Microwave resonator probe diagnoctics of plasma density fluctuations
The unique diagnostics of the low frequency waves excited in magnetoplasma was tested on large “Krot” device. Method is based on measuring the resonance curve frequency and amplitude modulation of a tiny double-wire probe caused by plasma density variations. Depending on the operating point position...
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irk-123456789-1105772017-01-05T03:04:56Z Microwave resonator probe diagnoctics of plasma density fluctuations Kostrov, A.V. Smirnov, A.I. Strikovsky, A.V. Yanin, D.V. Plasma diagnostics The unique diagnostics of the low frequency waves excited in magnetoplasma was tested on large “Krot” device. Method is based on measuring the resonance curve frequency and amplitude modulation of a tiny double-wire probe caused by plasma density variations. Depending on the operating point position at the probe resonance characteristic we can measure density fluctuations down to δn/n ≤ 10⁻⁵. The possibility of harmonic and non-periodic density perturbation measurements is shown in experiments. We also demonstrate the possibility of using the resonator probe as a noninvasive medical tool to diagnose the pathologies and diseases accompanied by changes in tissue complex dielectric coefficient. На експериментальному стенді «Крот» реалізована оригінальна діагностика амплітуди низькочастотних хвиль, порушуваних у замагніченій плазмі. Метод заснований на вимірі частоти й амплітуди модуляції резонансної частоти мініатюрного дротового резонатора, що викликаються флуктуацією густини плазми. Виміряються флуктуації густини порядку δn/n ≤ 10⁻⁵. Продемонстровано можливість застосування резонансної системи для діагностики не тільки плазми, але і довільних діелектричних середовищ без порушення їхньої цілісності. Аналізуються такі питання, як глибина зондування, можливість визначення просторових і електродинамічних характеристик неоднорідностей. Демонструється можливість застосування методики в медицині. На експериментальному стенді «Крот» реалізована оригінальна діагностика амплітуди низькочастотних хвиль, порушуваних у замагніченій плазмі. Метод заснований на вимірі частоти й амплітуди модуляції резонансної частоти мініатюрного дротового резонатора, що викликаються флуктуацією густини плазми. Виміряються флуктуації густини порядку δn/n ≤ 10⁻⁵. Продемонстровано можливість застосування резонансної системи для діагностики не тільки плазми, але і довільних діелектричних середовищ без порушення їхньої цілісності. Аналізуються такі питання, як глибина зондування, можливість визначення просторових і електродинамічних характеристик неоднорідностей. Демонструється можливість застосування методики в медицині. 2007 Article Microwave resonator probe diagnoctics of plasma density fluctuations/ A.V. Kostrov, A.I. Smirnov, A.V. Strikovsky, D.V. Yanin // Вопросы атомной науки и техники. — 2007. — № 1. — С. 209-211. — Бібліогр.: 6 назв. — англ. 1562-6016 PACS: 52.70.-m. http://dspace.nbuv.gov.ua/handle/123456789/110577 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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Plasma diagnostics Plasma diagnostics Kostrov, A.V. Smirnov, A.I. Strikovsky, A.V. Yanin, D.V. Microwave resonator probe diagnoctics of plasma density fluctuations Вопросы атомной науки и техники |
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The unique diagnostics of the low frequency waves excited in magnetoplasma was tested on large “Krot” device. Method is based on measuring the resonance curve frequency and amplitude modulation of a tiny double-wire probe caused by plasma density variations. Depending on the operating point position at the probe resonance characteristic we can measure density fluctuations down to δn/n ≤ 10⁻⁵. The possibility of harmonic and non-periodic density perturbation measurements is shown in experiments. We also demonstrate the possibility of using the resonator probe as a noninvasive medical tool to diagnose the pathologies and diseases accompanied by changes in tissue complex dielectric coefficient. |
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Kostrov, A.V. Smirnov, A.I. Strikovsky, A.V. Yanin, D.V. |
author_facet |
Kostrov, A.V. Smirnov, A.I. Strikovsky, A.V. Yanin, D.V. |
author_sort |
Kostrov, A.V. |
title |
Microwave resonator probe diagnoctics of plasma density fluctuations |
title_short |
Microwave resonator probe diagnoctics of plasma density fluctuations |
title_full |
Microwave resonator probe diagnoctics of plasma density fluctuations |
title_fullStr |
Microwave resonator probe diagnoctics of plasma density fluctuations |
title_full_unstemmed |
Microwave resonator probe diagnoctics of plasma density fluctuations |
title_sort |
microwave resonator probe diagnoctics of plasma density fluctuations |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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2007 |
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Plasma diagnostics |
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http://dspace.nbuv.gov.ua/handle/123456789/110577 |
citation_txt |
Microwave resonator probe diagnoctics of plasma density fluctuations/ A.V. Kostrov, A.I. Smirnov, A.V. Strikovsky, D.V. Yanin // Вопросы атомной науки и техники. — 2007. — № 1. — С. 209-211. — Бібліогр.: 6 назв. — англ. |
series |
Вопросы атомной науки и техники |
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first_indexed |
2025-07-08T00:48:19Z |
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2025-07-08T00:48:19Z |
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1837037729753333760 |
fulltext |
Problems of Atomic Science and Technology. 2007, 1. Series: Plasma Physics (13), p. 209-211 209
MICROWAVE RESONATOR PROBE DIAGNOSTICS
OF PLASMA DENSITY FLUCTUATIONS
A.V. Kostrov, A.I. Smirnov, A.V. Strikovsky, D.V. Yanin
Institute of Applied Physics of RAS, Nizhny Novgorod, Russia, e-mail: strik@appl.sci-nnov.ru
The unique diagnostics of the low frequency waves excited in magnetoplasma was tested on large “Krot” device. Method
is based on measuring the resonance curve frequency and amplitude modulation of a tiny double-wire probe caused by plasma
density variations. Depending on the operating point position at the probe resonance characteristic we can measure density
fluctuations down to δn/n ≤ 10 - 5. The possibility of harmonic and non-periodic density perturbation measurements is shown in
experiments. We also demonstrate the possibility of using the resonator probe as a noninvasive medical tool to diagnose the
pathologies and diseases accompanied by changes in tissue complex dielectric coefficient.
PACS: 52.70.-m.
1. INTRODUCTION
The resonant devices with distributed electrodynamics
parameters are widely used in microwave probing of ma-
terials. [1]. The insertion of the tested material into the
electromagnetic field of device (or probe) leads to probe
resonance curve modification (central frequency shifting
and Q-factor changing). The dielectric and magnetic
properties of the medium under study can be analyzed
using the parameters of such modifications. The simplest
microwave resonator represents a double-wire section.
Various probes designed using this basic element are of-
ten utilized for artificial and natural materials diagnostics
The microwave resonator probe of the double-wire
section is successfully used for localized plasma density
measurements and its variations detection [2]. In contrary
to the conventional Langmuir electrostatic probes, the
results of microwave resonator probe measurements in a
linear mode are determined only by plasma density, and
not affected by electron temperature value. In [3] the
nonlinear effects are studied, which are caused by pon-
deromotive action of the electric fields on the plasma par-
ticles surrounding the probe tips. In particular, it was
shown that the probe operated in a non-linear mode could
be used for electron temperature measurements.
In present paper the microwave resonator probe
properties are studied in the context of diagnosing the
non-stationary processes in a magnetoplasma, which are
accompanied by weak plasma density perturbations
caused by electrostatic fields excitation. We have studied
the spatial distribution of non-stationary electron density
variations, caused by loop antenna action in the low-
hybrid frequency range; experimental data were compared
with the numerical results. Also the plasma density oscil-
lations in an area of intense low-hybrid wave interaction
with plasma were observed.
2. EXPERIMENTAL ARRANGEMENT AND
MEASUREMENT TECHNIQUE
The experiments, in which the microwave resonator
probe was used for quasiperiodic plasma density perturba-
tions measurements, were performed on “Krot” plasma
facility [4]. Device represents a vacuum vessel 3 m in
diameter and 10 m in length (Fig.1). Plasma column is
created using radio-frequency inductive discharge
(f=5MHz, τp=1ms, B0.=80G) in argon under pressure
5⋅10-4 Torr. The experiments were performed in afterglow
plasma, after the plasma source switching off. The charac-
teristic time of plasma decay is of order of 10 ms.
B
Z,CM
N =10 ..10 cm
T =0.5..1.5 eV
e
e
10 12 -3
B =30..100 G0
0 100 200-100-200
B0
2.4B0
AFTERGLOW
PLASMA
(a)
(b)
magnetic loop antennas
two-turn
loop
double
probe
microwave
resonator
probe
va
cu
um
pu
m
p plasma producing
antenna
Fig.1. Schematic view of the “Krot” facility ( );
ambient magnetic field distribution (b)
During experiments two shielded loop antennas were used:
(i) single-turn, radius 1 cm, wire section 3 mm, and (ii) double-
turn, radius 10 cm, wire cross-section 2.5 . The loop plane
normal was oriented along the lines of the ambient magnetic
field. The radio-frequency pulses with the length τp=1ms were
applied to the loops. Electron density fluctuations were meas-
ured using microwave resonator probe installed on a shaft
movable in the radial direction.
The microwave resonator probe used for low-temperature
plasma diagnostics is shown schematically on Fig.2.
Fig.2. Schematic view of microwave resonator probe: 1 –
microwave resonator, 2, 3 – excitation and reception lines
The probe represents a quarter-wavelength section of
the double line, which is shortened at the one end, and is
opened at the opposite end. It was constructed from the
copper wire; probe tips length was 8 mm, wire cross-
section – 0.2 mm, the space between the tips – 2 mm.
Microwave resonator excitation and its response were
performed at the shortened end, by two loops with the
diameter 2 mm. The resonator frequency was F ~ 8 GHz,
its Q-factor was Q ≈ 100. As it was shown in [2], the
resonance frequency resω of the probe immersed into
mailto:strik@appl.sci-nnov.ru
210
plasma is determined by density N of the plasma sur-
rounding the resonator: 2 2 2
0res peω ω ω= + , where ωpe- elec-
tron plasma frequency. Small plasma density perturbation
in the form ( )cosn tmδ ω leads to periodic variations of
the probe resonance frequency. For the fixed frequency,
taken at the slope of the probe resonance curve, the peri-
odic variations of resω value can transform into the am-
plitude modulation of the signal at a perturbation fre-
quency; so, modulation index is proportional to the slope
gradient dUres
dω
.
If we take the operating point at the maximum gradi-
ent of the resonance slope for the analysis of non-
stationary density variations, then signal modulation in-
dex δUres is connected with a plasma density perturbation
δn by the following relation
( )
0
2
02 1 2
»
max
Q
pe
U nres
U Nres ω
ω
δ δ
+
. (1)
The limitations of density perturbation nδ diagnostic tech-
nique proposed are stipulated by perturbation frequency value
mω : inverse value of the latter could be higher than characteris-
tic resonant system response time in respect of medium parame-
ters variations: * /T Q resω= , 1 *
m Tω − > ∼ 92 10−⋅ s. Sche-
matic diagram of the measuring system is presented at Fig. 3.
Microwave oscillator is connected to the excitation line of the
probe. The signal after receiver loop is fed to waveguide-to-
coaxial adapter, with subsequent detection, and pass to the nar-
row-band receiver input (∆f = 100 kHz), which is used for
modulation of the resonance curve analysis. The output of the
receiver is connected with a digital oscilloscope and PC.
microwave oscillator
receiverdetector
Resonator probe
oscillograph
Fig.3. Schematic diagram of the measurement system
for periodic plasma density perturbation study using
microwave resonator probe
3. EXPERIMENTAL RESULTS
In experiments the spatial structure of the plasma density
perturbation at the distance 1 cm from the loop antenna plane
with a radius R=1 cm was studied. The measurements were
performed in plasma of density N=3⋅1011cm-3 and electron
temperature Te=1.5 eV with ambient magnetic field strength
B0=80 G. The frequency of the signal fed to antenna was
80 MHz, its power was 60 W.
The typical resonance curve trace and the trace of the
amplitude modulation envelope obtained during studies of
the periodic electron density fluctuations in afterglow
decaying plasma are shown at Fig.4. The amplitude
modulation δUres, and hence the amplitude of density
fluctuations, were proportional to the strength of the cur-
rent in the loop antenna.
The Fig. 5 shows the radial distribution of density os-
cillations amplitude nδ at a distance 1 cm from the of a
loop antenna with radius R=1 cm. It can be seen the
minimum of nδ at r=0, at the interval between 0 and R
the density perturbation monotonically increases, with the
subsequent decrease with a scale length ∼ R.
A,
(a
.u
.)
0 0.05 0.1 0.15 0.2 0.25
T,(ms)
1
2
Fig.4. The typical oscilloscope traces of the resonance
curve (1) and the amplitude modulation envelop (2)
r, cm
n n
10
-6
.
0 0.5 1 1.5 2 2.5 3
0
1
2
3
4
5
6
7
8
Fig. 5. Radial distribution of the nδ at a distance 1 cm
from the plane of the loop antenna with radius 1 cm
4. NEAR-FIELD NON-DESTRUCTIVE
DIAGNOSTICS FOR THE INHOMOGENEOUS
MEDIA
The near-field measuring system utilized for low-
conductance objects probing is shown schematically at
Fig.6 . The probe represents a microwave resonator de-
scribed above. This probe interacted with the material
under study by measuring part 4 of the resonator 1, repre-
senting a section of the double line shortened at the one
end, and opened at the other. The resonator free frequency
was 860 MHz; Q-factor of the resonant system was 150.
For the probing of the high-conductance objects the reso-
nator from half-wavelength section shortened at the both
ends was used, see Fig.6b.
b 1
Fig.6. The measuring systems used: a – probe with a quarter-
wavelength resonator, b – probe with a half-wavelength reso-
nator: 1 – microwave resonator, 2 and 3 – excitation and re-
ception lines, 4 – the measuring part of the resonator. 5 – elec-
tric field distribution along the resonator
This scheme provides the minimization of the insertion
loss. The measuring part of the resonator corresponds to the
electric field minimum in this case. The resonator free frequency
was 860 MHz, its Q-factor was 200. The interaction of quasi-
electrostatic field of the probe with the inhomogeneous object
causes the resonator frequency shifting, and changing of resona-
tor Q-factor. The theory of microwave resonator probe opera-
tion in respect of magnetized plasma density and temperature
diagnostics was developed in [3]. For this theory it is essential
211
that the probe operating frequency is higher than a plasma fre-
quency. Dielectric constant of plasma in this case is very close to
unity, so the iteration procedure can be used for calculations of
capacitance per unit length. In our case (Fig.6) microwave reso-
nator interacts with the object under study only by small part of
itself, as a result a small parameter can be extracted, thus the
technique developed in [3] can be utilized.
The probe sensitivity was studied in the model experi-
ments described below. The sample of homogeneous medium
with the linear dimensions much higher than measuring reso-
nator part length d was chosen. We studied the resonance
curve of the probe behavior versus distance h between the flat
sample surface and the measuring part of the resonator. Fig.7
shows the shift of the resonance frequency versus distance h
for two materials – teflon and glass. The trace shows that fre-
quency shift is greatest in case of direct contact with the sam-
ple, and is diminishing with the increase of the distance h. The
maximum probing depth hcr matches with the gap between the
tips of the probe d=6 mm with high accuracy.
h (mm)
0 5
0
100
50
f(
H
z)
Fig.7. Resonance frequency shift ∆f versus distance h to the
sample surface with = 6.75 (solid line) and =2 (dashed line)
-1.5 -1 -0.5 0 0.5 1 1.5z(mm)
0
-2,5
-5
f (
H
z)
Fig.8. Resonance frequency shift ∆f of the probe versus its
lateral position during studies of psoriatic papule with a di-
ameter 1 cm. Solid line – before the beginning of the therapy,
dashed line – after the therapy course beginning
Relating to the biological tissue pathologies diagnostics, the
near-field technique under development was approved in
Research Institute of Dermatology and Venereology (Nizhniy
Novgorod, Russia) in studies of the human skin affected by
psoriasis. It was discovered that dielectric constant and
conductivity of the affected tissue are smaller than in case of
healthy skin. During the recovery period the electrodynamics
parameters of the skin affected became closer to healthy skin
parameters. Fig.8 shows the resonance frequency shift ∆f versus
position of the resonator measuring part center during studies of
the psoriatic papule of diameter 1 cm – before the beginning of
the therapy course, and during recovery period. The patients’
examination during the course of treatment let us reveal the
dynamics of their recovery at the stages, which are not
characterized by visible changes of the skin affected by
psoriasis. Thus the near-field technique of the psoriatic papules.
CONCLUSIONS
The experiments performed have shown that the mi-
crowave resonator probe constructed from the double-
wire section can be successfully applied as a diagnostic
tool for the measurements of non-stationary processes in
magnetized plasma, accompanied by plasma density per-
turbations /n nδ of order 10-5 – 10-6.
The possibility is shown of using the proposed reso-
nant system as a non-destructive diagnostics of the arbi-
trary dielectric media. Using the skin disease example, we
show the possibilities of measuring system with resonator
of double-wire section as a tool for near-field diagnostics
for pathologies of a biological tissue.
This work was supported by Russian Foundation for
Basic Research projects . 04-02-17188, 05-08-50020,
by Federal Agency for Science and Innovations and by
grant -1087.2006.2.
REFERENCES
1. A.A. Brandt. .: “Fizmatgiz”, 1963.
2. R.L. Stenzel // Rev. Sci. Instrum. 1976, v. 47, 5, p. 603.
3. I.G. Kondratev, A.V. Kostrov, A.I. Smirnov, A.V. Strikovsky,
A.V. Shashurin //Phys. Plasmas. 2002, v. 28, 11, p. 977-983.
4. A.V. Kostrov, A.V. Strikovsky, U.V. Chugunov,
A.V. Shashurin. Preprint. N. Novgorod : IAP RAS, 510, 1999.
5. T.M. Zaboronkova, A.V. Kostrov, A.V. Kudrin, A.I. Smirnov,
A.A. Shaykin // Izv. Vuzov. Radiofizika. 1996, v. 39, 2, p. 192.
6. C.L. Rousculp, R.L. Stenzel, J.M. Urrutia // Phys.
Plasmas. 1995, N2(11), p. 4083-4093.
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