CN102801680B - Method for determining multi-carrier micro-discharging secondary electron number - Google Patents
Method for determining multi-carrier micro-discharging secondary electron number Download PDFInfo
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Abstract
The invention provides a method for determining a multi-carrier micro-discharging secondary electron number. The method comprises the following steps of: firstly, taking single-path carrier signals which have different ranges and have the minimum frequency in multi-carrier signals to be analyzed as excitation signals; calculating a secondary electron number in a microwave part to be analyzed; carrying out mathematic treatment to obtain an electron accumulating speed curve under the effect of the different excitation signals; then, taking a signal between the two adjacent zero points of a multi-carrier synthesizing signal as a calculation subinterval; equalizing multi-carrier signals in each calculation subinterval into a single-carrier signal with the minimum frequency of the multi-carrier signals with the specific range; acquiring an electron accumulating speed corresponding to an equivalent single-carrier signal range through finding out an electron accumulating speed curve; accumulating an electron number generated by the effect of the multi-carrier signals between each two adjacent zero points to obtain the electron number when each calculation subinterval is finished; and counting the corresponding result to obtain the secondary electron number in the microwave part to be analyzed when the multi-carrier synthesizing signals of the different moments act.
Description
Technical field
The present invention, in microwave regime, relates to a kind of method of definite microwave component multicarrier micro discharge secondary electron number.
Background technology
Most satellite is all operated in multi-carrier mode, and the filter of communication satellite receive-transmit system duplexer is the public passage of signal transmission, and in high resonance condition, has analysis and the design problem of the lower micro discharge of multi-carrier signal excitation.
The analysis of multicarrier micro discharge is different from the most important difference of single carrier situation and is, the amplitude of pumping signal is not constant, is along with the difference of initial phase is fast-changing in time.Number of electrons monotone variation in time not in Space Microwave parts, secondary electron accumulation curve is prone to larger shake, severe jamming the quantitative analysis of micro-discharge threshold.
The Main Basis that carries out at present the design of multicarrier micro discharge is that P20 is theoretical, adopts the equivalent voltage of signal transmission to carry out part design as single-carrier signal, and takes simple signal to carry out experimental verification.Research both domestic and external shows, based on P20 theory, exists serious parts to cross design problem, and experimental verification also just verifies whether single carrier design is reasonable.Along with the further raising of amplitude on star, and the further demand that improves load proportion in fixed platform, the micro discharge analysis of multicarrier microwave component and Miniaturization Design have been proposed to requirements at the higher level.
Summary of the invention
Technology of the present invention is dealt with problems and is: overcome the deficiencies in the prior art, a kind of method of definite multicarrier micro discharge secondary electron number is provided, can on limited sample basis, obtain the secondary electron number characteristic of any multicarrier composite signal.
Technical solution of the present invention is: a kind of method of definite multicarrier micro discharge secondary electron number, and step is as follows:
(1) employing amplitude difference but the identical single-carrier signal of frequency, as pumping signal, are calculated different excitation signal and are made the secondary electron number in used time microwave component to be analyzed; Described frequency is the minimum frequency f in multi-carrier signal to be analyzed
min, corresponding angles frequency is ω
min;
(2) secondary electron number step (1) being obtained carries out Mathematical treatment, and the corresponding relation between electron gain cumulative speed and pumping signal amplitude, obtains the electronics cumulative speed curve that different excitation signal is done the used time thus;
(3) multi-carrier signal to be analyzed is synthesized and obtains multicarrier composite signal, and discrete to carry out zero point, and since 0 moment, the time corresponding to i zero point of note multicarrier composite signal is t
i, i=0,1,2...N, t
n≤ t
s, t
sfor multicarrier micro discharge analysis time; Described multicarrier composite signal adopts expression formula
the carrier number that wherein m is multicarrier, a are described
jbe the amplitude of j road carrier wave, ω
jbe the angular frequency of j road carrier wave,
be the initial phase of j road carrier wave, j=1,2,3......m, t is time variable, V (t) is the amplitude of multicarrier composite signal;
(4) choose from time t
n-1to t
nmulticarrier composite signal between two zero points, n=1,2...N, by t
n-1to t
nit is ω that number of electrons cumulative effect in time under the effect of multicarrier composite signal is equivalent to an angular frequency
minsingle-carrier signal V
nsin (ω
mint) exercising result in the time at T/2, obtains the amplitude V of equivalent single-carrier signal thus
n, T is equivalent single-carrier signal V
nsin (ω
mint) cycle;
(5) interval for chronon between every two zero points, utilize the amplitude V of the equivalent single-carrier signal that step (4) obtains
n, on the electronics cumulative speed curve obtaining in step (2), search, obtain the amplitude V with equivalent single-carrier signal
ncorresponding electronics cumulative speed v
n, obtain thus number of electrons F when each chronon is interval to be finished
nmeet φ (F
n)=φ (F
n-1)+v
nt/2, wherein F
n-1number of electrons while starting for chronon is interval, F
nnumber of electrons while finishing for chronon is interval, φ is the Mathematical treatment function in step (2);
(6) result of step (5) is added up, obtain thus microwave component to be analyzed and encourage t of lower time at multicarrier composite signal
itime secondary electron number F
i, i=0,1,2...N.
Described equivalent single-carrier signal at T/2 the energy in the time equate with the energy of multi-carrier signal in calculating subinterval or signal amplitude equal to the integration of time.
The amplitude V of described equivalent single-carrier signal
ncorresponding electronics cumulative speed v
nby interpolation, obtain described initiating electron number F
0for being greater than 0 integer.
Described Mathematical treatment is for asking for electronics cumulative number object logarithm.
The present invention's advantage is compared with prior art: it is basis that the inventive method be take the lower secondary electron accumulation curve of single-carrier signal excitation, adopt single-carrier signal to be similar to multi-carrier signal in the same time not, carry out the cumulative analysis of secondary electron, thereby obtain the secondary electron number under the excitation of particular phases multi-carrier signal, can be used for analyzing microwave component multicarrier micro-discharge threshold.Utilize the inventive method, can obtain fast number of electrons accumulation curve in multi-carrier signal excitation microwave component, multicarrier microwave component micro discharge worst-status cannot be determined at present, microwave component extensively exists micro discharge to cross design problem, the invention provides definite method of number of electrons in the lower microwave component of multi-carrier signal excitation, on limited sample basis, can obtain the number of electrons characteristic of any multicarrier composite signal, solve the problem that micro discharge worst-status is analyzed, had actual application value.
Accompanying drawing explanation
Fig. 1 is the FB(flow block) of the inventive method;
Fig. 2 is the simulation object schematic diagram in the embodiment of the present invention;
Fig. 3 is number of electrons when different amplitude single-carrier signal encourage in the embodiment of the present invention;
Fig. 4 is number of electrons (logarithmic form) when different amplitude single-carrier signal encourage in the embodiment of the present invention;
Fig. 5 is the rate of rise of electronics during different amplitude in the embodiment of the present invention;
Fig. 6 is the multicarrier composite signal schematic diagram that in the embodiment of the present invention, PHASE DISTRIBUTION is [0 °, 75 °, 150 °, 75 °, 0 °];
Fig. 7 is the particle simulation result and the result comparison diagram that adopts the inventive method to obtain when PHASE DISTRIBUTION is for [0 °, 75 °, 150 °, 75 °, 0 °] multi-carrier signal excitation in the embodiment of the present invention.
Embodiment
As shown in Figure 1, be the flow chart of the inventive method, its key step is as follows:
(1) for structure to be analyzed (arbitrary shape microwave component), adopt the minimum frequency in multicarrier to be analyzed, the single-carrier signal of different amplitudes of usining is carried out particle simulation (PIC Particle-in-cell) or approximate calculation as pumping signal, obtains the secondary electron number under different amplitude single-carrier signal excitations.
(2) secondary electron number step (1) being obtained adopts Mathematical treatment (as logarithm process), electron gain cumulative speed and single-carrier signal amplitude v
nbetween relation.
(3) when unlike signal amplitude single-carrier signal is encouraged, the cumulative speed of electronics is added up, the electronics cumulative speed curve while obtaining different single-carrier signal amplitude.
(4) multicarrier composite signal is
the carrier number that wherein m is multicarrier, a
jbe the amplitude of j road carrier wave, ω
jbe the angular frequency of j road carrier wave,
be the initial phase of j road carrier wave, j=1,2,3......m, will synthesize multi-carrier signal discrete to carry out zero point, and since 0 moment, the time corresponding to i zero point of note multicarrier composite signal is t
i, i=0,1,2...N, N meets t
n≤ t
s, t
sfor multicarrier micro discharge analysis time, adopt following steps to superpose:
(4.1) n=1; The initiating electron number of setting for 0 moment is F
0(being greater than 0 arbitrary integer);
(4.2) t
n-1number of electrons is F constantly
n-1, for time t
n-1to t
ninterior multicarrier composite signal, determines its single-carrier signal sin (ω
mint) equivalent amplitude V
n;
(4.3) by time t
n-1to t
nthe equivalent amplitude V of interior multi-carrier signal
nas single-carrier signal amplitude, at step (3) gained electronics cumulative speed curve, check in corresponding electronics cumulative speed v
n, t constantly
nnumber of electrons F
nmeet φ (F
n)=φ (F
n-1)+v
nt/2, wherein T is single-carrier signal sin (ω
mint) in cycle, record is the number of electrons F of n constantly
n;
(4.4) n=n+1 forwards step (5) to when n >=N, otherwise proceed to (4.2), circulates;
(5) to institute's length analysis time, be t
smulticarrier composite signal, can obtain time t in microwave component
itime secondary electron number F
i, i=0,1,2...N.
Embodiment
(1) for 1mm thickness parallel plate structure as shown in Figure 2, adopt 5 road carrier waves to implement, 5 tunnel carrier frequencies are respectively f1=1GHz, f2=1.04GHz, f3=1.08GHz, f4=1.12GHz and f5=1.16GHz, carrier amplitude a
1=a
2=a
3=a
4=a
5=18V, the initial phase of 5 road carrier waves is respectively
minimum frequency f wherein
min=1GHz, the single-carrier signal of different amplitudes of usining is carried out particle simulation (PIC Particle-in-cell) as pumping signal, obtains the lower electronics of different amplitude single-carrier signal excitations and accumulates number.Simulation result as shown in Figure 3.
(2) number of electrons obtaining for the first step adopts Mathematical treatment, and electron gain number is trend over time.Here mathematical function is specially φ (F
n)=log10 (F
n).As shown in Figure 4, can electron gain cumulative speed and signal amplitude v
nbetween relation.
(3) cumulative speed of electronics under unlike signal amplitude is added up, obtained electronics cumulative speed curve under different amplitudes.For 1mm thickness parallel-plate structure above, single carrier is f
mintime, under different single carrier amplitudes, corresponding electronics cumulative speed is as shown in Figure 5.The longitudinal axis represents cumulative speed, and transverse axis is single-carrier signal amplitude, and when speed is negative, the number of electrons in parallel-plate reduces; Speed is timing, and the number of electrons in parallel-plate structure will increase.
(4) pass through
obtain multicarrier composite signal, m=5 wherein, a
jbe the amplitude of j road carrier wave, ω
j=2 π f
jbe the angular frequency of j road carrier wave,
be the initial phase of j road carrier wave, j=1,2,3......m, will synthesize multi-carrier signal discrete to carry out zero point, and since 0 moment, the time corresponding to i zero point of note multicarrier composite signal is t
i, i=0,1,2...N, N meets t
n≤ t
s, t
s=50ns, adopts following steps to superpose:
(4.1) initialization n=1, initiating electron number F
0=1000
(4.2) t
n-1number of electrons is F constantly
n-1.For time t
n-1to t
nin, definition
if the voltage amplitude of equivalent single-carrier signal is V
n, the amplitude of equivalent single-carrier signal should meet:
equivalent voltage is V
n=P
nω
min/ 2, adopt signal amplitude to come equivalent to the integration of time here.
(4.3) by time t
n-1to t
ninterior signal equivalence amplitude, as single carrier amplitude, checks in now corresponding electronics cumulative speed v at step (3) gained electronics cumulative speed curve
n, constantly number of electrons during n is F
nmeet log
10(F
n)=log
10(F
n-1)+(v
n* T/2).
(4.4) n=n+1 forwards step (5) to when n >=N, otherwise proceed to (4.2), circulates;
(5) obtain time t
itime electronics accumulation number F
i, i=0,1,2...N.
In the computer memory microwave component that employing the present invention proposes, the computational methods of secondary electron number can obtain the lower electronics accumulation of unlike signal excitation number fast, Fig. 6 is the multicarrier composite signal in the present embodiment, transverse axis is the time, the amplitude that the longitudinal axis is composite signal, and generated time is 50ns; Fig. 7 is that initial phase is [0 °, 75 °, 150 °, 75 °, 0 °] multicarrier composite signal when excitation, adopts gained secondary electron number of the present invention (approximate calculation result in figure) consistent with the number (simulation result in figure) of employing particle simulation emulation acquisition, transverse axis is the time, the longitudinal axis is for adopting the secondary electron number of logarithm process, multicarrier micro discharge t analysis time
s=50ns.Relatively can find out secondary electron number in microwave component when the inventive method can be determined multi-carrier signal excitation.
The content not being described in detail in specification of the present invention belongs to those skilled in the art's known technology.
Claims (3)
1. a method for definite multicarrier micro discharge secondary electron number, is characterized in that step is as follows:
(1) employing amplitude difference but the identical single-carrier signal of frequency, as pumping signal, are calculated different excitation signal and are made the secondary electron number in used time microwave component to be analyzed; Described frequency is the minimum frequency f in multi-carrier signal to be analyzed
min, corresponding angles frequency is ω
min;
(2) secondary electron number step (1) being obtained carries out logarithm process, and the corresponding relation between electron gain cumulative speed and pumping signal amplitude, obtains the electronics cumulative speed curve that different excitation signal is done the used time thus;
(3) multi-carrier signal to be analyzed is synthesized and obtains multicarrier composite signal, and discrete to carry out zero point, and since 0 moment, the time corresponding to i zero point of note multicarrier composite signal is t
i, i=0,1,2 ... N, t
n≤ t
s, t
sfor multicarrier micro discharge analysis time; Described multicarrier composite signal adopts expression formula
the carrier number that wherein m is multicarrier, a are described
jbe the amplitude of j road carrier wave, ω
jbe the angular frequency of j road carrier wave,
be the initial phase of j road carrier wave, j=1,2,3......m, t is time variable, V (t) is the amplitude of multicarrier composite signal;
(4) choose from time t
n-1to t
nmulticarrier composite signal between two zero points, n=1,2 ... N, by t
n-1to t
nit is ω that number of electrons cumulative effect in time under the effect of multicarrier composite signal is equivalent to an angular frequency
minsingle-carrier signal V
nsin (ω
mint) exercising result in the time at T/2, obtains the amplitude V of equivalent single-carrier signal thus
n, T is equivalent single-carrier signal V
nsin (ω
mint) cycle;
(5) interval for chronon between every two zero points, utilize the amplitude V of the equivalent single-carrier signal that step (4) obtains
n, on the electronics cumulative speed curve obtaining in step (2), search, obtain the amplitude V with equivalent single-carrier signal
ncorresponding electronics cumulative speed v
n, obtain thus number of electrons F when each chronon is interval to be finished
nmeet φ (F
n)=φ (F
n-1)+v
nt/2, wherein F
n-1number of electrons while starting for chronon is interval, F
nnumber of electrons while finishing for chronon is interval, φ is the Mathematical treatment function in step (2);
(6) result of step (5) is added up, obtain thus microwave component to be analyzed and encourage t of lower time at multicarrier composite signal
itime secondary electron number F
i, i=0,1,2 ... N.
2. the method for a kind of definite multicarrier micro discharge secondary electron number according to claim 1, is characterized in that: described equivalent single-carrier signal at T/2 the energy in the time equate with the energy of multi-carrier signal in calculating subinterval or signal amplitude equal to the integration of time.
3. the method for a kind of definite multicarrier micro discharge secondary electron number according to claim 1, is characterized in that: the amplitude V of described equivalent single-carrier signal
ncorresponding electronics cumulative speed v
nby interpolation, obtain initiating electron number F
0for being greater than 0 integer.
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| CN104091050B (en) * | 2014-06-24 | 2017-01-11 | 西安空间无线电技术研究所 | Method for determining number of multi-carrier microdischarge secondary electrons distributed in inhomogeneous field |
| CN105069206B (en) * | 2015-07-24 | 2018-01-05 | 西安空间无线电技术研究所 | A kind of method for the passive intermodulation product for determining microwave component |
| CN105069247B (en) * | 2015-08-21 | 2018-05-01 | 西安空间无线电技术研究所 | A kind of microwave component passive intermodulation numerical analysis method based on Fdtd Method |
| CN105072076B (en) * | 2015-08-21 | 2018-06-01 | 西安空间无线电技术研究所 | A kind of method of definite microwave component multicarrier micro discharge worst-status |
| US10416218B2 (en) * | 2017-01-31 | 2019-09-17 | Rohde & Schwarz Gmbh & Co. Kg | Testing system for performing multipaction tests on a device under test as well as a method for testing a device under test |
| CN111487464B (en) * | 2020-04-29 | 2022-02-01 | 华南师范大学 | Multi-carrier micro-discharge effect frequency spectrum characteristic analysis method |
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