CN115426758A - Undisturbed measurement device and method for plasma turbulence Reynolds coordination - Google Patents

Undisturbed measurement device and method for plasma turbulence Reynolds coordination Download PDF

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CN115426758A
CN115426758A CN202211055079.9A CN202211055079A CN115426758A CN 115426758 A CN115426758 A CN 115426758A CN 202211055079 A CN202211055079 A CN 202211055079A CN 115426758 A CN115426758 A CN 115426758A
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information
plasma
reynolds
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CN115426758B (en
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梁桉树
钟武律
肖国梁
闻杰
石中兵
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Southwestern Institute of Physics
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    • HELECTRICITY
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    • H05HPLASMA TECHNIQUE; PRODUCTION OF ACCELERATED ELECTRICALLY-CHARGED PARTICLES OR OF NEUTRONS; PRODUCTION OR ACCELERATION OF NEUTRAL MOLECULAR OR ATOMIC BEAMS
    • H05H1/00Generating plasma; Handling plasma
    • H05H1/0006Investigating plasma, e.g. measuring the degree of ionisation or the electron temperature
    • 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
    • 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
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E30/00Energy generation of nuclear origin
    • Y02E30/10Nuclear fusion reactors
    • 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
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    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
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Abstract

The application belongs to the technical field of turbulence measurement of controlled nuclear fusion plasmas, and particularly relates to an undisturbed measuring device and method for plasma turbulence Reynolds coordination, wherein disturbance to plasmas can be avoided by injecting microwaves into the plasmas. The device, comprising: the device comprises a multi-channel microwave source, a transmission unit, a demodulation unit and a calculation unit; the multi-channel microwave source transmits at least two channels of carriers to the transmission unit and the demodulation unit; the transmission unit transmits at least two carriers to the plasma to be detected to obtain at least two corresponding information waves; receiving at least two information waves and sending the information waves to a demodulation unit; the demodulation unit demodulates the self information of the detected plasma in at least two information waves according to at least two carriers to obtain at least two corresponding groups of orthogonal signals which are transmitted to the calculation unit; the calculation unit obtains radial velocity information and polar velocity information according to the at least two groups of orthogonal signals, and calculates Reynolds coordination according to the obtained radial velocity information and polar velocity information.

Description

Undisturbed measurement device and method for plasma turbulence Reynolds coordination
Technical Field
The application belongs to the technical field of turbulence measurement of controlled nuclear fusion plasmas, and particularly relates to an undisturbed measurement device and method for Reynolds coordination of the plasmas.
Background
In the controlled nuclear fusion plasma physics, plasma turbulence research is one of the most important topics. Plasma turbulence can determine the overall plasma confinement performance. In the future, the fusion reactor is expected to obtain high energy yield and economic benefit, and the confinement performance of plasma needs to be improved. Therefore, it is important to control the turbulence intensity of the plasma. It is generally believed that plasma shear flow can reduce the turbulence level, and one of the sources of shear flow is the reynolds strength of the turbulence. Therefore, after the intensity of the turbulent flow is increased, the Reynolds strength of the turbulent flow is correspondingly increased, so that the plasma shear flow is driven and enhanced, and the shear flow reversely inhibits the turbulent flow. This self-organizing self-control behavior is undoubtedly a good method of turbulence control in future fusion reactors.
Therefore, in the research of fusion plasma turbulence, the measurement of Reynolds coordination is very important. The reynolds coordination value can be derived from measuring the polar and radial velocity perturbations of the plasma turbulence itself. However, in the current experimental research, the turbulent reynolds protocol is mainly measured by the electrostatic probe, that is, the solid probe is inserted into the plasma, which will undoubtedly disturb the local plasma to be measured, and affect the real disturbance quantity value of the measurement. Therefore, a disturbance-free plasma turbulence reynolds coercion measurement technology is needed.
Disclosure of Invention
The application aims to provide a disturbance-free measuring device and method for plasma turbulence Reynolds coordination, and the problem that in the prior art, an electrostatic probe is inserted into a plasma to measure the Reynolds coordination, so that disturbance is caused to the local plasma to be measured, and the measured real disturbance quantity value is influenced is solved.
The technical scheme for realizing the purpose of the application is as follows:
the first aspect of the embodiments of this application provides a no disturbance measuring device of plasma torrent reynolds covariance, the device includes: the device comprises a multi-channel microwave source, a transmission unit, a demodulation unit and a calculation unit;
the multi-channel microwave source is respectively connected with the transmission unit and the demodulation unit, the transmission unit is connected with the detected plasma and the demodulation unit, and the demodulation unit is connected with the calculation unit;
the multichannel microwave source is used for transmitting at least two channels of carriers to the transmission unit and the demodulation unit;
the transmission unit is used for transmitting the at least two carriers to the plasma to be detected, and after the at least two carriers pass through the plasma to be detected, the at least two carriers respectively superpose the self information of the plasma to be detected to obtain at least two corresponding information waves; the demodulation unit is also used for receiving the at least two information waves and sending the information waves to the demodulation unit;
the demodulation unit is used for demodulating the self information of the detected plasma in the at least two information waves according to the at least two carriers to obtain at least two groups of corresponding orthogonal signals and transmitting the at least two groups of corresponding orthogonal signals to the calculation unit;
the calculation unit is used for obtaining radial velocity information by using a built-in correlation algorithm according to the at least two groups of orthogonal signals, obtaining polar velocity information by using a built-in phase derivation method, and calculating Reynolds co-intensity according to the obtained radial velocity information and the polar velocity information.
Optionally, the computing unit includes: the device comprises a radial velocity calculation subunit, a polar velocity calculation subunit and a Reynolds strength calculation subunit;
the radial velocity calculating subunit is used for obtaining radial velocity information according to the at least two groups of orthogonal signals by using a built-in correlation algorithm;
the polar velocity calculating subunit is used for obtaining polar velocity information by using a built-in phase derivation method according to the at least two groups of orthogonal signals;
and the Reynolds assist calculation subunit is used for calculating the Reynolds assist according to the radial speed information and the polar speed information.
Optionally, the multichannel microwave source has at least two information channels, and the information carriers are microwaves with different frequencies; the at least two carriers have different frequencies.
Optionally, the transmission unit includes: a transmitting antenna and a receiving antenna;
the transmitting antenna is used for transmitting the at least two carriers to the plasma to be tested;
the receiving antenna is used for receiving the at least two information waves and sending the information waves to the demodulation unit.
Optionally, the apparatus further includes: a data acquisition unit;
the data acquisition unit is connected with the demodulation unit and the calculation unit;
the data acquisition unit is used for storing the at least two groups of orthogonal signals;
the computing unit is used for extracting the at least two groups of orthogonal signals from the data acquisition unit.
Optionally, the multiple microwave sources have N information channels, and each two adjacent information channels respectively transmit two carriers to different spatial points of the plasma to be measured through the transmission unit, so as to calculate the reynolds coordination of (N-1) spatial points; n is an integer greater than 2.
The second aspect of the embodiment of the present application provides an undisturbed measurement method for plasma turbulence reynolds co-intensity, which is applied to any one of the undisturbed measurement devices for plasma turbulence reynolds co-intensity provided by the first aspect of the embodiment of the present application; the method comprises the following steps:
the multichannel microwave source transmits at least two channels of carriers to the transmission unit and the demodulation unit;
the transmission unit transmits the at least two carriers to the plasma to be tested; after the at least two carriers pass through the plasma to be detected, the self information of the plasma to be detected is superposed respectively to obtain at least two corresponding information waves;
the transmission unit receives the at least two information waves and sends the information waves to the demodulation unit;
the demodulation unit demodulates the self information of the detected plasma in the at least two information waves according to the at least two carriers to obtain at least two corresponding groups of orthogonal signals, and the at least two groups of orthogonal signals are transmitted to the calculation unit;
the calculation unit obtains radial speed information by using a built-in correlation algorithm and obtains polar speed information by using a built-in phase derivation method according to the at least two groups of orthogonal signals;
and the calculating unit calculates the Reynolds coordination strength according to the obtained radial speed information and the polar speed information.
Optionally, the multichannel microwave source has at least two information channels, and the information carriers are microwaves with different frequencies; the at least two carriers have different frequencies.
Optionally, the multiple microwave sources have N information channels, and each two adjacent information channels respectively transmit two carriers to different spatial points of the plasma to be detected through the transmission unit, so as to calculate the reynolds coordination of (N-1) spatial points; n is an integer greater than 2.
The beneficial technical effect of this application lies in:
the embodiment of the invention provides a disturbance-free measuring device and method for plasma turbulence Reynolds co-intensity. The microwave is injected into the plasma, so that the plasma is not disturbed, and the method is an undisturbed measurement method and can truly reflect and measure local physical quantity.
Drawings
Fig. 1 is a schematic structural diagram of an undisturbed measuring device for plasma turbulence reynolds coordination according to an embodiment of the present application;
fig. 2 is a schematic flow chart of an undisturbed measurement method for plasma turbulence reynolds coordination according to an embodiment of the present application.
Detailed Description
In order to make the technical solutions in the embodiments of the present application more comprehensible to those skilled in the art, the following description will be made in detail and completely with reference to the accompanying drawings in the embodiments of the present application. It should be apparent that the embodiments described below are only a part of the embodiments of the present application, and not all of them. All other embodiments, which can be derived by a person skilled in the art from the embodiments described herein without inventive step, are within the scope of the present application.
The embodiment of the application provides a disturbance-free measuring device and method for plasma turbulence Reynolds co-intensity, and disturbance amounts of turbulence polar velocity and radial velocity in plasma are measured mainly through a two-dimensional densely-distributed microwave Doppler system from polar direction and radial direction, so that the Reynolds co-intensity of turbulence is directly calculated. The microwave is injected into the plasma, so that the plasma is not disturbed, and the method is an undisturbed measurement method and can truly reflect and measure local physical quantity.
Based on the above, in order to clearly and specifically explain the above advantages of the present application, the following description of the embodiments of the present application will be made with reference to the accompanying drawings.
Referring to fig. 1, the drawing is a schematic structural diagram of an undisturbed measurement apparatus for plasma turbulence reynolds coordination according to an embodiment of the present application.
The utility model provides a plasma torrent reynolds is from strong undisturbed measuring device who provides includes: a multichannel microwave source 100, a transmission unit 200, a demodulation unit 300 and a calculation unit 400;
the multi-channel microwave source 100 is respectively connected with the transmission unit 200 and the demodulation unit 300, the transmission unit 200 is connected with the plasma 500 to be detected and the demodulation unit 300, and the demodulation unit 300 is connected with the calculation unit 400;
a multi-channel microwave source 100 for transmitting at least two carriers to the transmission unit 200 and the demodulation unit 300;
the transmission unit 200 is configured to transmit at least two carriers to the plasma 500 to be detected, where the at least two carriers respectively superimpose the information of the plasma 500 to be detected after passing through the plasma 500 to be detected, so as to obtain at least two corresponding information waves; and is further configured to receive at least two information waves and send them to the demodulation unit 300;
the demodulation unit 300 is configured to demodulate the self information of the detected plasma 500 in the at least two information waves according to the at least two carriers, obtain at least two corresponding sets of orthogonal signals, and transmit the at least two sets of orthogonal signals to the calculation unit 400;
and the calculating unit 400 is configured to obtain radial velocity information by using a built-in correlation algorithm according to the at least two sets of orthogonal signals, obtain polar velocity information by using a built-in phase derivation method, and calculate reynolds coordination according to the obtained radial velocity information and the polar velocity information.
It is understood that the demodulation unit 300 demodulates at least two signals carrying plasma turbulence information by the microwave signals of the multiple microwave sources 100 and the received at least two carriers.
In one example, the calculation unit 400 may calculate the reynolds strength by using the following steps.
Step 1: two adjacent groups of orthogonal signals demodulated by the selective demodulation unit 300 (I) 1 (t),Q 1 (t)) and (I) 2 (t),Q 2 (t)), the intensity of the turbulent flow is calculated separately
Figure BDA0003824684610000061
And
Figure BDA0003824684610000062
step 2: calculating x 1 (t) and x 2 (t) cross correlation function
Figure BDA0003824684610000063
Wherein E [. X [ ]]Representing the expectation for x, τ is the artificially introduced time delay.
And step 3: finding out correlation coefficient
Figure BDA0003824684610000071
Is x, i.e. is 1 (t) and x 2 (t) time delay, denoted as τ peak
And 4, step 4: the radial speed v of the turbulent flow between two channels can be calculated by dividing the radial distance d of two adjacent channels by the time delay r =d/τ peak
And 5: further calculating the radial velocityAmount of disturbance of
Figure BDA0003824684610000072
Wherein<v r >Denotes v r The balance of (2).
Step 6: then, any one of two adjacent orthogonal signals is selected (to obtain (I) 1 (t),Q 1 (t)) as an example), polar velocity information is calculated using a phase derivation method, and the phase is calculated as phi = tan -1 (Q 1 (t)/I 1 (t))。
And 7: the polar velocity is proportional to the reciprocal of the phase time, and the polar velocity v is obtained θ =k θ d φ/dt, wherein k θ Is the measured polar wave number of the turbulent flow.
And 8: relative disturbance of velocity of
Figure BDA0003824684610000073
And step 9: according to the calculated radial velocity and polar velocity information, the Reynolds assist of the turbulent flow can be obtained
Figure BDA0003824684610000074
In some possible implementations of the embodiment of the present application, the calculating unit 400 includes: a radial velocity calculation subunit 401, a polar velocity calculation subunit 402, and a reynolds strength calculation subunit 403;
a radial velocity calculation subunit 401, configured to obtain radial velocity information according to at least two sets of orthogonal signals by using a built-in correlation algorithm;
a polar velocity calculation subunit 402, configured to obtain polar velocity information by using a built-in phase derivation method according to at least two sets of orthogonal signals;
and a reynolds coordination calculation subunit 403, configured to calculate reynolds coordination according to the radial velocity information and the polar velocity information.
In one example, the multichannel microwave source has at least two information channels, and the information carriers are microwaves with different frequencies; the at least two carriers have different frequencies.
In some possible implementation manners of the embodiment of the present application, the transmission unit 200 includes: a transmitting antenna 201 and a receiving antenna 202;
a transmitting antenna 201 for transmitting at least two carriers to the plasma 500 under test;
the receiving antenna 202 is used for receiving at least two information waves and sending the information waves to the demodulating unit 300.
In some possible implementation manners of the embodiment of the present application, the apparatus further includes: a data acquisition unit 600;
the data acquisition unit 600 is connected with the demodulation unit 300 and the calculation unit 400;
a data acquisition unit 600 for storing at least two sets of orthogonal signals;
a calculating unit 400, configured to extract at least two sets of orthogonal signals from the data acquisition unit 600.
In one example, the multi-channel microwave source 100 has N information channels, and each two adjacent information channels respectively transmit two carriers to different spatial points of the plasma 500 to be measured through the transmission unit 200, so as to calculate the reynolds coordination of (N-1) spatial points; n is an integer greater than 2.
Based on the undisturbed measuring device for plasma turbulence reynolds co-intensity provided by the embodiment, the embodiment of the application further provides an undisturbed measuring method for plasma turbulence reynolds co-intensity, and the undisturbed measuring method is applied to any undisturbed measuring device for plasma turbulence reynolds co-intensity provided by the embodiment.
Referring to fig. 2, the figure is a schematic flow chart of an undisturbed measurement method for plasma turbulence reynolds coordination according to an embodiment of the present application.
The undisturbed measurement method for plasma turbulence Reynolds coordination provided by the embodiment of the application comprises the following steps:
s201: the multi-channel microwave source transmits at least two channels of carriers to the transmission unit and the demodulation unit;
s202: the transmission unit transmits at least two carriers to the plasma to be detected; after at least two carriers pass through the plasma to be detected, the self information of the plasma to be detected is respectively superposed to obtain at least two corresponding information waves;
s203: the transmission unit receives at least two information waves and sends the information waves to the demodulation unit;
s204: the demodulation unit demodulates the self information of the detected plasma in at least two information waves according to at least two carrier waves to obtain at least two corresponding groups of orthogonal signals, and the orthogonal signals are transmitted to the calculation unit;
s205: the calculation unit obtains radial speed information by using a built-in correlation algorithm and obtains polar speed information by using a built-in phase derivation method according to at least two groups of orthogonal signals;
s206: and the calculating unit calculates the Reynolds coordination strength according to the obtained radial velocity information and polar velocity information.
In one example, the multichannel microwave source has at least two information channels, and the information carriers are microwaves with different frequencies; the at least two carriers have different frequencies.
In another example, the multi-channel microwave source has N information channels, and each two adjacent information channels respectively transmit two carriers to different spatial points of the plasma to be measured through the transmission unit, so as to calculate the reynolds co-intensity of (N-1) spatial points; n is an integer greater than 2.
The present application has been described in detail with reference to the drawings and examples, but the present application is not limited to the above examples, and various changes can be made within the knowledge of those skilled in the art without departing from the spirit of the present application. The prior art can be used for all the matters not described in detail in this application.

Claims (9)

1. An undisturbed measurement device for plasma turbulence Reynolds co-intensity, the device comprising: the device comprises a multi-channel microwave source, a transmission unit, a demodulation unit and a calculation unit;
the multi-channel microwave source is respectively connected with the transmission unit and the demodulation unit, the transmission unit is connected with the detected plasma and the demodulation unit, and the demodulation unit is connected with the calculation unit;
the multichannel microwave source is used for transmitting at least two channels of carriers to the transmission unit and the demodulation unit;
the transmission unit is used for transmitting the at least two carriers to the plasma to be detected, and after the at least two carriers pass through the plasma to be detected, the at least two carriers respectively superpose the self information of the plasma to be detected to obtain at least two corresponding information waves; the demodulation unit is also used for receiving the at least two information waves and sending the information waves to the demodulation unit;
the demodulation unit is used for demodulating the self information of the detected plasma in the at least two information waves according to the at least two carriers to obtain at least two groups of corresponding orthogonal signals and transmitting the at least two groups of corresponding orthogonal signals to the calculation unit;
and the calculating unit is used for solving radial speed information by using a built-in correlation algorithm according to the at least two groups of orthogonal signals, solving polar speed information by using a built-in phase derivation method, and calculating Reynolds coordination according to the obtained radial speed information and the polar speed information.
2. The undisturbed measuring apparatus for plasma turbulence reynolds coordination according to claim 1 wherein the calculating unit includes: the device comprises a radial velocity calculation subunit, a polar velocity calculation subunit and a Reynolds strength calculation subunit;
the radial velocity calculating subunit is used for obtaining radial velocity information according to the at least two groups of orthogonal signals by using a built-in correlation algorithm;
the polar velocity calculating subunit is used for obtaining polar velocity information by using a built-in phase derivation method according to the at least two groups of orthogonal signals;
and the Reynolds assist calculation subunit is used for calculating the Reynolds assist according to the radial speed information and the polar speed information.
3. The undisturbed measurement apparatus for reynolds coordination for plasma turbulence according to claim 1 wherein the multichannel microwave source has at least two information channels and its information carriers are microwaves of different frequencies; the at least two carriers have different frequencies.
4. The undisturbed measurement apparatus for plasma turbulence reynolds coordination according to claim 1 wherein the transfer unit includes: a transmitting antenna and a receiving antenna;
the transmitting antenna is used for transmitting the at least two carriers to the plasma to be detected;
the receiving antenna is used for receiving the at least two information waves and sending the information waves to the demodulation unit.
5. The apparatus of claim 1, further comprising: a data acquisition unit;
the data acquisition unit is connected with the demodulation unit and the calculation unit;
the data acquisition unit is used for storing the at least two groups of orthogonal signals;
the computing unit is used for extracting the at least two groups of orthogonal signals from the data acquisition unit.
6. The undisturbed measuring device for plasma turbulence Reynolds co-intensity according to any one of claims 1 to 5, wherein N information channels exist in the plurality of microwave sources, and each two adjacent information channels respectively transmit two carriers to different spatial points of the plasma to be measured through the transmission unit, so as to calculate the Reynolds co-intensity of (N-1) spatial points; n is an integer greater than 2.
7. A undisturbed measurement method for plasma turbulence Reynolds coordination is characterized by being applied to the undisturbed measurement device for plasma turbulence Reynolds coordination of any one of claims 1 to 6; the method comprises the following steps:
the multichannel microwave source transmits at least two channels of carriers to the transmission unit and the demodulation unit;
the transmission unit transmits the at least two carriers to the plasma to be measured; after the at least two carriers pass through the measured plasma, the self information of the measured plasma is respectively superposed to obtain at least two corresponding information waves;
the transmission unit receives the at least two information waves and sends the information waves to the demodulation unit;
the demodulation unit demodulates the self information of the detected plasma in the at least two information waves according to the at least two carriers to obtain at least two corresponding groups of orthogonal signals, and the at least two groups of orthogonal signals are transmitted to the calculation unit;
the calculation unit obtains radial speed information by using a built-in correlation algorithm and obtains polar speed information by using a built-in phase derivation method according to the at least two groups of orthogonal signals;
and the calculating unit calculates the Reynolds coordination strength according to the obtained radial velocity information and the polar velocity information.
8. The undisturbed measurement method for Reynolds coordination of plasma turbulence according to claim 7 wherein the multichannel microwave source has at least two information channels and its information carriers are microwaves of different frequencies; the at least two carriers have different frequencies.
9. The undisturbed measurement method for Reynolds protocol of plasma turbulence according to claim 7 or 8, wherein N information channels exist in the multi-channel microwave source, and every two adjacent information channels respectively transmit two carriers to different spatial points of the plasma to be measured through the transmission unit so as to calculate the Reynolds protocol of (N-1) spatial points; n is an integer greater than 2.
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US5354017A (en) * 1990-07-09 1994-10-11 Orlev Scientific Computing, Ltd. Method for controlling turbulence
US5471115A (en) * 1993-09-16 1995-11-28 Fujitsu Limited Method and apparatus for measuring electron density of plasma
CN106054195A (en) * 2016-05-31 2016-10-26 中国民航大学 Turbulence spectrum width estimation method based on space-time optimal processor
US20210396506A1 (en) * 2020-06-23 2021-12-23 Tokyo Electron Limited Measuring device and method of obtaining thickness of sheath

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB1001104A (en) * 1962-02-15 1965-08-11 Ass Elect Ind Improvements relating to apparatus for examining plasmas
US3964306A (en) * 1973-12-12 1976-06-22 Nasa System for measuring Reynolds in a turbulently flowing fluid
US4028939A (en) * 1976-03-15 1977-06-14 Nasa System for measuring three fluctuating velocity components in a turbulently flowing fluid
US5354017A (en) * 1990-07-09 1994-10-11 Orlev Scientific Computing, Ltd. Method for controlling turbulence
US5471115A (en) * 1993-09-16 1995-11-28 Fujitsu Limited Method and apparatus for measuring electron density of plasma
CN106054195A (en) * 2016-05-31 2016-10-26 中国民航大学 Turbulence spectrum width estimation method based on space-time optimal processor
US20210396506A1 (en) * 2020-06-23 2021-12-23 Tokyo Electron Limited Measuring device and method of obtaining thickness of sheath

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