CN113472319B - Tuning method of radio frequency power supply - Google Patents

Tuning method of radio frequency power supply Download PDF

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CN113472319B
CN113472319B CN202111020439.7A CN202111020439A CN113472319B CN 113472319 B CN113472319 B CN 113472319B CN 202111020439 A CN202111020439 A CN 202111020439A CN 113472319 B CN113472319 B CN 113472319B
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curve
power supply
point
radio frequency
frequency power
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CN113472319A (en
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邱文杰
刘洋
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Sichuan Injet Electric Co Ltd
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Sichuan Injet Electric Co Ltd
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Priority to PCT/CN2022/074097 priority patent/WO2023029371A1/en
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Priority to JP2022520849A priority patent/JP7393535B2/en
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J37/00Discharge tubes with provision for introducing objects or material to be exposed to the discharge, e.g. for the purpose of examination or processing thereof
    • H01J37/32Gas-filled discharge tubes
    • H01J37/32009Arrangements for generation of plasma specially adapted for examination or treatment of objects, e.g. plasma sources
    • H01J37/32082Radio frequency generated discharge
    • H01J37/32174Circuits specially adapted for controlling the RF discharge
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03JTUNING RESONANT CIRCUITS; SELECTING RESONANT CIRCUITS
    • H03J7/00Automatic frequency control; Automatic scanning over a band of frequencies
    • H03J7/02Automatic frequency control
    • H03J7/04Automatic frequency control where the frequency control is accomplished by varying the electrical characteristics of a non-mechanically adjustable element or where the nature of the frequency controlling element is not significant
    • H03J7/045Modification of automatic frequency control sensitivity or linearising automatic frequency control operation; Modification of the working range
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J37/00Discharge tubes with provision for introducing objects or material to be exposed to the discharge, e.g. for the purpose of examination or processing thereof
    • H01J37/32Gas-filled discharge tubes
    • H01J37/32009Arrangements for generation of plasma specially adapted for examination or treatment of objects, e.g. plasma sources
    • H01J37/32082Radio frequency generated discharge
    • H01J37/32137Radio frequency generated discharge controlling of the discharge by modulation of energy
    • H01J37/32155Frequency modulation
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J2237/00Discharge tubes exposing object to beam, e.g. for analysis treatment, etching, imaging
    • H01J2237/32Processing objects by plasma generation
    • H01J2237/33Processing objects by plasma generation characterised by the type of processing
    • H01J2237/332Coating
    • H01J2237/3321CVD [Chemical Vapor Deposition]
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01JELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
    • H01J2237/00Discharge tubes exposing object to beam, e.g. for analysis treatment, etching, imaging
    • H01J2237/32Processing objects by plasma generation
    • H01J2237/33Processing objects by plasma generation characterised by the type of processing
    • H01J2237/334Etching

Abstract

The invention discloses a tuning method of a radio frequency power supply, wherein the radio frequency power supply comprises a frequency control module and a closed-loop controller, and corresponding curves are established in a plurality of planes by changing the frequency of the radio frequency power supply; taking any point in the complex plane as a starting point, taking an original point of the complex plane or a point near the original point as an end point, and taking the starting point and the end point as reference vectors; judging whether the curve is a target curve or not, and if not, obtaining a correction curve through curve transformation; the reference vector divides the target curve or the correction curve into a left area and a right area; and adjusting the frequency of the radio frequency power supply according to the positions of the complex values on the target curve or the correction curve in the left and right areas. The radio frequency power supply tuning method provided by the invention is simple and efficient in calculation mode, can overcome the defect that the prior art cannot adjust the frequency of a non-target curve, and has stronger adaptability.

Description

Tuning method of radio frequency power supply
Technical Field
The invention relates to the technical field of radio frequency power supply tuning, in particular to a tuning method of a radio frequency power supply.
Background
The radio frequency power supply can be widely applied to the fields of film coating, semiconductor preparation and the like, for example, semiconductor plasma etching. However, during plasma etching, the rf power output, gas composition, gas flow rate, etc. are typically varied due to variations in process requirements. As these parameters change, the load impedance will also change dynamically, requiring the rf power supply to achieve a fast response and maximize power transfer throughout the process.
In general, frequency tuning is usually performed by a gradient method. The absolute value of the reflection power or the reflection coefficient is used as a reference value, the frequency tuning direction is uncertain due to the scalar, the modulation is usually targeted to the minimum reflection power or the minimum reflection coefficient, and the time for frequency tuning is measured in milliseconds, so that the requirement of rapid frequency tuning control cannot be met.
There is a prior art that is directed to finding a method and apparatus capable of fast tuning, such as chinese patent No. 2017800311002, which discloses generating an impedance curve and a reference vector in a complex reflection coefficient plane, and scaling the measurement by a predetermined multiple according to a measurement angle between the reference vector and an actually measured impedance valueAnd measuring the angle to calculate a frequency adjustment step size, and adjusting the frequency of the exciter according to the frequency step size. In addition, the method only considers the frequency adjustment of an ideal impedance trajectory curve (target curve), as shown in fig. 1, if an actually formed impedance curve is a closed curve in a non-target curve, at this time, the same measurement angle may correspond to two impedance points n1 and n2 on the curve, and the occurrence of the two impedance points will cause the problem of frequency tuning direction disorder, and according to the adjustment method described in the application, both the frequency point n1 and the frequency point n2 will move in the direction of decreasing frequency; at this time, the frequency point n2 will move to the minimum frequency point in the adjusting process
Figure 100002_DEST_PATH_IMAGE001
And cannot be tuned to the frequency tuning optimum.
Disclosure of Invention
The invention aims to solve the problem that the frequency adjustment of an ideal impedance track curve is only considered in the prior art, and when the impedance curve is a non-target curve, the same measurement angle corresponds to two impedance points, so that the optimal point of the frequency cannot be adjusted.
In order to achieve the above purpose, the invention provides the following technical scheme:
a tuning method of a radio frequency power supply, wherein the radio frequency power supply comprises a frequency control module and a closed-loop controller, and comprises the following steps:
changing the frequency of the radio frequency power supply, and establishing a corresponding curve in a complex plane;
taking any point in the complex plane as a starting point, taking an original point of the complex plane or a point near the original point as an end point, and taking the starting point and the end point as reference vectors;
judging whether the curve is a target curve or not, and if not, obtaining a correction curve through curve transformation;
the reference vector divides the target curve or the correction curve into a left area and a right area;
and adjusting the frequency of the radio frequency power supply according to the positions of the complex values on the target curve or the correction curve in the left and right areas.
The curve is a target curve, and otherwise, the curve is a non-target curve.
According to a specific implementation manner, in the tuning method of the radio frequency power supply, the curve transformation includes: dividing the non-target curve into two sections based on the reference vector, and respectively converting the two sections of curves to the left and the right through function conversion to obtain correction curves positioned at two sides of the reference vector; or a section of curve is transformed to the left or the right through functional transformation to obtain correction curves positioned at two sides of the reference vector.
According to a specific implementation manner, in the tuning method of the radio frequency power supply, when the complex value on the target curve or the correction curve is in the left area of the reference vector, the frequency of the radio frequency power supply is increased or decreased, and when the complex value on the target curve or the correction curve is in the right area of the reference vector, the adjustment is opposite to that in the left area.
According to a specific implementation manner, in the tuning method of the radio frequency power supply, the starting point is located on an end-to-end connection line of the target curve or the correction curve, or on an extension line of the end-to-end connection line, or on one side of the end-to-end connection line or the extension line thereof.
According to a specific implementation manner, in the tuning method of the radio frequency power supply, the point near the origin is a point in an area where a reflection coefficient mode value is less than or equal to 0.5 or a transmission efficiency of the radio frequency power supply is greater than or equal to 75%.
According to a specific implementation manner, in the tuning method of the radio frequency power supply, the function transformation adopts a matrix or a transposed matrix, the impedance is Z, and the correction curve is
Figure DEST_PATH_IMAGE002
The transpose matrix is
Figure 100002_DEST_PATH_IMAGE003
Said
Figure DEST_PATH_IMAGE004
Wherein, in the step (A),
Figure 100002_DEST_PATH_IMAGE005
to change the angle.
The size of the transformation angle can determine the distance between the correction curve and the reference vector, and the larger the angle is, the larger the opening is, and the size can be set according to the size of the opening of the non-target curve to be transformed.
According to a specific implementation manner, in the tuning method of the radio frequency power supply, the target curve or the correction curve takes any number of points
Figure DEST_PATH_IMAGE006
Figure 100002_DEST_PATH_IMAGE007
Reference vector
Figure DEST_PATH_IMAGE008
Comprises the following steps:
Figure 100002_DEST_PATH_IMAGE009
use of
Figure DEST_PATH_IMAGE010
And
Figure 724896DEST_PATH_IMAGE006
constructing a determinant:
Figure 100002_DEST_PATH_IMAGE011
wherein the content of the first and second substances,
Figure 32249DEST_PATH_IMAGE012
is a plurality of points
Figure 15249DEST_PATH_IMAGE006
The abscissa of the (c) axis of the (c),
Figure 100002_DEST_PATH_IMAGE013
a plurality of dots
Figure 555996DEST_PATH_IMAGE006
The ordinate of (a);
Figure 839210DEST_PATH_IMAGE014
as reference vectors
Figure 100002_DEST_PATH_IMAGE015
The abscissa of the (c) axis of the (c),
Figure 317465DEST_PATH_IMAGE016
as reference vectors
Figure 7334DEST_PATH_IMAGE015
The ordinate of (a);
when T is larger than 0, increasing the frequency of the radio frequency power supply through the frequency control module; and when T is less than 0, reducing the frequency of the radio frequency power supply through the frequency control module.
According to a specific implementation manner, in the tuning method of the radio frequency power supply, the frequency of the radio frequency power supply is tracked and adjusted by using the closed-loop controller and the frequency control module.
According to a specific embodiment, in the tuning method of the radio frequency power supply, the curve includes an impedance curve or an admittance curve, or a reflection coefficient curve.
Compared with the prior art, the invention has the beneficial effects that:
the radio frequency power supply tuning method provided by the invention comprises the steps of establishing a curve responding to the frequency of a radio frequency power supply in a plurality of planes, judging whether the obtained curve is a target curve or not, and carrying out curve transformation on a non-target curve to obtain a corrected curve; and meanwhile, reference vectors which can be used for dividing the target curve or the correction curve into a left area and a right area are determined, and finally, the frequency adjusting mode can be determined only by positioning the actually measured complex values in the left area and the right area which are divided by the reference vectors, the calculating mode is simple and efficient, and the tracking adjustment of the radio frequency power supply can be performed. The method can overcome the defect that the prior art cannot adjust the frequency of the non-target curve, is suitable for adjusting the frequency of the target curve and the non-target curve, and has stronger adaptability.
Description of the drawings:
FIG. 1 is a non-target curve 1 of an exemplary embodiment of the present invention;
FIG. 2 is a block diagram of an exemplary embodiment of a RF power system;
FIG. 3 is a target curve for an exemplary embodiment of the present invention;
FIG. 4 is a schematic diagram of a non-target curve 2 and its transformation according to an exemplary embodiment of the present invention;
fig. 5 is a graph transformation diagram of the non-target curve 1 according to the exemplary embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to test examples and specific embodiments. It should be understood that the scope of the above-described subject matter is not limited to the following examples, and any techniques implemented based on the disclosure of the present invention are within the scope of the present invention.
Example 1
Fig. 2 shows a radio frequency power supply system of an exemplary embodiment of the present invention, including: radio frequency power supply, coaxial line, matcher, load cavity. The radio frequency power supply output interface is connected with the matcher input interface through a coaxial line, and the matcher output interface is connected with the load cavity. The radio frequency power supply is internally provided with a sensor for detecting an output radio frequency signal, a frequency control module capable of performing frequency tuning, and the frequency control module is also provided with a closed-loop controller (not shown in figure 2). Further, the radio frequency power supply performs frequency tracking adjustment by the following tuning method, including:
A. establishing a corresponding curve in a complex plane by changing the frequency of the radio frequency power supply, wherein the curve comprises: the whole impedance curve or admittance curve or complex reflection coefficient curve seen from the output port of the radio frequency power supply. And the complex points corresponding to the minimum frequency and the maximum frequency on the curve form the head and the tail of the curve.
B. Regarding the acquired curve (the whole impedance curve or the admittance curve or the complex reflection coefficient curve), taking any point in the complex plane as a starting point, taking an original point of the complex plane or a point near the original point as an end point, and taking the starting point and the end point as reference vectors; the reference vector is used to divide the curve that has been acquired into two regions.
Specifically, the starting point is located on a head-to-tail connection line of the target curve or the correction curve (as shown in a point a in fig. 5), or on an extension line of the head-to-tail connection line (as shown in a point a in fig. 4), or on one side of the head-to-tail connection line or the extension line thereof (as shown in a point a in fig. 3); and a point near the origin is: a point in the region where the mode value of the reflection coefficient is 0.5 or less or the transmission efficiency of the rf power source is 75% or more (the dotted line region shown in fig. 3).
C. Judging whether the curve is a target curve or not, and if not, obtaining a correction curve through curve transformation; the reference vector divides the target curve or the correction curve into a left region and a right region (wherein the left region and the right region are determined based on the space left-right relation of points on the curve and the reference vector); and adjusting the frequency of the radio frequency power supply according to the positions of the complex values on the target curve or the correction curve in the left and right areas.
Specifically, when adjusting the frequency, the frequency adjustment direction is determined according to the left-right position relationship between the impedance measured value and the reference vector by receiving the impedance measured value of the sensor (the measured value is a plurality of points located on the curve), wherein the frequency adjustment modes on the left side and the right side are opposite, one is increased, and the other is decreased, thereby realizing the fast tracking adjustment of the radio frequency power supply frequency. In establishing the corresponding curve, the curve formed in response to the frequency of the rf power source may be a target curve or a non-target curve. Fig. 3 shows target curves obtained by an exemplary embodiment of the present invention, and fig. 1 and 4 respectively show two non-target curves formed in response to the frequency of the rf power supply. For a non-target curve, a point on the curve may be located on an extension line of the reference vector (as shown in fig. 1), and a collinear position relationship exists between the point on the curve and the reference vector, so that a left-right position relationship between a complex point on the curve and the reference vector cannot be determined, and therefore, a curve transformation needs to be performed on the target curve to obtain a modified curve.
Further, the curve transformation includes: dividing the non-target curve into two sections based on the end point of the reference vector, and respectively converting the two sections of curves to the left and the right through function conversion to obtain correction curves positioned at the two sides of the reference vector; or a section of curve is transformed to the left or the right through functional transformation to obtain correction curves positioned at two sides of the reference vector. Wherein the functional transformation comprises: and constructing a transformation matrix, and transforming the two curves (shown in figure 5) or one curve (shown in figure 4) to the left or right through the transformation matrix to obtain the correction curves positioned at the two sides of the reference vector.
Fig. 5 shows a graph transformation diagram of a non-target curve 1 based on a matrix transformation according to an exemplary embodiment of the present invention. Specifically, in this embodiment, it is preferable that the midpoint a of the line connecting the beginning and the end of the curve (point B and point C) is a starting point, the origin O is an end point, and the reference vector is obtained
Figure DEST_PATH_IMAGE017
(ii) a Wherein, the plural points B are plural points corresponding to the minimum frequency on the integral impedance curve or the admittance curve or the plural reflection coefficient curve; the plurality of points C are the plurality of points corresponding to the maximum frequency on the overall impedance curve or the admittance curve or the complex reflection coefficient curve. Suppose complex point B is equal to
Figure 347180DEST_PATH_IMAGE018
Plural points C equal to
Figure DEST_PATH_IMAGE019
Then, the reference point a can be calculated by the following equation (1):
Figure DEST_PATH_IMAGE020
(1)
will be referred toTwo parts BO and CO divided by the amount are affine transformed respectively, and after processing, BO is transformed as shown by a dotted line in FIG. 4
Figure 625846DEST_PATH_IMAGE021
CO conversion to
Figure DEST_PATH_IMAGE022
The transform matrix is derived from an affine transform:
Figure 25734DEST_PATH_IMAGE004
(2)
wherein Z is the input impedance (Z can also be derived by replacing admittance or input reflection coefficient);
Figure 498173DEST_PATH_IMAGE003
a transposed matrix that is Z;
Figure 438447DEST_PATH_IMAGE002
the impedance curve is obtained after affine transformation. When θ is negative, the BO curve is entirely shifted to the left to become
Figure 165094DEST_PATH_IMAGE021
(ii) a When θ is positive, the CO curve shifts to the right as a whole to
Figure 548933DEST_PATH_IMAGE022
Thereby converting the non-target curve BOC into an ideal correction curve
Figure DEST_PATH_IMAGE023
In a further embodiment of the present invention, which region of the left and right regions of the reference vector the complex value on the target curve or the correction curve is located in is calculated by means of spatial cross multiplication, after the vector cross multiplication, the relative position relationship between the complex point and the reference vector can be determined by a right-hand rule, and the relative position relationship is located in a left region or a right region of the reference vector, which specifically includes:
when the obtained curve BOC is the targetDuring the curve: let the actual measured impedance point be
Figure 180772DEST_PATH_IMAGE007
,VmIs an arbitrary complex point on the whole impedance curve or admittance curve or complex reflection coefficient curve, namely an arbitrary complex point on the BOC curve, a reference vector
Figure 393579DEST_PATH_IMAGE008
Equal to:
Figure 505891DEST_PATH_IMAGE009
Figure 263894DEST_PATH_IMAGE010
can be calculated by the formula (1).
Use of
Figure 461657DEST_PATH_IMAGE010
And
Figure 993001DEST_PATH_IMAGE006
and constructing a determinant to obtain a cross multiplication mathematical result T:
Figure 959820DEST_PATH_IMAGE011
(3)
when the curve BOC is a non-target curve, the actually measured impedance value is still a plurality of points V on the original target curvemHowever, there is a corresponding matrix-mapped point on the correction curve
Figure DEST_PATH_IMAGE024
Figure DEST_PATH_IMAGE025
As an arbitrary complex point on an affine transformed bulk impedance (admittance) curve or complex reflection coefficient curve (i.e. as a function of the measured impedance
Figure 91987DEST_PATH_IMAGE023
CurveAny plurality of points) of the first and second image frames, at this time, by using
Figure 980308DEST_PATH_IMAGE010
And
Figure 315343DEST_PATH_IMAGE024
the determinant of the formula (3) can also be determined
Figure 871090DEST_PATH_IMAGE024
Relative position relationship with reference vector.
When T >0, the frequency control module increases the frequency; when T <0, the frequency control module decreases the frequency; and meanwhile, configuring a closed-loop controller in the frequency control module to track and adjust the frequency according to the rule, preferably adopting a PID (proportion integration differentiation) controller in the existing closed-loop controller, and controlling the frequency to change rapidly according to the control principle so as to adjust the frequency of the radio frequency power supply to a frequency point corresponding to T = 0. The error input of the closed-loop controller is T, and the output of the closed-loop controller is frequency adjustment quantity, so that the rapid tracking adjustment of the frequency of the radio frequency power supply is realized.
Similarly, for the non-target curve 2 shown in fig. 4, the extended line point a of the connection line between the head and the tail of the curve (point B and point C) is used as the starting point, the origin O is used as the end point, and the reference vector is used as the reference vector
Figure 282479DEST_PATH_IMAGE008
. Since the BO curve is located at the reference vector
Figure 408830DEST_PATH_IMAGE017
On the left side of the curve, only affine transformation is needed to be carried out on the CO curve, so that the corrected curve
Figure 298288DEST_PATH_IMAGE022
Located in a reference vector
Figure 223388DEST_PATH_IMAGE017
And finally, the frequency of the radio frequency power supply is quickly tracked and adjusted.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.

Claims (8)

1. A tuning method of a radio frequency power supply, wherein the radio frequency power supply comprises a frequency control module and a closed-loop controller,
changing the frequency of the radio frequency power supply, and establishing a corresponding curve in a complex plane;
taking any point in the complex plane as a starting point, taking an original point of the complex plane or a point near the original point as an end point, and taking the starting point and the end point as reference vectors;
judging whether the curve is a target curve or not, and if not, obtaining a correction curve through curve transformation;
the reference vector divides the target curve or the correction curve into a left area and a right area;
adjusting the frequency of the radio frequency power supply according to the positions of the complex values on the target curve or the correction curve in the left and right areas;
the curve transformation divides the non-target curve into two sections based on the reference vector, and the two sections of curves are respectively transformed leftwards and rightwards through function transformation to obtain correction curves positioned at two sides of the reference vector; or a section of curve is transformed to the left or the right through functional transformation to obtain correction curves positioned at two sides of the reference vector.
2. The method of claim 1, wherein the increasing or decreasing the frequency of the rf power source when the complex value on the target curve or the modified curve is in the left region of the reference vector is opposite to the adjusting when the complex value on the target curve or the modified curve is in the right region of the reference vector.
3. The method of claim 1, wherein the starting point is located on an end-to-end line of the target curve or the correction curve, or on an extension of the end-to-end line, or on one side of the end-to-end line or the extension thereof.
4. The method of claim 1, wherein the point near the origin is a point in a region where a reflection coefficient mode value is 0.5 or less or a transmission efficiency of the rf power source is 75% or more.
5. The method of claim 2, wherein the functional transformation is a matrix or a transposed matrix, Z is an impedance, and the correction curve is
Figure DEST_PATH_IMAGE001
The transpose matrix is
Figure 414052DEST_PATH_IMAGE002
Said
Figure DEST_PATH_IMAGE003
(ii) a Wherein the content of the first and second substances,
Figure 605999DEST_PATH_IMAGE004
6. the method of claim 5, wherein the target curve or the correction curve is any of a plurality of points Vm
Figure DEST_PATH_IMAGE005
Reference vector
Figure 951530DEST_PATH_IMAGE006
Comprises the following steps:
Figure DEST_PATH_IMAGE007
use of
Figure 318533DEST_PATH_IMAGE008
And
Figure DEST_PATH_IMAGE009
constructing a determinant:
Figure DEST_PATH_IMAGE011
wherein the content of the first and second substances,
Figure 382304DEST_PATH_IMAGE012
is a plurality of points
Figure DEST_PATH_IMAGE013
The abscissa of the (c) axis of the (c),
Figure 112362DEST_PATH_IMAGE014
a plurality of dots
Figure 63132DEST_PATH_IMAGE013
The ordinate of (a);
Figure DEST_PATH_IMAGE015
as reference vectors
Figure 587654DEST_PATH_IMAGE006
The abscissa of the (c) axis of the (c),
Figure 607563DEST_PATH_IMAGE016
as reference vectors
Figure 610154DEST_PATH_IMAGE006
The ordinate of (a);
when T is larger than 0, increasing the frequency of the radio frequency power supply through the frequency control module; and when T is less than 0, reducing the frequency of the radio frequency power supply through the frequency control module.
7. The method as claimed in claim 6, wherein the frequency of the rf power supply is adjusted by using a closed-loop controller and a frequency control module.
8. A method of tuning a radio frequency power supply as claimed in claim 1, wherein said curve comprises an impedance curve or an admittance curve, or a reflection coefficient curve.
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KR1020227011491A KR20230035211A (en) 2021-09-01 2022-01-26 How to tune RF power
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