CN113608270B - Method for inverting F2 layer parameters by using front edge of inclined return ionization diagram - Google Patents
Method for inverting F2 layer parameters by using front edge of inclined return ionization diagram Download PDFInfo
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Abstract
The invention provides a method for inverting F2 layer parameters by using a slope-back ionization diagram front edge, which comprises the following steps: sequentially taking 3 groups of measurement data from the front trace of the oblique return ionization diagram according to the sequence from small frequency to large frequency, setting a set formed by all possible solutions according to ionosphere parameters of the midpoint of an oblique measurement link, randomly selecting one possible solution in the set, calculating partial differentiation of the minimum group distance and the group distance to the elevation angle according to a quasi-parabolic model, and judging the solution meeting the convergence condition according to the relation between the measurement data, the calculation data and the convergence condition; according to the method for inverting the F2 layer parameters by using the inclined return ionization diagram front edge, the F2 layer parameters from the inclined return ionization diagram front edge to the area between the inclined measurement link midpoint and the inclined measurement receiver can be obtained by inverting the inclined return ionization diagram front edge according to the ionized layer parameters of the inclined measurement link midpoint, so that the detection range of the ionized layer inclined measurement is increased, and the stability of the inclined return ionization diagram inversion result is also improved.
Description
Technical Field
The invention relates to the field of ionosphere electron concentration profile inversion, in particular to a method for inverting F2 layer parameters by using a slope return ionization diagram front edge.
Background
When high-frequency electric waves (3 MHz-30 MHz) are obliquely projected to the ionosphere, the high-frequency electric waves reach the surface of the distant earth through the reflection of the ionosphere, and the scattering effect is generated due to the uneven and electric non-uniform characteristics of the surface of the earth, so that a part of the electric wave energy is received after returning along the original path, and the radio wave propagation process is called sky wave return scattering propagation.
And under the condition of fixed azimuth angle, sweep frequency inclined return detection is carried out by utilizing a sky wave return scattering propagation mechanism, so that a three-dimensional graph of echo power, time delay and frequency, namely an inclined return ionization graph, can be obtained. The smallest group delay curve on the sloping return ionization diagram is called the leading edge. The front edge of the inclined return ionization diagram is sensitive to the concentration distribution of the ionized layer electrons, is hardly influenced by ground characteristics, antenna beams and other conditions under the condition of better signal-to-noise ratio, and can be used for inversion research of the ionized layer.
Inclinometry ionization diagrams have been widely used for ionosphere inversion studies, but they can only provide ionosphere parameters at the midpoint of the inclinometry link. Under the condition that the transmitter is shared by the inclinometry and the inclinometry return detection and the detection directions are the same, the method and the device invert the front edge of the inclinometry return ionization diagram according to the ionosphere parameter of the midpoint of the inclinometry link, so that the F2 layer parameter of the area between the midpoint of the inclinometry link and the inclinometry receiver can be obtained, the detection range of the ionosphere inclinometry is increased, and the stability of the inversion result of the inclinometry return ionization diagram is also increased.
Disclosure of Invention
The invention aims to provide a method for inverting F2 layer parameters by using a slope-back ionization diagram front edge, which aims to invert F2 layer parameters from the midpoint of a slope-measurement link to a region between a slope-measurement receiver by using the slope-back ionization diagram front edge.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
a method for inverting F2 layer parameters with a diagonal back ionization map front, comprising the steps of:
step 1: from the trace of the front edge of the oblique return ionization diagram, 3 groups of measurement data (f) are sequentially taken according to the order from small to large in frequency i ,P i ) And the frequency interval between adjacent 2 sets of data is 200kHz, wherein f i For the frequency of the electric wave, P i I=1, 2,3 for the minimum group distance measurement;
step 2: based on ionosphere parameters at the midpoint of the inclinometric link, a set S= { x (f) c ,h m ,y m ,β 1 ,β 2 ,β 3 )}，f c ,h m ,y m Critical frequency, peak height and half thickness of F2 layer between midpoint of inclinometry link and inclinometry receiver respectively, beta 1 ,β 2 ,β 3 Respectively the radio wave frequency f 1 ,f 2 ,f 3 The corresponding elevation angle of the radio wave rays;
step 3: randomly selecting a possible solution in the set Sx(f c ,h m ,y m ,β 1 ,β 2 ,β 3 ) Calculating a minimum group distance calculation value P according to a quasi-parabolic QP model xi Partial differential calculation of group distance versus elevation angle
Step 4: if the convergence condition is satisfiedAnd->Then determine this x (f c ,h m ,y m ,β 1 ,β 2 ,β 3 ) Is a solution to the set of equations; if not, repeating the steps 3 to 4 until a solution x (f) meeting the convergence condition is obtained c ,h m ,y m ,β 1 ,β 2 ,β 3 ) Where δ is the group distance resolution of the bevel back detection system.
In the step 2 described above, the step of,
critical frequency F of F2 layer c The value range of (f) is c1 -2,f c1 +2]Units: MHz;
the peak height h of the F2 layer m The value range of (2) is [ h ] m1 -30,h m1 +30]Units: km;
half thickness y of F2 layer m The value range of (2) is [ y ] m1 -30,y m1 +30]Units: km.
Wherein f c1 ,h m1 ,y m1 The critical frequency, peak height and half thickness of the F2 layer at the midpoint of the inclinometer link, respectively.
The elevation angle beta of the electric wave rays 1 ,β 2 ,β 3 The value method of (2) is as follows:
β 1 ＝deg1*3.14/180；
β 2 ＝deg2*3.14/180；
β 3 ＝deg3*3.14/180；
wherein,,
the value range of deg1 is [1, deg0+5], unit: a degree;
the value range of deg2 is [ deg1-5, deg1], unit: a degree;
the value range of deg3 is [ deg2-5, deg2], unit: a degree;
deg0 is the elevation angle corresponding to the maximum observable frequency of the F2 layer O wave of the inclinometer link, and the unit is: a degree;
deg1, deg2, deg3 are the elevation angle beta of the radio wave ray respectively 1 ,β 2 ,β 3 Corresponding angle values, units: degree.
In the step 3, a minimum group distance calculation value P is calculated xi Partial differential calculation of group distance versus elevation angleThe method of (1) is as follows:
wherein,,
r m ＝h m +r 0 ；
r b ＝r m -y m ；
F＝f i /f c ；
γ＝arccos[(r 0 /r b )cosβ i ]；
U＝B 2 -4AC；
r 0 is the earth radius;
r m the radial distance corresponding to the maximum electron concentration;
r b the radial distance corresponds to the bottom of the ionized layer;
gamma is the angle of incidence of the radio wave rays at the bottom of the ionosphere.
Compared with the prior art, the invention has the beneficial effects that:
according to the method for inverting the F2 layer parameters by using the inclined return ionization diagram front edge, the F2 layer parameters from the inclined return ionization diagram front edge to the area between the inclined measurement link midpoint and the inclined measurement receiver can be obtained by inverting the inclined return ionization diagram front edge according to the ionized layer parameters of the inclined measurement link midpoint, so that the detection range of the ionized layer inclined measurement is increased, and the stability of the inclined return ionization diagram inversion result is also improved.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the description of the embodiments or the prior art will be briefly described, and it is obvious that the drawings in the description below are some embodiments of the present invention, and other drawings can be obtained according to the drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a schematic diagram of the principle of the tilt-back detection according to the embodiment of the present invention;
FIG. 3 is a diagonal back ionization map front according to an embodiment of the present invention;
FIG. 4 is a diagram of critical frequency error for an F2 layer of an 1800km link according to an embodiment of the present invention;
FIG. 5 is a diagram of peak height error of 1800km link F2 according to an embodiment of the present invention;
fig. 6 is an error diagram of 1800km link F2 layer half thickness according to an embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made apparent and fully in view of the accompanying drawings, in which some, but not all embodiments of the invention are shown. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
As shown in fig. 1, a method for inverting parameters of an F2 layer by using a slope back ionization diagram front according to the present invention includes the following steps:
step 1: from the trace of the front edge of the oblique return ionization diagram, 3 groups of measurement data (f) are sequentially taken according to the order from small to large in frequency i ,P i ) And the frequency interval between adjacent 2 sets of data is 200kHz, wherein f i For the frequency of the electric wave, P i I=1, 2,3 for the minimum group distance measurement;
step 2: based on ionosphere parameters at the midpoint of the inclinometric link, a set S= { x (f) c ,h m ,y m ,β 1 ,β 2 ,β 3 )}，f c ,h m ,y m Critical frequency, peak height and half thickness of F2 layer between midpoint of inclinometry link and inclinometry receiver respectively, beta 1 ,β 2 ,β 3 Respectively the frequency f 1 ,f 2 ,f 3 The corresponding elevation angle of the radio wave rays;
the method specifically comprises the following steps:
critical frequency F of F2 layer c The value range of (f) is c1 -2,f c1 +2]Units: MHz; the peak height h of the F2 layer m The value range of (2) is [ h ] m1 -30,h m1 +30]Units: km; half thickness y of F2 layer m The value range of (2) is [ y ] m1 -30,y m1 +30]Units: km. Which is a kind ofIn f c1 ,h m1 ,y m1 The critical frequency, peak height and half thickness of the F2 layer at the midpoint of the inclinometer link, respectively.
The elevation angle beta of the electric wave rays 1 ,β 2 ,β 3 The value method of (2) is as follows:
β 1 ＝deg1*3.14/180
β 2 ＝deg2*3.14/180
β 3 ＝deg3*3.14/180
wherein,,
the value range of deg1 is [1, deg0+5], unit: degree.
The value range of deg2 is [ deg1-5, deg1], unit: degree.
The value range of deg3 is [ deg2-5, deg2], unit: degree.
deg0 is the elevation angle corresponding to the maximum observable frequency of the F2 layer O wave of the inclinometer link, and the unit is: a degree;
deg1, deg2, deg3 are the elevation angle beta of the radio wave ray respectively 1 ,β 2 ,β 3 Corresponding angle values, units: degree.
Step 3, randomly selecting a possible solution x (f) c ,h m ,y m ,β 1 ,β 2 ,β 3 ) Calculating a minimum group distance calculation value P according to a quasi-parabolic model (QP model) xi Partial differential calculation of group distance versus elevation angle
The specific calculation method is as follows:
wherein,,
r m ＝h m +r 0 ；
r b ＝r m -y m ；
F＝f i /f c ；
γ＝arccos[(r 0 /r b )cosβ i ]；
U＝B 2 -4AC；
r 0 is the earth radius;
r m the radial distance corresponding to the maximum electron concentration;
r b the radial distance corresponds to the bottom of the ionized layer;
gamma is the incidence angle of the radio wave rays at the bottom of the ionosphere;
f, A, B, C, U and V are variables introduced for convenient calculation and writing, and have no actual physical meaning.
Step 4, if meeting the convergence conditionAnd->Then determine this x (f c ,h m ,y m ,β 1 ,β 2 ,β 3 ) Is a solution to the set of equations; if not, repeating the steps 3 to 4 until the satisfaction is obtainedSolution of convergence condition x (f c ,h m ,y m ,β 1 ,β 2 ,β 3 ) Where δ is the group distance resolution of the bevel back detection system.
According to the method for inverting the F2 layer parameters by using the inclined return ionization diagram front edge, the F2 layer parameters from the inclined return ionization diagram front edge to the area between the inclined measurement link midpoint and the inclined measurement receiver can be obtained by inverting the inclined return ionization diagram front edge according to the ionized layer parameters of the inclined measurement link midpoint, so that the detection range of the ionized layer inclined measurement is increased, and the stability of the inclined return ionization diagram inversion result is also improved.
In order to facilitate a further understanding of the technical solution of the present invention by a person skilled in the art, the technical solution of the present invention will be further described below with specific examples:
as shown in fig. 2 to 5, in the present embodiment, the oblique measurement and the oblique return detection share a transmitter and have the same detection direction, the great circle distance between the transmitting station and the receiving station of the oblique measurement link is 1000km, and the great circle distance between the oblique return detection link is 1200 km to 1800 km.
The adopted diagonal return detection performance parameters are as follows:
detecting the initial frequency: 12MHz;
step-by-step detection frequency: 200kHz;
detection termination frequency: 20MHz;
group distance resolution δ:5km.
The true values of the F2 layer parameters employed are as follows:
critical frequency f c ：8MHz；
Peak height h m ：300km；
Half thickness y m ：90km。
As shown in table 1, in order to verify the actual effectiveness of a method for inverting parameters of an area F2 layer between a midpoint of an inclinometry link and an inclinometry receiver by using a front edge of an inclined return ionization diagram, random errors of 0-5 km are superimposed on a minimum group distance of theoretical synthesized front edge data of the inclined return ionization diagram, and 100 monte carlo tests are performed. Test results show that on different links with large circle distances of 1200-1800 km, the root mean square value of F2 layer critical frequency error is between 0.38-0.42 MHz, the root mean square value of F2 layer peak height error is between 17.13-18.79 km, and the root mean square value of F2 layer half thickness error is between 16.44-17.88; the result shows that the inversion result of the method for using the F2 layer parameters of the front edge of the inclined return ionization diagram has high precision and stability.
TABLE 1 root mean square value table of F2 layer critical frequency error on different links with large circle distance of 1200-1800 km
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some or all of the technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit of the invention.
Claims (3)
1. A method for inverting F2 layer parameters with a diagonal back ionization map front, comprising the steps of:
step 1: from the trace of the front edge of the oblique return ionization diagram, 3 groups of measurement data (f) are sequentially taken according to the order from small to large in frequency i ，P i ) And the frequency interval between adjacent 2 sets of data is 200kHz, wherein f i For the frequency of the electric wave, P i For the minimum group distance measurement value, i=1, 2,3, the inclinometry and the inclined return detection share a transmitter and the detection directions are the same;
step 2: based on ionosphere parameters at the midpoint of the inclinometric link, a set S= { x (f) c ，h m ，y m ，β 1 ，β 2 ，β 3 )}，f c ，h m ，y m Respectively, the middle point of the oblique measuring link is inclinedMeasuring critical frequency, peak height and half thickness of F2 layer in region between receivers, beta 1 ，β 2 ，β 3 Respectively the radio wave frequency f 1 ，f 2 ，f 3 The corresponding elevation angle of the radio wave rays;
step 3: randomly selecting a possible solution x (f c ，h m ，y m ，β 1 ，β 2 ，β 3 ) Calculating a minimum group distance calculation value P according to a quasi-parabolic QP model xi Partial differential calculation of group distance versus elevation angle
Step 4: if the convergence condition is satisfiedAnd->Then determine this x (f c ，h m ，y m ,β 1 ，β 2 ，β 3 ) Is a solution to the set of equations; if not, repeating the steps 3 to 4 until a solution x (f) meeting the convergence condition is obtained c ，h m ，y m ，β 1 ，β 2 ，β 3 ) Where δ is the group distance resolution of the bevel back detection system.
2. A method of inverting F2 parameters with a diagonal back-ionization map front as defined in claim 1, wherein: in the step 2 described above, the step of,
critical frequency F of F2 layer c The value range of (f) is c1 -2，f c1 +2]Units: MHz;
the peak height h of the F2 layer m The value range of (2) is [ h ] m1 -30，h m1 +30]Units: km;
half thickness y of F2 layer m The value range of (2) is [ y ] m1 -30,y m1 +30]Units: km;
wherein f c1 ，h m1 ，y m1 F2 layer critical frequency, peak height and half thickness of the middle point of the inclinometer link respectively;
the elevation angle beta of the electric wave rays 1 ，β 2 ，β 3 The value method of (2) is as follows:
β 1 ＝deg1*3.14/180；
β 2 ＝deg2*3.14/180；
β 3 ＝deg3*3.14/180；
wherein,,
the value range of deg1 is [1, deg0+5], unit: a degree;
the value range of deg2 is [ deg1-5, deg1], unit: a degree;
the value range of deg3 is [ deg2-5, deg2], unit: a degree;
deg0 is the elevation angle corresponding to the maximum observable frequency of the F2 layer 0 wave of the inclinometer link, and the unit is: a degree;
deg1, deg2, deg3 are the elevation angle beta of the radio wave ray respectively 1 ，β 2 ，β 3 Corresponding angle values, units: degree.
3. A method of inverting F2 parameters with a diagonal back-ionization map front as defined in claim 1, wherein: in the step 3, a minimum group distance calculation value P is calculated xi Partial differential calculation of group distance versus elevation angleThe method of (1) is as follows:
wherein.
r m ＝h m +r 0 ；
r b ＝r m -y m ；
F＝f i /f c ；
γ＝arccos[(r 0 /r b )cosβ i ]；
U＝B 2 -4AC；
r 0 Is the earth radius;
r m the radial distance corresponding to the maximum electron concentration;
r b the radial distance corresponds to the bottom of the ionized layer;
gamma is the angle of incidence of the radio wave rays at the bottom of the ionosphere.
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