosure, the technical scheme that can be become apparent to
Simple change or equivalence replacement are each fallen within protection scope of the present invention.
Claims (3)
1. a kind of treetop level target Image interference suppressing method using Brewster effect, it is characterised in that including following step
Suddenly：
Step 1, according to treetop level target-Environmental coupling scattering mechanism, build electromagnetic simulation model, simulate under different battlefield surroundings
The Image interference scattering strength of extreme low-altitude missile target；
Step 2, by Electromagnetic Simulation under different battlefield surroundings, the Image interference Brewster's angle under varying environment is found, by it
Bound as optimal attack angle；
Step 3, according to guiding parameter of the different target components to guided missile, guided missile tracking rule guide the constraint of guiding rate with
Optimization design, form the attack trajectory of Brewster constraint.
2. the treetop level target Image interference suppressing method according to claim 1 using Brewster effect, its feature
It is, in order to establish Brewster's angle parameter optimization and compensation model in step 3, calculates two kinds of ballistic trajectory first,
First, by missile-operation control trajectory during conventional proportional daoyin technique；Second, it is identical with other conditions in target property, in desired cloth
This special angle of scholar is the project trajectory of guided missile under constraints；Then the difference changing rule of above two trajectory is compared,
The relation of the relative velocity of difference and guided missile and target, point of impact distance, guided missile and target relative distance is analyzed, to missile flight
During relevant parameter carry out Brewster angle compensation.
3. the treetop level target Image interference suppressing method according to claim 1 using Brewster effect, its feature
It is, the target component described in step 3 includes target velocity, predicted set-forward position position.
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| CN109613492B (en) * | 2018-11-27 | 2022-12-13 | 西安电子工程研究所 | Method for restraining ground flicker interference by radar seeker |
| CN111045039A (en) * | 2019-12-18 | 2020-04-21 | 中国科学院国家空间科学中心 | Method and device for measuring Brewster angle of GNSS reflected signal |
| CN111045039B (en) * | 2019-12-18 | 2021-12-07 | 中国科学院国家空间科学中心 | Method and device for measuring Brewster angle of GNSS reflected signal |
| CN113705035A (en) * | 2021-07-19 | 2021-11-26 | 江苏科技大学 | Echo signal intensity simulation optimization method for moving surface ship |
| CN113705035B (en) * | 2021-07-19 | 2023-12-05 | 江苏科技大学 | Echo signal intensity simulation optimization method for sports water surface ship |
| CN114254490A (en) * | 2021-12-07 | 2022-03-29 | 中国人民解放军空军工程大学 | Ballistic optimization design method based on Brewster constraint |
| CN114254490B (en) * | 2021-12-07 | 2023-03-10 | 中国人民解放军空军工程大学 | Ballistic optimization design method based on Brewster constraint |
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