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CN107402383B - A kind of bi-phase modulated plate and method for implementing radar frequency spectrum shift - Google Patents

A kind of bi-phase modulated plate and method for implementing radar frequency spectrum shift Download PDF

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CN107402383B
CN107402383B CN201710813771.6A CN201710813771A CN107402383B CN 107402383 B CN107402383 B CN 107402383B CN 201710813771 A CN201710813771 A CN 201710813771A CN 107402383 B CN107402383 B CN 107402383B
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CN107402383A (en
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廖希
王洋
叶志红
邵羽
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Chongqing University of Post and Telecommunications
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO 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
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/41Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section

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  • Computer Networks & Wireless Communication (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Radar Systems Or Details Thereof (AREA)

Abstract

本发明涉及无线通信领域,具体涉及一种实施雷达频谱搬移的二相调制板及方法,所述二相调制板包括频率选择表面FSS、介质间隔层和金属接地层组成;通过基于FSS设置三层可调频率反射调制板构建二相调制板;将所述FSS构建为可调电阻、电容和电感;利用动态传输线等效电路建立数学模型;根据所述数学模型研究二相调制面的频谱搬移;当二相调制面处于高阻抗和低阻抗状态时,周期时间内的平均反射系数为0,雷达反射回波的能量被搬移到边带上;其他情况下,调制板内将存在多次反射,将会改变系统的频率响应特性;本发明设计的二相调制板,能将反射回波的能量搬移到边带上,同时降低反射系数,具有良好的吸波能力。

The present invention relates to the field of wireless communication, in particular to a two-phase modulation board and a method for implementing radar spectrum shifting. The two-phase modulation board is composed of a frequency selective surface FSS, a dielectric spacer layer and a metal grounding layer; by setting three layers based on the FSS An adjustable frequency reflection modulation board is used to construct a two-phase modulation board; the FSS is constructed as an adjustable resistance, capacitance and inductance; a mathematical model is established by using a dynamic transmission line equivalent circuit; the spectrum shift of a two-phase modulation surface is studied according to the mathematical model; When the two-phase modulation surface is in the state of high impedance and low impedance, the average reflection coefficient in the cycle time is 0, and the energy of the radar reflected echo is moved to the sideband; in other cases, there will be multiple reflections in the modulation board, The frequency response characteristic of the system will be changed; the two-phase modulating board designed in the present invention can transfer the energy of the reflected echo to the sideband, reduce the reflection coefficient at the same time, and have good wave-absorbing ability.

Description

一种实施雷达频谱搬移的二相调制板及方法A two-phase modulation board and method for implementing radar spectrum shifting

技术领域technical field

本发明涉及雷达隐身领域,具体涉及一种实施雷达频谱搬移的二相调制板及方法。The invention relates to the field of radar stealth, in particular to a two-phase modulation board and a method for implementing radar spectrum shifting.

背景技术Background technique

随着雷达技术的发展,雷达的频率范围已从8-12GHz(X频段)、12-18GHz(Ku频段)扩展为2-18GHz,因此需要提出能工作在低频段高带宽的材料进而设计雷达吸波器。UHF(300MHz~3000MHz)雷达使用调制的电波和定向天线发射一束电磁能量,利用其电波波长相对较长的特点,可以探测超远距离移动目标的速度、角度等特征,被广泛应用于战略预警的陆、海、空各类探测系统中。在该频段上传播的雷达信号具有来波方向灵活、带宽较大(>20%)、极有可能采用多频点或调频、波形采用线性调频(Linear Frequency Modulation,简称LFM)等特点。UHF频段的主要威胁来源于远距离雷达系统,它们的工作方式灵活、带宽较大(>20%),并且该频段的电磁波在通常的电磁材料中传播时,电场、磁场以及波矢量方向三者间满足右手法则,且介电常数和磁导率固定、相关参数为正、具有正的折射率,因而无法灵活地改变系统的电磁特性,这对工程师在设计雷达散射截面(Radar Cross-Section,简称RCS)材料时提出了相当高的挑战。With the development of radar technology, the frequency range of radar has been extended from 8-12GHz (X frequency band) and 12-18GHz (Ku frequency band) to 2-18GHz. Therefore, it is necessary to propose materials that can work in low frequency bands and high bandwidth to design radar absorbers. oscilloscope. UHF (300MHz~3000MHz) radar uses modulated electric waves and directional antennas to emit a beam of electromagnetic energy. Using its relatively long wave wavelength, it can detect the speed, angle and other characteristics of ultra-long-distance moving targets, and is widely used in strategic early warning. In various land, sea and air detection systems. The radar signal transmitted in this frequency band has the characteristics of flexible incoming wave direction, large bandwidth (>20%), it is very likely to use multiple frequency points or frequency modulation, and the waveform adopts Linear Frequency Modulation (LFM). The main threat of the UHF frequency band comes from the long-range radar system. Their working methods are flexible and the bandwidth is large (>20%). Meet the right method between the right, and the dielectric constant and magnetic conduct rate are fixed, related parameters are positive, and have a positive refractive index, so they cannot flexibly change the electromagnetic characteristics of the system. It is referred to as RCS) Materials.

近年来,各种人工复合材料被用于制造超薄宽带雷达吸收器,其中电磁超材料成为工业界和学术界研究的热点,它是一类介电常数和磁导率可人为控制、各参量可正可负的新型人工复合电磁材料,能用于设计雷达吸波材料(Radar absorbing materials,简称RAM),而基于电磁超材料的频谱搬移是实现雷达吸波器结构设计的关键技术。利用电磁超材料电磁特性的可控性,可以设计出一种频谱反射调制板,使照射在板面上的电磁波的电磁特性改变。In recent years, various artificial composite materials have been used to manufacture ultra-thin broadband radar absorbers. Among them, electromagnetic metamaterials have become a research hotspot in industry and academia. It is a kind of dielectric constant and magnetic permeability that can be controlled artificially. A new type of artificial composite electromagnetic material that can be positive and negative can be used to design radar absorbing materials (Radar absorbing materials, referred to as RAM), and spectrum shifting based on electromagnetic metamaterials is a key technology to realize the structural design of radar absorbers. Utilizing the controllability of the electromagnetic properties of the electromagnetic metamaterial, a spectral reflection modulation plate can be designed to change the electromagnetic properties of the electromagnetic waves irradiated on the plate.

频率选择表面(Frequency selective surface,简称FSS)是一种二维周期阵列结构,可以看作是一种空间滤波器,其频率响应特性受单元尺寸大小、排布方式、介质衬底、入射角度等因素影响。文献中提出了多种基于FSS的雷达吸波器结构,例如单层电阻反射吸波器、多层金属超材料吸波器、非磁宽带雷达吸波器等。这些结构各具优劣,并且表现出不同的吸波能力,适用于特定的工作频率和工作带宽。基于FSS的反射结构可归类为有损FSSs和金属FSSs,前者通过电阻和电介质来最小化散射能量,后者用于提高工作带宽。基于FSS的雷达吸波表面一旦被设计和制造,其电磁特性将固定不变,因而不能用于复杂可变环境,更不能对大带宽、多方向、不同极化的复杂雷达信号进行频谱搬移。为了在谐振频率处对入射电磁波进行全反射或者全传输,需要用简单的等效电路实现雷达入射来波的二相调制,进而在高低阻抗动态间动态变化。Frequency selecting the surface (FSS) is a two -dimensional cycle array structure, which can be regarded as a space filter. factors. The literature proposes a variety of FSS -based radar suction structures, such as single -layer resistance reflex suctionapses, multi -layer metal super material suction vesters, non -magnetic broadband radar sucks, etc. These structures each have their own advantages and disadvantages, and they show different romance capabilities, which are suitable for specific operating frequency and working bandwidth. FSS -based reflex structures can be classified as damaged FSSS and metal FSSS. The former uses resistance and electronics to minimize scattering energy, and the latter is used to improve the working bandwidth. Once the FSS -based radar -absorbing surface is designed and manufactured, its electromagnetic characteristics will remain fixed, so it cannot be used for complex and variable environments, and it cannot be shifted to the complex bandwidth, multi -directional, and different polarized complex radar signals. In order to perform full reflection or transmission of incident electromagnetic waves at the resonance frequency, a two -phase modulation of radar incident wave waves needs to be used with simple equivalent circuits, and then dynamic changes between high and low impedance dynamic dynamic dynamic changes.

发明内容SUMMARY OF THE INVENTION

有鉴于此,本发明的目的在于克服现有技术的不足,提出了一种实施雷达频谱搬移的二相调制板及方法,包括:In view of this, the purpose of the present invention is to overcome the deficiencies in the prior art, proposes a kind of two-phase modulation board and method that implements radar spectrum shifting, including:

一种实施雷达频谱搬移的二相调制板,包括二相调制板,所述二相调制板包括频率选择表面FSS、介质间隔层和金属接地层。A two-phase modulation board for implementing radar spectrum shifting includes a two-phase modulation board, and the two-phase modulation board includes a frequency selective surface FSS, a dielectric spacer layer and a metal ground layer.

进一步的,FSS为有源阻抗层、所述介质间隔层为厚度为d的介质层、所述金属接地层为金属背板,有源阻抗层的阻抗可以随着外界的控制信号在各种阻抗状态间转换。理想情况下,可控有源层在完全透明(R=∞)和完全反射(R=0)两种状态间转换。Further, the FSS is the active impedance layer, the medium partition layer is a medium layer with a thickness of D, and the metal ground layer is a metal backplate. transition between states. Ideally, the controllable active layer is converted between two states: completely transparent (R = ∞) and complete reflection (R = 0).

进一步的,当d=λ/4时,这两种状态下的反射信号相位差为180°,其合成信号相当于二进制相位调制信号,也称为二相调制板。Further, when d=λ/4, the phase difference of the reflected signals in these two states is 180°, and the composite signal is equivalent to a binary phase modulation signal, also called a binary phase modulation board.

进一步的,阻抗可调的有源阻抗层包括可调半导体的反射振子阵列,其中,可调半导体的反射振子阵列是一种周期性的结构,则FSS的瞬态的特征阻抗根据等效电阻、电容和电感而得。Further, the active impedance layer with adjustable impedance includes a reflective oscillator array of an adjustable semiconductor, wherein the reflective oscillator array of an adjustable semiconductor is a periodic structure, then the transient characteristic impedance of the FSS is based on the equivalent resistance, Capacitance and inductance are derived.

进一步的,二相调制板构建为FSS动态传输线等效电路,设计可调的FSS阻抗和/或FSS导纳,得出二相调制面的阻抗关系。Furthermore, the two-phase modulation board is constructed as an equivalent circuit of the FSS dynamic transmission line, and the adjustable FSS impedance and/or FSS admittance are designed to obtain the impedance relationship of the two-phase modulation surface.

进一步的,FSS动态传输线等效电路还包括相位调制表面吸波材料的传输线等效电路,包括长度为d,特性导纳为Y,传播常数为β的终端短路传输线。Further, the FSS dynamic transmission line equivalent circuit also includes the transmission line equivalent circuit of the phase-modulated surface absorbing material, including a terminal short-circuit transmission line with length d, characteristic admittance Y, and propagation constant β.

本发明提出了一种采用二相调制板进行雷达频谱搬移的方法,包括:The present invention proposes a method for moving radar spectrum by using a two-phase modulation board, including:

基于FSS设置三层可调频率反射调制板构建二相调制板;Based on FSS, a three-layer adjustable frequency reflection modulation board is set to construct a two-phase modulation board;

将所述FSS构建为电阻电容和电感;constructing the FSS as a resistor capacitor and an inductor;

利用动态传输线等效电路建立数学模型;Establish a mathematical model using the equivalent circuit of a dynamic transmission line;

根据所述数学模型研究二相调制面的频谱搬移。The spectral shift of the biphasic modulation plane is studied according to the mathematical model.

进一步的,将所述频率反射调制板等效为电阻、电容和电感,包括:所述二相调制板由加载了可调半导体的反射振子阵列组成,是一种周期性结构,二相调制板的瞬态的特征阻抗可以用一组有效电阻、电容和电感来表示;Further, the frequency reflection modulation board is equivalent to resistance, capacitance and inductance, including: the two-phase modulation board is composed of a reflective oscillator array loaded with adjustable semiconductors, which is a periodic structure, and the two-phase modulation board The transient characteristic impedance of can be represented by a set of effective resistance, capacitance and inductance;

进一步的,利用动态传输线等效电路建立数学模型包括:相位调制表面吸波材料的传输线等效电路包括长度为d,特性导纳为Y,传播常数为β的终端短路传输线以及输入端的可变导纳Y(t):Further, the establishment of a mathematical model using the dynamic transmission line equivalent circuit includes: the transmission line equivalent circuit of the phase-modulated surface absorbing material includes a terminal short-circuit transmission line with a length of d, a characteristic admittance of Y, a propagation constant of β, and a variable conductance at the input Na Y(t):

其中,τ是一个周期内可变导纳Y(t)处于状态Y1的持续时间,也即是t时刻Y(t)由状态Y1转移到状态Y2;T是用来控制Y(t)状态的信号周期;Among them, τ is the duration of the variable admittance Y(t) in the state Y 1 within a period, that is, Y(t) transfers from the state Y 1 to the state Y 2 at the time t; T is used to control Y(t ) The signal cycle of the state;

所述传输线等效电路的有效阻抗为:The effective impedance of the equivalent circuit of the transmission line is:

其中,为FSS表面特征阻抗,j表示虚数单位,ω为角频率;Rs为FSS表面等效电阻,Ls为FSS表面等效电感,Cs为FSS表面等效电容,Z0表示自由空间阻抗;所述传播常数为β的介质为自由空间,β=2π/λ,λ为来信号主频率对应的波长;in, is the FSS surface characteristic impedance, j represents the imaginary number unit, ω is the angular frequency; R s is the FSS surface equivalent resistance, L s is the FSS surface equivalent inductance, C s is the FSS surface equivalent capacitance, Z 0 represents the free space impedance; The medium whose propagation constant is β is free space, β=2π/λ, and λ is the wavelength corresponding to the main frequency of the incoming signal;

对所述等效电路的有效阻抗求倒数,获得状态Y1和状态Y2相位调制表面的输入导纳,表示为:Taking the reciprocal of the effective impedance of said equivalent circuit, the input admittance of the state Y1 and state Y2 phase modulation surfaces is obtained, expressed as:

Yin1=Y1-jY0cotβdY in1 = y 1 -jy 0 cotβd

Yin2=Y2-jY0cotβdY in2 = y 2 -jy 0 cotβd

其中,Y0是自由空间的导纳,状态Y1和状态Y2下的入射端反射系数分别为:Among them, Y 0 is the admittance of free space, and the reflection coefficients of the incident end in state Y 1 and state Y 2 are respectively:

ρ1与ρ2为复数,二相调制表面在特定频率点处表现出频谱搬移性能时,在周期时间内的平均反射系数为0,即:ρ 1 and ρ 2 are complex numbers. When the two-phase modulation surface exhibits spectrum shift performance at a specific frequency point, the average reflection coefficient in the period time is 0, namely:

其中,ρ(t)为反射系数,若调制信号为一理想方波,平均反射系数可以表示为:Among them, ρ(t) is the reflection coefficient. If the modulation signal is an ideal square wave, the average reflection coefficient can be expressed as:

因而有当τ=0.5T时,则有:Therefore there is When τ = 0.5T, there are:

令d=0.25λ,λ为来波信号主频率对应的波长,此时,βd=0.5π,cotβd=0,可以进一步得到:Let d=0.25λ, λ is the wavelength corresponding to the main frequency of the incoming wave signal, at this time, βd=0.5π, cotβd=0, it can be further obtained:

把FSS的阻抗分为Z1=1/Y1,Z2=1/Y2,其对应的阻抗关系为:Divide the impedance of FSS into Z 1 =1/Y 1 , Z 2 =1/Y 2 , and the corresponding impedance relationship is:

进一步的,数学模型研究二相调制面的频谱搬移包括:根据所述动态传输线等效电路得到的高、低阻抗两个状态,对入射波进行二相恒模调制,实现对反射波的频谱搬移。Further, the mathematical model to study the spectrum shift of the two-phase modulation surface includes: according to the two states of high and low impedance obtained by the dynamic transmission line equivalent circuit, two-phase constant-mode modulation is performed on the incident wave to realize the spectrum shift of the reflected wave .

本发明设计的二相调制板,能将反射回波的能量搬移到边带上,同时降低反射系数,具有良好的吸波能力。The two-phase modulation plate designed by the invention can transfer the energy of the reflected echo to the sideband, reduce the reflection coefficient at the same time, and has good wave-absorbing ability.

附图说明Description of drawings

图1为本发明FSS三层反射调制板示意图;Fig. 1 is the schematic diagram of FSS three-layer reflective modulation plate of the present invention;

图2为本发明反射相位调制板状态示意图;Fig. 2 is a schematic diagram of the state of the reflective phase modulation plate of the present invention;

图3为本发明采用二相调制板进行雷达频谱搬移的方法流程图;Fig. 3 is the flow chart of the method for moving the radar spectrum using a two-phase modulation board in the present invention;

图4为本发明二相调制板的传输线等效电路;Fig. 4 is the equivalent circuit of the transmission line of the two-phase modulation board of the present invention;

图5为本发明理想二相调制板的反射相位及反射系数。Fig. 5 shows the reflection phase and reflection coefficient of the ideal two-phase modulation plate of the present invention.

具体实施方式Detailed ways

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to make the purpose, technical solutions and advantages of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of the present invention, and Not all examples. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

下面结合附图与具体实施例对本发明作进一步说明:Below in conjunction with accompanying drawing and specific embodiment the present invention will be further described:

本发明提出了一种实施雷达频谱搬移的二相调制板及方法,包括:The present invention proposes a two-phase modulation board and method for implementing radar spectrum shifting, including:

一种二相调制板的雷达频谱搬移的装置,包括二相调制板,所述二相调制板包括FSS、介质间隔层和金属接地层,如图1所示。A device for shifting the radar spectrum of a two-phase modulation board includes a two-phase modulation board, and the two-phase modulation board includes an FSS, a dielectric spacer layer and a metal ground layer, as shown in FIG. 1 .

进一步的,FSS为有源阻抗层、介质间隔层为厚度为d的介质层、金属接地层为金属背板,如图2所示,有源阻抗层的阻抗可以随着外界的控制信号在各种阻抗状态间转换。理想情况下,可控有源层在完全透明(R=∞)和完全反射(R=0)两种状态间转换。Furthermore, the FSS is the active impedance layer, the dielectric spacer layer is a dielectric layer with a thickness of d, and the metal ground layer is a metal backplane. As shown in Figure 2, the impedance of the active impedance layer can vary with the external control signal. switch between impedance states. Ideally, the controllable active layer switches between fully transparent (R=∞) and fully reflective (R=0) states.

进一步的,当d=λ/4时,这两种状态下的反射信号相位差为180°,其合成信号相当于二进制相位调制信号,也称为二相调制板。Further, when d=λ/4, the phase difference of the reflected signals in these two states is 180°, and the composite signal is equivalent to a binary phase modulation signal, also called a binary phase modulation board.

进一步的,当中心频率为fc的单位强度平面波垂直照射该表面时,这反射信号分别可表示为cos(2πfct)和cos(2πfct+βd),其中β=2π/λ为电磁波在介质层中的传播常数。Furthermore, when the unit intensity plane wave with the center frequency f c irradiates the surface vertically, the reflected signals can be expressed as cos(2πf c t) and cos(2πf c t+βd), where β=2π/λ is the electromagnetic wave The transmission constant in the medium layer.

进一步的,阻抗可调的有源阻抗层包括可调半导体的反射振子阵列,其中,可调半导体的反射振子阵列是一种周期性的结构,则FSS的瞬态的特征阻抗根据等效电阻、电容和电感而得。Further, the active impedance layer with adjustable impedance includes a reflective oscillator array of an adjustable semiconductor, wherein the reflective oscillator array of an adjustable semiconductor is a periodic structure, then the transient characteristic impedance of the FSS is based on the equivalent resistance, Capacitance and inductance are derived.

进一步的,二相调制板构建为FSS动态传输线等效电路,设计可调的FSS阻抗和/或FSS导纳,得出二相调制面的阻抗关系。Furthermore, the two-phase modulation board is constructed as an equivalent circuit of the FSS dynamic transmission line, and the adjustable FSS impedance and/or FSS admittance are designed to obtain the impedance relationship of the two-phase modulation surface.

一种采用二相调制板进行雷达频谱搬移的方法,如图3所示,包括:A method for moving radar spectrum using a two-phase modulation board, as shown in Figure 3, comprising:

基于FSS设置三层可调频率反射调制板构建二相调制板;Based on FSS, a three-layer adjustable frequency reflection modulation board is set to construct a two-phase modulation board;

将所述FSS等效为电阻电容和电感;The FSS is equivalent to a resistance capacitance and an inductance;

利用动态传输线等效电路建立数学模型;Establish a mathematical model using the equivalent circuit of a dynamic transmission line;

根据所述数学模型研究二相调制面的频谱搬移。The spectral shift of the biphasic modulation plane is studied according to the mathematical model.

进一步的,将所述频率反射调制板等效为电阻电容和电感包括:所述二相调制板由加载了可调半导体的反射振子阵列组成,是一种周期性结构,二相调制板瞬态的特征阻抗可以用一组有效电阻、电容和电感来表示;Further, the equivalent of the frequency reflection modulation board as a resistance capacitance and an inductance includes: the two-phase modulation board is composed of a reflective oscillator array loaded with an adjustable semiconductor, which is a periodic structure, and the transient state of the two-phase modulation board is The characteristic impedance of can be represented by a set of effective resistance, capacitance and inductance;

进一步的,利用动态传输线等效电路建立数学模型包括:相位调制表面吸波材料的传输线等效电路包括长度为d,特性导纳为Y,传播常数为β的终端短路传输线以及输入端的可变导纳Y(t),传播常数为β的介质为FSS与理想电导体PEC之间提供相位差,其中,PEC可以是一种金属背板,如图4所示:Further, the establishment of a mathematical model using the dynamic transmission line equivalent circuit includes: the transmission line equivalent circuit of the phase-modulated surface absorbing material includes a terminal short-circuit transmission line with a length of d, a characteristic admittance of Y, a propagation constant of β, and a variable conductance at the input Nano Y(t), the medium with the propagation constant β provides a phase difference between the FSS and the ideal electrical conductor PEC, where the PEC can be a metal backplane, as shown in Figure 4:

其中,τ是一个周期内可变导纳Y(t)处于状态Y1的持续时间,也即是t时刻Y(t)由状态Y1转移到状态Y2;T是用来控制Y(t)状态的信号周期;Among them, 一 is a duration of the variable guidance of Na Y (T) in the period of the state, that is, the time Y (T) is transferred from the state y 1 to the state y 2 ; T is used to control Y (T T ) ) The signal cycle of the state;

所述传输线等效电路的有效阻抗为:The effective impedance of the equivalent circuit of the transmission line is:

其中,为FSS表面特征阻抗,j表示虚数单位,ω为角频率;Rs为FSS表面等效电阻,Ls为FSS表面等效电感,Cs为FSS表面等效电容,Z0表示自由空间阻抗;所述传播常数为β的介质为自由空间,β=2π/λ,λ为来信号主频率对应的波长;in, is the FSS surface characteristic impedance, j represents the imaginary number unit, ω is the angular frequency; R s is the FSS surface equivalent resistance, L s is the FSS surface equivalent inductance, C s is the FSS surface equivalent capacitance, Z 0 represents the free space impedance; The medium whose propagation constant is β is free space, β=2π/λ, and λ is the wavelength corresponding to the main frequency of the incoming signal;

进一步的,对所述等效电路的有效阻抗求倒数,获得状态Y1和状态Y2相位调制表面的输入导纳,表示为:Further, calculate the reciprocal of the effective impedance of the equivalent circuit to obtain the input admittance of the state Y1 and state Y2 phase modulation surfaces, expressed as:

Yin1=Y1-jY0cotβdY in1 = y 1 -jy 0 cotβd

Yin2=Y2-jY0cotβdY in2 = y 2 -jy 0 cotβd

其中,Y0是自由空间的导纳,状态Y1和状态Y2下的入射端反射系数分别为:Among them, Y 0 is the admittance of free space, and the reflection coefficients of the incident end in state Y 1 and state Y 2 are respectively:

其中,状态Y1和状态Y2下的入射端反射系数幅度分别为:Among them, the magnitudes of reflection coefficients at the incident end in state Y 1 and state Y 2 are:

ρ1与ρ2为复数,二相调制表面在特定频率点处表现出频谱搬移性能时,在周期时间内的平均反射系数为0,即:ρ 1 and ρ 2 are complex numbers. When the two-phase modulation surface exhibits spectrum shift performance at a specific frequency point, the average reflection coefficient in the period time is 0, namely:

其中,ρ(t)为反射系数,若调制信号为一理想方波,平均反射系数可以表示为:Among them, ρ(t) is the reflection coefficient. If the modulation signal is an ideal square wave, the average reflection coefficient can be expressed as:

根据上式,可得到 According to the above formula, it can be obtained

进一步的,当τ=0.5T时,则有:Further, when τ=0.5T, then:

根据上式,可得到此时,βd=0.5π,cotβd=0,可以进一步得到:According to the above formula, it can be obtained At this point, βd=0.5π, cotβd=0, it can be further obtained:

令d=0.25λ,则有:Let d=0.25λ, then:

把FSS的阻抗分为Z1=1/Y1,Z2=1/Y2,其对应的阻抗关系为:Divide the impedance of FSS into Z 1 =1/Y 1 , Z 2 =1/Y 2 , and the corresponding impedance relationship is:

进一步的,在实际应用中,二相调制表面的有源阻抗层通常由PIN二极管控制的电调FSS形成。Further, in practical applications, the active impedance layer of the two -phase adjustment surface is usually formed by the electrical FSS controlled by the PIN diode.

基于设计的二相调制板,不同等效电路长度的情况下的反射特性如表1所示。Based on the designed two-phase modulation board, the reflection characteristics under different equivalent circuit lengths are shown in Table 1.

表1不同等效电路长度下的反射特性Table 1 Reflection characteristics under different equivalent circuit lengths

d=0.25λ<sub>c</sub>d=0.25λ<sub>c</sub> d≠0.25λ<sub>c</sub>d≠0.25λ<sub>c</sub> 平均反射系数average reflection coefficient 00 与cos(βd)成正比Proportional to cos(βd) 反射特性reflective properties 前段和金属背板反射Front section and metal backplane reflection 多次内部反射multiple internal reflections

进一步的,数学模型研究二相调制面的频谱搬移包括:根据所述动态传输线等效电路得到的高、低阻抗两个状态,对入射波进行二相恒模调制,实现对反射波的频谱搬移。Further, the mathematical model to study the spectrum shift of the two-phase modulation surface includes: according to the two states of high and low impedance obtained by the dynamic transmission line equivalent circuit, two-phase constant-mode modulation is performed on the incident wave to realize the spectrum shift of the reflected wave .

本发明设计的二相调制板,能将反射回波的能量搬移到边带上,同时降低反射系数,具有良好的吸波能力。The two-phase modulation plate designed by the invention can transfer the energy of the reflected echo to the sideband, reduce the reflection coefficient at the same time, and has good wave-absorbing ability.

作为一种补充方式,一般的单层调制表面只有一层有源阻抗层和一个金属背板。在一些特殊应用的情况下,例如导弹的尾翼,这种结构非常薄,而且需要屏蔽来自两个方向的入射电磁波,此时,用另外一层有源阻抗层代替金属背板将更有效。在工作时,两层有源阻抗层的阻抗都可以变化,如果控制在一段时间内,重复这个过程就可以在两个方向上实现良好的吸波性能。As a supplementary method, the general single -layer modulation surface has only one layer of active impedance layer and a metal backboard. In some special applications, such as the tail of the missile, this structure is very thin, and the incident electromagnetic waves from two directions need to be shielded. At this time, it will be more effective to replace the metal backplate with another layer of active impedance layer. At work, the impedance of the two -layer active impedance layer can change. If it is controlled for a period of time, repeat this process can achieve good suction performance in two directions.

进一步的,理想情况下,调制板的反射相位及其反射系数如图5所示,理想情况下,调制板的阻抗Z1≈0欧姆时,ρ1→-1,相位则相反;Z2≈∞欧姆时,ρ1→+1,相位则同相。此时,雷达入射波仅在频率调制表面的前端和金属背板上被反射,内部不会发生多次反射,因而在周期时间T内,平均反射系数ρaverage=0,雷达反射回波的能力被搬移到了信号的旁瓣上。当d≠0.25λ时,ρaverage与cos(βd)成正比,部分前端的入射波将进入调制板面的内部,导致多次反射,改变系统的频率响应特性。Further, ideally, the reflection phase and reflection coefficient of the modulation board are shown in Figure 5. Ideally, when the impedance Z 1 ≈0 ohm of the modulation board, ρ 1 →-1, the phase is opposite; Z 2 ≈ When ρ Om, → 1 →+1, the phase of the phase is the same. At this time, the radar incident wave is only reflected at the front end of the frequency modulation surface and the metal back plate, and multiple reflections will not occur inside. Therefore, within the cycle time T, the average reflection coefficient ρ average = 0, and the ability of the radar to reflect echoes It was moved to the side petals of the signal. When d≠0.25λ, ρ average is proportional to cos(βd), and part of the incident wave at the front end will enter the inside of the modulation plate, causing multiple reflections and changing the frequency response characteristics of the system.

进一步的,传统的反射调制板仅有一层FSS,所述FSS单层反射结构是由大量无源谐振单元组成的周期性阵列,其阻抗固定,不能随着外界的控制信号动态改变阻抗状态。传统的一层FSS虽然可以在谐振频率处对入射电磁波进行全反射或者全传输,但是无法用简单的等效电路实现,也不能动态变换反射状态。Furthermore, the traditional reflective modulation board has only one layer of FSS, and the FSS single-layer reflective structure is a periodic array composed of a large number of passive resonant units, whose impedance is fixed and cannot dynamically change the impedance state with external control signals. Although the traditional one-layer FSS can totally reflect or fully transmit the incident electromagnetic wave at the resonant frequency, it cannot be realized by a simple equivalent circuit, nor can it dynamically change the reflection state.

本发明的频率反射调制板被设计为三层结构,由加载了可调半导体的反射振子阵列组成,是一种周期性结构,其瞬态的特征阻抗可以用一组有效电阻、电容和电感来表示;无论雷达入射信号呈现什么极化方式,照射到该调制板都相当于是施加电压激励,将会产生谐振电流,此电流由反射调制板上的可调半导体控制;若极化条件合适,将形成高、低阻抗两个状态,进而对入射波进行二相恒模调制;本发明设计的二相调制板,能将反射回波的能量搬移到边带上,同时降低反射系数,具有良好的吸波能力。The frequency reflection modulation plate of the present invention is designed as a three-layer structure, which is composed of a reflective oscillator array loaded with adjustable semiconductors. It is a periodic structure, and its transient characteristic impedance can be determined by a set of effective resistance, capacitance and inductance. Said; no matter what the radar incident signal presents a polarization method, it is equivalent to applying voltage incentives to the modulation board, which will generate resonance current. This current is controlled by the adjustable semiconductor on the reflection modulation board; Form the two states of high and low impedance, and then modify the two -phase constant mode of incident waves; the two -phase adjustment board designed by the present invention can move the energy of the reflection echo to the side. At the same time, the reflection coefficient can be reduced. Absorbing ability.

所应理解的是,以上均为本发明的不同实现方式,装置实施例未描述部分可以参考方法实施例相应部分的描述,反之亦然。It should be understood that the above are all different implementation modes of the present invention, and for parts not described in the device embodiments, reference may be made to the descriptions of corresponding parts in the method embodiments, and vice versa.

本发明以上实施例对本发明的目的、技术方案和优点进行了进一步详细说明,所应理解的是,以上所举实施方式或者实施例仅为本发明的优选实施方式而已,并不用以限制本发明,凡在本发明的精神和原则之内对本发明所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above embodiments of the present invention have further described the purpose, technical solutions and advantages of the present invention in detail. It should be understood that the above-mentioned embodiments or examples are only preferred embodiments of the present invention, and are not intended to limit the present invention. , any modification, equivalent replacement, improvement, etc. made to the present invention within the spirit and principle of the present invention shall be included within the protection scope of the present invention.

Claims (4)

1. A method for carrying out radar spectrum shifting by adopting a two-phase modulation plate is characterized by comprising the following steps:
setting three layers of adjustable frequency reflection modulation plates based on the frequency selective surface FSS to construct a two-phase modulation plate;
constructing the FSS as a resistor, a capacitor and an inductor;
establishing a mathematical model by using a dynamic transmission line equivalent circuit;
carrying out frequency spectrum shifting of the two-phase modulation surface according to the mathematical model;
the method for establishing the mathematical model by using the dynamic transmission line equivalent circuit comprises the following steps that the transmission line equivalent circuit of the phase modulation surface wave-absorbing material comprises a terminal short-circuit transmission line with the length of d, the characteristic admittance of Y and the propagation constant of β, and the variable admittance of an input end Y (t):
wherein τ is the variable admittance Y (t) in state Y within one period1I.e. from state Y (t) at time Y (t)1Transition to State Y2(ii) a T is the signal period used to control the state of Y (T);
the effective impedance of the transmission line equivalent circuit is as follows:
wherein,is the FSS surface characteristic impedance, j represents the imaginary unit, ω is the angular frequency, RsIs FSS surface equivalent resistance, LsIs FSS surface equivalent inductance, CsIs FSS surface equivalent capacitance, Z0The medium with the propagation constant of β is free space, β is 2 pi/lambda, and lambda is the wavelength corresponding to the main frequency of the incoming signal;
the effective impedance of the equivalent circuit is inverted to obtain a state Y1And state Y2Input admittance to the phase modulation surface, denoted as:
Yin1=Y1-jY0cotβd
Yin2=Y2-jY0cotβd
wherein, Y0Is admittance of free space, state Y1And state Y2The following reflection coefficients at the incident end were:
ρ1and rho2Complex, mean reflection coefficient rho over a period time when the bi-phase modulation surface exhibits spectral shifting behavior at a particular frequency pointaverageIs 0, namely:
where ρ (t) is the reflection coefficient, and if the modulation signal is an ideal square wave, the average reflection coefficient ρ isaverageCan be expressed as:
when τ is 0.5T, then:
when d is 0.25 λ, there are:
dividing the impedance of FSS into Z1=1/Y1,Z2=1/Y2The corresponding impedance relationship is as follows:
2. the method for radar spectrum shifting by using the two-phase modulation board according to claim 1, wherein the setting of the three-layer adjustable frequency reflection modulation board based on the FSS to construct the two-phase modulation board comprises: the two-phase modulation board is constructed into a three-layer structure of an adjustable FSS, a medium spacing layer and a metal grounding layer.
3. The method of claim 1, wherein the equivalent of the FSS as a resistor, a capacitor, and an inductor comprises: the frequency selective surface FSS is a periodic structure whose transient characteristic impedance is represented by a set of effective resistance, capacitance and inductance.
4. The method of claim 1, wherein the performing the spectrum shifting of the two-phase modulation plane according to the mathematical model comprises: and according to the high and low impedance states obtained by the dynamic transmission line equivalent circuit, performing two-phase constant mode modulation on the incident wave of the radar to realize the frequency spectrum shifting of the reflected wave.
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