CN109633654A - A kind of cirrus Microphysical calculation method for Terahertz radar - Google Patents

A kind of cirrus Microphysical calculation method for Terahertz radar Download PDF

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CN109633654A
CN109633654A CN201811468944.6A CN201811468944A CN109633654A CN 109633654 A CN109633654 A CN 109633654A CN 201811468944 A CN201811468944 A CN 201811468944A CN 109633654 A CN109633654 A CN 109633654A
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cirrus
microphysical
radar
inverting
ice crystals
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CN109633654B (en
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丁霞
霍熠炜
王平
王彪
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Shanghai Radio Equipment Research Institute
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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
    • G01S13/00Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
    • G01S13/88Radar or analogous systems specially adapted for specific applications
    • G01S13/95Radar or analogous systems specially adapted for specific applications for meteorological use
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02ATECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A90/00Technologies having an indirect contribution to adaptation to climate change
    • Y02A90/10Information and communication technologies [ICT] supporting adaptation to climate change, e.g. for weather forecasting or climate simulation

Abstract

The present invention provides a kind of cirrus Microphysical calculation method for Terahertz radar.The KPT Scatter performance data of Terahertz frequency range is calculated using discrete dipole method approximation method, in conjunction with cirrus ice crystals Spectral structure parameter, calculate radar reflectivity factor, establish revised forward physical model, it minimizes cost function and obtains the iterative solution to inverting parameter, with the cirrus ice crystals spectrum parameter of setting plus random error as iterative initial value, interative computation finds out the cirrus Microphysical to inverting, calculated result and the cirrus Microphysical of setting are compared, judge that method of the invention can be calculated effective for cirrus Microphysical.Method and step of the invention is simple, calculates reliably, and do not need a large amount of statistical data, has good practical application value.

Description

A kind of cirrus Microphysical calculation method for Terahertz radar
Technical field
The present invention relates to a kind of methods of cirrus Microphysical, and in particular to it is a kind of using Terahertz radar reflectivity because The method of sub- Inversion Calculation cirrus Microphysical.
Background technique
Cirrus is one of the varieties of clouds often occurred in global range, mainly by various spherical, aspherical ice crystals groups At, also referred to as ice cloud, the precision of the microscopic features such as ice crystals size, shape, Particle density, ice water content, particle spectra is straight in cloud The accuracy for influencing the description of its Radiation Characteristic is connect, observation and calculation of characteristic parameters research have very important meaning.
Cirrus due in cloud ice crystals size have higher requirements for the sensitivity of detecting devices, the milli with current mainstream Metre wave radar is compared, and Terahertz radar wavelength theoretically has higher resolving power and sensitive closer to ice cloud particle size Degree, the especially electromagnetic wave of 220GHz atmospheric window are suitable for Space-borne ice crystals and the relatively smaller high latitude of water content Regional or high empty region meteorological remote sensing detection, can be used for realizing the high-acruracy survey of ice cloud three-dimensional structure.Terahertz radar is ground System is less in the world, and Massachusetts, USA university had developed a 215GHz radar in 1988, is mainly used to study cloud and mist Feature, Battaglia etc. have inquired into the feasibility of 110-330GHz frequency range radar research cloud physics, have proposed the frequency range radar and exist Application method in cirrus characteristic detected with high accuracy.The research and development of Terahertz radar research and develop work to ice Cloud microphysical parameter inversion method New research topic is proposed, in the hope of realizing the ice cloud characteristic parameter inverting of terahertz wave band, meets cloud physics research, meteorology The demand of guarantee.
In terms of patent, the Chinese Academy of Space Technology applied a kind of ground Terahertz radar system for surveying cloud and A kind of survey mysorethorn experiment device that actively surveying radar based on Terahertz and method, while also providing and a kind of cloud actively being surveyed based on Terahertz The survey mysorethorn experiment device and method of radar, the survey mysorethorn that can be realized different polarization modes are tested, and wherein Inversion Calculation machine is to reception Cabinet treated signal carries out the inverting of cloud parameter, obtains cloud particle diameter and cloud and mist concentration information;Anhui Normal University proposes one Kind utilizes the new method of A-Train series of satellites data collaborative Retrieval of Cloud phase and cloud parameter.In the related patents retrieved In, correlative study both domestic and external is concentrated mainly on cloud detecting devices or instrument, the ice cloud characteristic parameter inverting side of terahertz wave band The patent of method is extremely rare.Paper is mostly scattering signatures and millimeter wave and THz wave of the ice crystals in Terahertz frequency range The feasibility analysis that double frequency calculates lacks the research achievement of Terahertz frequency range Cloud microphysical calculation method of parameters.
Summary of the invention
The present invention provides a kind of cirrus Microphysical calculation method for Terahertz radar.It is close using discrete dipole method The KPT Scatter performance data that Terahertz frequency range is calculated like method calculates radar reflection in conjunction with cirrus ice crystals Spectral structure parameter The rate factor establishes revised forward physical model, minimizes cost function and obtains the iterative solution to inverting parameter, with setting Cirrus ice crystals compose parameter plus random error as iterative initial value, and interative computation finds out the cirrus Microphysical ginseng to inverting Number, calculated result and the cirrus Microphysical of setting are compared, judge that method of the invention can be effective for cirrus Microphysical Parameter calculates.
In order to achieve the above objectives, a kind of cirrus Microphysical calculation method for Terahertz radar, this method it is defeated Enter for radar reflectivity factor, exports as the cirrus Microphysical to inverting, the particle geometric average including ice crystals is straight Diameter, population density and volume size distribution width, comprising the steps of:
S1, the KPT Scatter performance data that Terahertz frequency range is calculated using DDA algorithm, enable DaFor particle diameter, N (Da) For the cirrus ice crystals distribution function of setting, Dga、NTaAnd σaRespectively indicate N (Da) in particle geometric mean diameter, particle Number density and volume size distribution width, are calculated ice water content IWC in cirrusaWith cirrus Effective radius reaAnd rice Scatter radar reflectivity factor Ze_a
Radar reflectivity factor Z under S2, calculating Rayleigh scatteringRay_a, enable fa=Ze_a/ZRay_a
S3, by faAs corrected parameter, revised Terahertz frequency range cirrus particle forward physical model, y=F are established (x)=ZdB, wherein
ZRayFor the rayleigh reflectance factor, KiceFor ice dielectric constant, KliqFor water dielectric constant, x is amount to be calculated, wherein Dg、NTParticle diameter, population density and the volume size distribution width of the ice crystals to inverting are respectively indicated with σ;
S4, according to x to be calculated and priori data xaAnd 10log10Ze_aWith forward physical model value ZdBWeighted differences it With establish cost function;Cost function is minimized, the iterative formula to inverting variable is obtained;The D being arranged in S1ga、NTaAnd σa In addition random error is arranged the condition of convergence and the number of iterations upper limit, acquires cirrus Microphysical D as iterative initial valueg、NTAnd σ Inversion result;Wherein
S5, the cirrus Microphysical D according to invertingg、NTAnd σ, further calculate to obtain ice water content in the cirrus of inverting The cirrus Effective radius r of IWC and invertinge, with the IWC in step S1aAnd reaIt compares;Comparison result IWC and IWCaIt coincide, And reWith reaIt coincide, illustrates that step S1~S4 can be effectively used for the cirrus Microphysical calculating of Terahertz radar.
In step S2, pass through the radar reflectivity factor Z of the Mie scattering of calculatinge_aWith radar reflectivity under Rayleigh scattering because Sub- ZRay_aThe forward model corrected parameter f of foundationaSpecifically,
Wherein λ is the wavelength of Terahertz radar emission signal, DminAnd DmaxCirrus ice crystals diameter respectively is most Small value and maximum value, D are cirrus ice crystals diameter, σbk(D) indicate that diameter is the backscattering cross of the ice crystals of D, N It (D) is the cirrus ice crystals spectral distribution function of setting.
Compared with prior art, the present invention provides a kind of new calculating for Terahertz radar cirrus Microphysical Method.Method and step of the invention is simple, calculates reliably, and do not need a large amount of statistical data, has good practical application valence Value.
Detailed description of the invention
In order to illustrate more clearly of technical solution of the present invention, attached drawing needed in description will be made simply below It introduces, the accompanying drawings in the following description is one embodiment of the present of invention:
Fig. 1 is the flow chart of the cirrus Microphysical calculation method for Terahertz radar of the invention;
Fig. 2 is interative computation cirrus speck in the cirrus Microphysical calculation method for Terahertz radar of the invention Manage the flow chart of parameter;
Fig. 3 is the cirrus Effective radius being calculated and true cirrus Effective radius comparison chart.
Fig. 4 is ice water content and ice water content comparison chart in true cirrus in the cirrus being calculated.
Fig. 5 is the population density and true population density comparison chart being calculated.
Fig. 6 is the volume size distribution width being calculated and true particle distribution width comparison chart.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other Embodiment shall fall within the protection scope of the present invention.
We are usually using three cirrus Microphysicals: ice crystals number density, ice crystals diameter in cirrus and Ice crystals geometric mean diameter, to describe cirrus Microphysical Characteristics.The present invention, which provides, a kind of calculates cirrus Microphysical Method.The present invention utilizes the scattering signatures parameter of Terahertz frequency range ice crystals, devises cirrus Microphysical and calculates and test The detailed process of card.
As shown in Figure 1, the present invention provides a kind of cirrus Microphysical calculation method for Terahertz radar, at this In Application Example, research is cirrus Microphysical of the cirrus ice crystals under 220GHz radar, specifically includes step:
S1, Terahertz is calculated using DDA (discrete dipole method approximation method Discrete Dipole Approximation) The KPT Scatter performance data of frequency range, enables DaFor particle diameter, N (Da) it is the cirrus ice crystals distribution function set, enable Dga、 NTaAnd σaRespectively indicate N (Da) in particle geometric mean diameter, population density and volume size distribution width, ice is calculated Water content IWCaWith particle Effective radius reaAnd Mie scattering radar reflectivity factor Ze_a
Specifically include in step S1:
S11, cirrus ice crystals number is calculated using logarithm normal distribution
Wherein ln represents natural logrithm, and exp is indicated using natural constant e as the exponential function at bottom;
S12, ice water content IWC in cirrus is calculateda,
ρiceFor ice concentration coefficient;DminAnd DmaxThe respectively minimum value and maximum value of cirrus ice crystals diameter,
S13, cirrus ice crystals Effective radius r is calculatedea,
Radar reflectivity factor Z under S2, calculating Rayleigh scatteringRay_a, enable fa=Ze_a/ZRay_a;The radar reflection of Mie scattering Rate factor Ze_aWith radar reflectivity factor Z under Rayleigh scatteringRay_aSpecifically,
Wherein λ is the wavelength of Terahertz radar emission signal, σbk(D) indicate that diameter is the back scattering of the ice crystals of D Section.
S3, by faAs corrected parameter, revised Terahertz frequency range cirrus particle forward physical model, y=F are established (x)=ZdB, wherein
Dg、NTThe population density to inverting, particle geometric mean diameter and particle distribution width parameter are respectively represented with σ, KiceFor ice dielectric constant, KliqFor water dielectric constant, ZRayFor the rayleigh reflectance factor, in the present invention, by 10log10Ze_aAs ZdBTrue value.
S4, cost function indicate state vector and priori data difference and known measurement vector sum forward model value difference point The sum of weighting, enable x to be calculated as state vector, xaAs priori data, 10log10Ze_aAs known measurement vector y, F (x) it is forward model value, establishes cost function D,
Wherein, the transposition of subscript T representing matrix,
SaFor the covariance matrix of priori data, SaDiagonal element be xaVariance, SyFor systematic measurement error covariance Matrix;
Cost function D is minimized, the iterative formula to inverting variable is obtained.
In above formula, subscript k and k+1 indicate the number of iterations,Indicate kth time iteration result, matrix L represents forward physical mould Sensitivity of the type to state vector, has
By xaIn addition random error is as iterative initial valueThe setting condition of convergence and the number of iterations upper limit, operation obtain x's Iterative solution acquires cirrus Microphysical Dg、NTWith the inversion result of σ.
The condition of convergence of iteration are as follows:WhereinIt indicatesWithDifference, SxIt is iterative state The error co-variance matrix of vector, the diagonal element of the matrix are the variance of inverting parameter, and off-diagonal element is inverting parameter Between covariance;As shown in Fig. 2, then entering next round iteration when being unsatisfactory for the condition of convergence.The number of iterations upper limit refers to iteration Number is necessarily less than 20 times;When meeting the condition of convergence, if the number of iterations, less than 20 times, iteration terminates to obtain cirrus Microphysical Parameter Dg、NTWith the inversion result of σ.
S5, the cirrus Microphysical D according to invertingg、NTAnd σ, further calculate the cirrus ice water content for obtaining inverting The cirrus Effective radius r of IWC and invertinge, with the IWC in step S1aAnd reaIt compares;Comparison result IWC and IWCaIt coincide, And reWith reaIt coincide, illustrates that step S1~S4 can be effectively used for the cirrus Microphysical calculating of Terahertz radar.Such as Fig. 4, figure 5, shown in Fig. 6, ice water content, the population density being calculated in ice water content and true cirrus in the cirrus that is calculated With true population density, the volume size distribution width being calculated compared with true particle distribution width, numerical value is close, Fidelity is high, it was demonstrated that the calculation method of cirrus Microphysical of the invention is reliable.
Compared with prior art, the present invention provides a kind of new calculating for Terahertz radar cirrus Microphysical Method.Method and step of the invention is simple, calculates reliably, and do not need a large amount of statistical data, has good practical application valence Value.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any Those familiar with the art in the technical scope disclosed by the present invention, can readily occur in various equivalent modifications or replace It changes, these modifications or substitutions should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with right It is required that protection scope subject to.

Claims (2)

1. a kind of cirrus Microphysical calculation method for Terahertz radar, the input of this method be radar reflectivity because Son exports as the cirrus Microphysical to inverting, particle geometric mean diameter, population density and grain including ice crystals Sub- Spectral structure width, which is characterized in that include step:
S1, the KPT Scatter performance data that Terahertz frequency range is calculated using DDA algorithm, enable DaFor particle diameter, N (Da) it is to set Fixed cirrus ice crystals distribution function, Dga、NTaAnd σaRespectively indicate N (Da) in particle geometric mean diameter, population it is close Degree and volume size distribution width, are calculated ice water content IWC in cirrusaWith cirrus Effective radius reaAnd Mie scattering Radar reflectivity factor Ze_a
Radar reflectivity factor Z under S2, calculating Rayleigh scatteringRay_a, enable fa=Ze_a/ZRay_a
S3, by faAs corrected parameter, revised Terahertz frequency range cirrus particle forward physical model is established, y=F (x)= ZdB, wherein
ZRayFor the rayleigh reflectance factor, KiceFor ice dielectric constant, KliqFor water dielectric constant, x is amount to be calculated, wherein Dg、NT Particle diameter, population density and the volume size distribution width of the ice crystals to inverting are respectively indicated with σ;
S4, according to x to be calculated and priori data xaAnd 10log10Ze_aWith forward physical model value ZdBThe sum of weighted differences build Vertical cost function;Cost function is minimized, the iterative formula to inverting variable is obtained;The D being arranged in S1ga、NTaAnd σaIn addition Random error is arranged the condition of convergence and the number of iterations upper limit, acquires cirrus Microphysical D as iterative initial valueg、NTIt is anti-with σ Drill result;Wherein
S5, the cirrus Microphysical D according to invertingg、NTAnd σ, further calculate to obtain ice water content IWC in the cirrus of inverting With the cirrus Effective radius r of invertinge, with the IWC in step S1aAnd reaIt compares;Comparison result IWC and IWCaIt coincide, and re With reaIt coincide, illustrates that step S1~S4 can be effectively used for the cirrus Microphysical calculating of Terahertz radar.
2. being used for the cirrus Microphysical calculation method of Terahertz radar as described in claim 1, which is characterized in that step In S2, pass through the radar reflectivity factor Z of the Mie scattering of calculatinge_aWith radar reflectivity factor Z under Rayleigh scatteringRay_aIt establishes Forward model corrected parameter faSpecifically,
Wherein λ is the wavelength of Terahertz radar emission signal, DminAnd DmaxThe minimum value of cirrus ice crystals diameter respectively And maximum value, D are cirrus ice crystals diameter, σbk(D) indicate that diameter is the backscattering cross of the ice crystals of D, N (D) is The cirrus ice crystals spectral distribution function of setting.
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