US20080000585A1 - Apparatus for monitoring electron density and electron temperature of plasma and method thereof - Google Patents
Apparatus for monitoring electron density and electron temperature of plasma and method thereof Download PDFInfo
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- US20080000585A1 US20080000585A1 US11/467,062 US46706206A US2008000585A1 US 20080000585 A1 US20080000585 A1 US 20080000585A1 US 46706206 A US46706206 A US 46706206A US 2008000585 A1 US2008000585 A1 US 2008000585A1
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- 238000012544 monitoring process Methods 0.000 title claims abstract description 28
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- H—ELECTRICITY
- H05—ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
- H05H—PLASMA TECHNIQUE; PRODUCTION OF ACCELERATED ELECTRICALLY-CHARGED PARTICLES OR OF NEUTRONS; PRODUCTION OR ACCELERATION OF NEUTRAL MOLECULAR OR ATOMIC BEAMS
- H05H1/00—Generating plasma; Handling plasma
- H05H1/0006—Investigating plasma, e.g. measuring the degree of ionisation or the electron temperature
- H05H1/0012—Investigating plasma, e.g. measuring the degree of ionisation or the electron temperature using electromagnetic or particle radiation, e.g. interferometry
- H05H1/0062—Investigating plasma, e.g. measuring the degree of ionisation or the electron temperature using electromagnetic or particle radiation, e.g. interferometry by using microwaves
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01L—SEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
- H01L21/00—Processes or apparatus adapted for the manufacture or treatment of semiconductor or solid state devices or of parts thereof
- H01L21/02—Manufacture or treatment of semiconductor devices or of parts thereof
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01L—SEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
- H01L21/00—Processes or apparatus adapted for the manufacture or treatment of semiconductor or solid state devices or of parts thereof
- H01L21/02—Manufacture or treatment of semiconductor devices or of parts thereof
- H01L21/04—Manufacture or treatment of semiconductor devices or of parts thereof the devices having potential barriers, e.g. a PN junction, depletion layer or carrier concentration layer
- H01L21/18—Manufacture or treatment of semiconductor devices or of parts thereof the devices having potential barriers, e.g. a PN junction, depletion layer or carrier concentration layer the devices having semiconductor bodies comprising elements of Group IV of the Periodic Table or AIIIBV compounds with or without impurities, e.g. doping materials
- H01L21/30—Treatment of semiconductor bodies using processes or apparatus not provided for in groups H01L21/20 - H01L21/26
- H01L21/302—Treatment of semiconductor bodies using processes or apparatus not provided for in groups H01L21/20 - H01L21/26 to change their surface-physical characteristics or shape, e.g. etching, polishing, cutting
- H01L21/306—Chemical or electrical treatment, e.g. electrolytic etching
- H01L21/3065—Plasma etching; Reactive-ion etching
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01L—SEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
- H01L22/00—Testing or measuring during manufacture or treatment; Reliability measurements, i.e. testing of parts without further processing to modify the parts as such; Structural arrangements therefor
Definitions
- the present invention relates, in general, to a technique that measures and monitors an electron density and an electron temperature of a plasma by probing and scanning each eigenfrequency, which is correlated to an electron density and electron temperature of a plasma, in order to monitor a process status using the plasma, such as a semiconductor fabrication process.
- the present invention relates to an apparatus for monitoring an electron density and electron temperature of a plasma, including a probe of an antenna structure for transmitting/receiving a series of electromagnetic waves of a band to/from a corresponding plasma and an analysis tool for analyzing the bands of specific electromagnetic wave cutoff frequency and absorption frequency of electromagnetic waves transmitted, which are cut off or absorbed with respect to a corresponding plasma, and calculating an electron density and electron temperature of the corresponding plasma based on the analysis result, and a method thereof.
- Equipments used to fabricate semiconductor devices include an ion implantation equipment for implanting a desired impurity into a predetermined region of a wafer, a furnace for growing a thermal oxide layer, a deposition equipment for depositing a conduction layer or an insulating layer on the wafer, exposure and etch equipments for patterning the deposited conduction layer or the deposited insulating layer in a desired form, and the like.
- a plasma equipment for forming plasma within a sealed chamber of a vacuum state and implanting a reaction gas to deposit or etch a material layer has been widely used as the equipment for depositing a predetermined material layer on the wafer or etching a predetermined material layer formed in the wafer.
- tools capable of measuring an electron density and an ion density within plasma include Langmuir probe, a plasma oscillation probe, a plasma absorption probe, an OES (Optical Emission Spectroscopy), a laser Thomson scattering method, and so on.
- the Langmuir probe of the tools is widely used.
- the probe in order to measure the plasma characteristic, the probe is inserted into plasma within a plasma chamber from the outside, and voltages are varied from a negative potential to a positive potential (i.e., in the range of ⁇ 200V to 200V) and are measured by varying an externally supplied DC.
- the concentration of the plasma can be measured by measuring the generated current in order to analyze the correlation between the generated current and the voltage applied to the probe.
- the plasma density can be measured in real-time while the process is performed because the plasma density is measured by inserting the probe into the chamber.
- the conventional Langmuir probe has a noise problem due to RF (Radio Frequency) oscillation, a problem in that a thin film material is deposited on the probe at the time of depositing the material in the semiconductor process, a problem in that the probe becomes small due to etching at the time of a dry etch process, and the like. This makes it impossible to apply the Langmuir probe to an actual mass-production process.
- RF Radio Frequency
- the conventional plasma oscillation probe is constructed to use an electron beam and employs a hot filament in order to produce the electron beam.
- the plasma oscillation probe is problematic in that it has a narrow operating condition, such as that corresponding hot filament is broken at a pressure of 50 mT or more.
- the plasma oscillation probe is also problematic in that the reaction container is polluted due to the evaporation of hot filament upon heating in order to emit thermal electrons.
- the conventional plasma absorption probe is problematic in that correction must be carried out using an accurate plasma density diagnosis tool before operation.
- a structure for improving the problem has been proposed.
- the proposed structure requires several steps of complicate calculation processes for calculating an absolute value of a measurement density.
- the proposed structure is problematic in that the effectiveness is low since physically assumed conditions are included.
- the electron temperature measurement method employing OES is problematic in that it is commercially applied since sufficient data are not accumulated.
- the laser Thomson scattering method is problematic in that it is used only within a laboratory other than a mass-production system because the size is very large and the structure is very complicate.
- the present invention has been made in view of the above problems occurring in the prior art, and it is a first object of the present invention to provide an apparatus for monitoring an electron density and electron temperature of a plasma, including an electromagnetic wave transceiver of an antenna structure, which can transmit/receive electromagnetic waves of a series of bands so that a frequency band that is correlated to an electron density and electron temperature can be measured/monitored in real-time.
- an apparatus for monitoring an electron density and electron temperature of a plasma including an electromagnetic wave generator that continuously transmits electromagnetic wave of a series of frequency bands, an electromagnetic wave transceiver connected to a plasma within a reaction container and electrically connected to the electromagnetic wave generator so that a frequency of the transmitted electromagnetic wave is correlated to the electron density and electron temperature of the plasma, the electromagnetic wave transceiver transmitting the electromagnetic wave, a frequency analyzer electrically connected to the electromagnetic wave transceiver, for analyzing the frequency of the electromagnetic wave received from the electromagnetic wave transceiver, and a computer electrically connected to the electromagnetic wave generator and the frequency analyzer, for calculating a correlation between the electron density and electron temperature, and a corresponding electromagnetic wave based on a frequency band-based transmission command of the electromagnetic wave and the analyzed data.
- the electromagnetic wave transceiver may include first and second coaxial cables that are electrically connected to the electromagnetic wave generator and the frequency analyzer, respectively, and are disposed in parallel, and a transmit antenna and a receive antenna that are connected to and projected from one ends of the first and second coaxial cables, respectively, on the same axial line and are connected to the plasma in order to transmit and receive the electromagnetic wave.
- Each of the first and second coaxial cables may include a dielectric-coated layer coated/shielded at a predetermined thickness.
- the apparatus may further include a conveyer connected to the other end of the electromagnetic wave transceiver, for causing the electromagnetic wave transceiver to be selectively conveyed within the reaction container.
- the conveyer may be driven by a stepping motor.
- the conveyer may be driven by an oil-pressure cylinder.
- the electromagnetic wave transceiver is disposed along a radial direction of the reaction container in obtaining characteristic distributions of the plasma within the reaction container.
- FIG. 1 shows the construction of an apparatus for monitoring an electron density and electron temperature of a plasma according to an embodiment of the present invention
- FIG. 2 is a cross-sectional view of transmit/receive antennas shown in FIG. 1 ;
- FIG. 3 is a view illustrating convey within a reaction container of an electromagnetic wave transceiver shown in FIG. 1 ;
- FIG. 4 a is a graph illustrating cutoff frequencies measured using the monitoring apparatus according to an embodiment of the present invention.
- FIG. 4 b is a graph illustrating absorption frequencies measured using the monitoring apparatus according to an embodiment of the present invention.
- FIG. 5 is a graph illustrating electron density and electron temperature measured using the monitoring apparatus according to an embodiment of the present invention.
- FIG. 6 is a flowchart illustrating a method of measuring an electron temperature of a plasma according to an embodiment of the present invention.
- FIG. 1 shows the construction of an apparatus for monitoring an electron density and electron temperature of a plasma according to an embodiment of the present invention.
- FIG. 2 is a cross-sectional view of transmit/receive antennas shown in FIG. 1 .
- the monitoring apparatus is adapted to measure a corresponding characteristic value and monitor the characteristic value in real-time, by finding a correlation between the characteristics of electromagnetic wave and a plasma 100 a (more particularly, an electron density, an electron temperature, and so on) and monitoring.
- the monitoring apparatus of the present invention includes an electromagnetic wave transceiver 200 for transmitting/receiving electromagnetic wave to/from the plasma 100 a.
- the electromagnetic wave transceiver 200 has an antenna structure.
- a cylindrical reaction container 100 What is contained in a cylindrical reaction container 100 is the plasma 100 a. It has been known that if electromagnetic wave of a specific band is transmitted to the plasma 100 a, corresponding electromagnetic wave is cut off or absorbed. A specific electromagnetic wave of a frequency band that is cut off or absorbed as described above becomes the index of an electron density or an electron temperature of the plasma 100 a. It is therefore possible to obtain an electron density and electron temperature of the plasma 100 a based on a correlation between the electromagnetic wave and the plasma 100 a.
- the correlation is established in the electromagnetic wave transceiver 200 .
- An electromagnetic wave generator 300 and the frequency analyzer 400 are electrically connected to the electromagnetic wave transceiver 200 in order to transmit electromagnetic wave to the electromagnetic wave transceiver 200 or to analyze received electromagnetic wave.
- the electromagnetic wave transceiver 200 includes two coaxial cables 210 , 220 that are disposed in parallel.
- Each of the coaxial cables 210 , 220 is surrounded with an additional dielectric-coated layer 230 and a ground shield, for preventing the coaxial cables 210 , 220 from noise, heat, etc. Accordingly, electromagnetic wave can be transmitted and received more accurately.
- the dielectric-coated layer 230 may be formed of alumina or quartz.
- transmit/receive antennas 210 a, 220 b are connected to and projected from one ends of the coaxial cables 210 , 220 , respectively, on the same axial line, and transmit/receive electromagnetic wave to/from the plasma 100 a.
- the antennas 210 a, 220 a may be disposed at a distance of about 1 mm to 5 mm and may have a length of about 5 mm to 10 mm.
- the distance is only illustrative. The smaller the distance, the better.
- the length of each of the antennas 210 a, 220 a may be varied depending on a wavelength of electromagnetic wave used.
- the electromagnetic wave generator 300 is connected to the other end of the first coaxial cable 210 and consecutively transmits electromagnetic waves of a frequency band of about 50 kHz to 10 GHz to the first coaxial cable 210 and the transmit antenna 210 a. Consequently, a series of electromagnetic waves of a frequency band can be transmitted to the plasma 100 a consecutively.
- the cutoff frequency of the transmitted electromagnetic waves is cut off with respect to the plasma 100 a.
- the cutoff frequency can be used to calculate and obtain an electron density of a corresponding plasma 100 a.
- an electromagnetic wave of a band absorbed by the plasma 100 a is an absorption electromagnetic wave, which can be used to calculate and obtain an electron temperature of a corresponding plasma 100 a.
- the frequency analyzer 400 is also connected to the other end of the second coaxial cable 220 .
- the frequency analyzer 400 serves to analyze an amplitude from a frequency of electromagnetic wave, which is received and obtained by the receive antenna 220 a and the second coaxial cable 220 .
- the receive rate of the electromagnetic wave in the receive antenna 220 a is very weak. Accordingly, the electromagnetic wave of the weakest receive rate can be analyzed as the cutoff frequency.
- the frequency analyzer 400 can identify the weakest frequency by analyzing a frequency, an amplitude, and so on of the obtained electromagnetic wave. It is therefore possible to analyze/obtain the cutoff frequency.
- the electromagnetic wave is weakly reflected from the transmit antenna 220 a and the first coaxial cable 220 . It causes to generate resonance in the sheath space between the plasma 100 a and the transmit antenna 220 a by way of a kind of a cavity, resulting in a strong absorption of the electromagnetic wave. Therefore, a signal of the reflected electromagnetic wave becomes the weakest. That is, it is meant that a ratio in which the electromagnetic wave is reflected from the transmit antenna again is low. It is possible to obtain/acquire a corresponding frequency band of the absorbed electromagnetic wave by analyzing a frequency band, amplitude, etc. of the weakly reflected electromagnetic wave. Accordingly, there is provided a structure capable of analyzing/acquiring an absorption frequency band.
- a computer 500 is provided to calculate an electron density and an electron temperature based on the occurrence of a series of the electromagnetic waves, a received command, and analyzed frequency data.
- the computer 500 is electrically connected the electromagnetic wave generator 300 and the frequency analyzer 400 .
- the electromagnetic wave transceiver 200 is connected to the plasma 100 a within the reaction container 100 and transmits electromagnetic wave, a frequency band, etc. is obtained from a weakly received electromagnetic wave and data of a cutoff frequency and an absorption frequency are transmitted to the computer 500 .
- Calculation equations capable of calculating an electron density and/or an electron temperature based on a frequency are programmed into the computer 500 . Accordingly, a structure that can calculate and acquire an electron density and electron temperature of a corresponding plasma 100 a can be provided.
- FIG. 3 is a view illustrating convey within the reaction container 100 of the electromagnetic wave transceiver 200 shown in FIG. 1 .
- the monitoring apparatus includes a conveyer 600 .
- the conveyer 600 To the other end of the electromagnetic wave transceiver 200 is connected the conveyer 600 .
- the conveyer 600 may have a power structure that allows for a straight-line convey, such as a stepping motor structure or an oil-pressure cylinder structure.
- the conveyer 600 is constructed to convey the electromagnetic wave transceiver 200 , which is disposed to move along a radial direction within the cylindrical reaction container 100 , in a straight line forward and backward.
- the conveyer 600 is constructed to convey the electromagnetic wave transceiver 200 in the straight line. Therefore, the electromagnetic wave transceiver 200 can transmit/receive electromagnetic wave while moving in the straight line within the plasma 100 a. Furthermore, there is provided a structure capable of analyzing, measuring, and monitoring spatial distributions of an electron density and electron temperature of a corresponding plasma 100 a.
- FIG. 4 a is a graph illustrating cutoff frequencies measured using the monitoring apparatus according to an embodiment of the present invention
- FIG. 4 b is a graph illustrating absorption frequencies measured using the monitoring apparatus according to an embodiment of the present invention.
- the X axis denotes a frequency band (Hz) and the Y axis denotes an amplitude of electromagnetic wave (au.), which is received by the receive antenna 220 a.
- the amplitude increases, then decreases at about 1.5 ⁇ 10 9 Hz, and then becomes the lowest at a frequency of about 2.5 ⁇ 10 9 Hz (indicated by an arrow in the drawing).
- the cutoff frequency is a frequency of a band that does not transmit the plasma 100 a when the transmit antenna 210 a transmits the electromagnetic wave to the plasma 100 a as mentioned earlier. Accordingly, a very weak signal is received by the receive antenna 220 a.
- the cutoff frequency serves as an index to detect an electron density of the plasma 100 a.
- the electromagnetic wave generator 300 generates electromagnetic waves.
- the generated electromagnetic waves are consecutively transmitted to the transmit antenna 210 a through the first coaxial cable 210 on a frequency basis and are then transmitted to the plasma 100 a.
- the electromagnetic waves that have been transmitted and have been cut off and weaken in the plasma 100 a as described above are continuously received by the receive antenna 220 a.
- the electromagnetic waves are then transmitted to the frequency analyzer 400 connected to the second coaxial cable 220 and are then analyzed on a frequency-band basis.
- the analyzed data are transmitted to the computer 500 and are then indicated as the graph as shown in FIG. 4 a. Furthermore, what is indicated as a frequency band of the lowest amplitude in the graph is the cutoff frequency. Therefore, there is provided a structure in which the computer 500 can calculate/acquire an electron density of a corresponding plasma 100 a based on the cutoff frequency acquired through the above operation.
- an X axis denotes a frequency band (Hz) and a Y axis denotes a predetermined reflection coefficient (dB). Accordingly, in the case where electromagnetic waves are transmitted to a corresponding plasma 100 a, an absorption frequency can be acquired by analyzing electromagnetic wave of a corresponding frequency having the lowest reflection coefficient through a process in which the electromagnetic wave is reflected and received.
- Analyzed data of the absorption frequency obtained as described above are transmitted to the computer 500 . Accordingly, there is provided a structure in which the computer 500 can measure an electron temperature of a corresponding plasma 100 a based on the analyzed data.
- FIG. 5 is a graph illustrating electron density and electron temperature measured using the monitoring apparatus according to an embodiment of the present invention.
- an X axis denotes a pressure (mTorr) of the plasma 100 a within the reaction container 100
- a Y axis on the right side denotes an electron density (cm ⁇ 3 ) of the plasma 100 a on a pressure basis
- a Y axis on the left side denotes an electron temperature (eV) of the plasma 100 a on a pressure basis.
- FIG. 5 shows that the slope of the graph of the electron density indicated by a straight line and triangles is opposite to the slope of the graph of the electron temperature indicated by a straight line and squares.
- the apparatus for monitoring an electron density and electron temperature of a plasma has a structure in which one electromagnetic wave transceiver 200 in which the conveyer 600 is connected to one end of the reaction container 100 is mounted.
- the present invention can be applied to a structure in which respective electromagnetic wave transceivers 200 are mounted in the other side, and upper and lower sides of the reaction container 100 , and the conveyers 600 are connected to the respective electromagnetic wave transceivers 200 and measure three-dimensional spatial distributions of an electron density and electron temperature of the X-Y-Z axis while moving within the reaction container 100 in the respective axial directions.
- the transmit antenna 210 a and the receive antenna 220 a of the straight-line type have been illustrated above as means for transmitting and receiving electromagnetic wave. It is however to be noted that a loop antenna, a superturnstile antenna, an excitation antenna, a parabola antenna or the like may be selectively used as the means for transmitting and receiving electromagnetic wave.
- FIG. 6 is a flowchart illustrating a method of measuring an electron temperature of a plasma according to an embodiment of the present invention.
- a method of monitoring an electron temperature using the electron temperature monitoring apparatus of the present invention includes a first step (S 1 ) of allowing the electromagnetic wave generator 300 to apply electromagnetic wave of a predetermined frequency to the transmit antenna 210 a, a second step (S 2 ) of allowing the receive antenna 220 a to analyze a frequency of the electromagnetic wave received from the transmit antenna 210 a, a third step (S 3 ) of measuring a cutoff frequency based on the analyzed frequency, a fourth step (S 4 ) of calculating an electron density of a plasma using the measured cutoff frequency, a fifth step (S 5 ) of allowing the electromagnetic wave generator 300 to transmit electromagnetic wave, monitor reflected wave returned to the transmit antenna 210 a, and measure a surface wave absorption frequency, and a sixth step (S 6 ) of calculating an electron temperature based on the plasma density and the absorption frequency found in the fourth step (S 4 ) and the fifth step (S 5 ), respectively.
- the plasma itself includes a unique plasma frequency whose state is changed.
- the plasma frequency is directly related to the plasma density. Therefore, the electron density of the plasma can be measured directly by measuring the plasma frequency.
- the frequency has a property that if the electromagnetic wave is incident on the plasma, it is cut off and does not transmit the plasma. Therefore, if the electromagnetic wave generating apparatus transmits a frequency of 50 kHz to 10 GHz to the transmit antenna, the electromagnetic wave output from the transmit antenna can be received by the receive antenna.
- electromagnetic wave having the plasma frequency decided according to the plasma density does not pass through the plasma. Accordingly, the electromagnetic wave is not received by the receive antenna or only a very weak signal is received by the receive antenna.
- the cutoff frequency of the lowest value can be found from the frequency spectrum through the frequency analyzer 400 .
- the cutoff frequency is a plasma frequency ( ⁇ pe ).
- the electron density of the plasma can be found based on the plasma frequency ( ⁇ pe ) in accordance with the following Equation 1.
- ⁇ pe is the plasma frequency
- n e is the electron density of the plasma
- ⁇ 0 is the dielectric constant in the vacuum
- e and m e are the electron charge and mass, respectively.
- the electromagnetic wave generator 300 transmits electromagnetic wave and the transmit antenna 210 a monitors returned reflected wave, a surface wave absorption frequency of the transmit antenna 210 a can be measured.
- Equation 2 the spectrum of the electromagnetic wave reflected from the transmit antenna 210 a of FIG. 1 is shown in FIG. 4 b.
- a dispersion equation of the surface wave can be expressed in the following Equation 2.
- ⁇ is the absorption frequency
- ⁇ pe is the plasma frequency
- K m , I m , K m ′, and I m ′ are modified Bessel functions
- ⁇ 2 ⁇ / ⁇
- ⁇ 2l
- l is the length of the transmit antenna
- a is the radius from the center of a metal unit of the transmit antenna to the boundary of the sheath
- b is the radius of the metal unit of the transmit antenna.
- an electron temperature T e can be found using the surface wave dispersion equation of the above-mentioned Equation 2, a Debye length ⁇ d defined by the following Equation 3, and the width s of the sheath.
- FIG. 2 shows the relationship between the sheath width s of the transmit antenna, and “a” and “b”.
- ⁇ d is the Debye length
- T e is the electron temperature of the plasma
- n e is the electron density of the plasma
- ⁇ 0 is the dielectric constant in the vacuum
- e is the electron charge
- n is a given integer.
- the cutoff frequency is the plasma frequency ⁇ pe and other parameters are constants corresponding to a structural antenna size. Accordingly, the electron temperature T e can be found by measuring the absorption frequency ⁇ .
- an electron density and electron temperature of a plasma can be measured by detecting an eigenfrequency. Therefore, the present invention is advantageous in that it can be applied to a thin film plasma chemical deposition method of a semiconductor fabrication process, a plasma process apparatus in a dry etch process, and so on.
- the apparatus of the present invention can be used as a plasma real-time monitoring apparatus. Therefore, there is an advantage in that the apparatus of the present invention can be utilized as a reliable process equipment since it can check a current status of a process equipment.
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Abstract
The present invention relates to an apparatus and method for monitoring an electron density and electron temperature of a plasma. The apparatus includes an electromagnetic wave generator that continuously transmits electromagnetic wave of a series of frequency bands, an electromagnetic wave transceiver connected to a plasma within a reaction container and electrically connected to the electromagnetic wave generator so that a frequency of the transmitted electromagnetic wave is correlated to the electron density and electron temperature of the plasma, the electromagnetic wave transceiver transmitting the electromagnetic wave, a frequency analyzer electrically connected to the electromagnetic wave transceiver, for analyzing the frequency of the electromagnetic wave received from the electromagnetic wave transceivers and a computer electrically connected to the electromagnetic wave generator and the frequency analyzer, for calculating a correlation between the electron density and electron temperature, and a corresponding electromagnetic wave based on a frequency band-based transmission command of the electromagnetic wave and the analyzed data.
Description
- 1. Field of the Invention
- The present invention relates, in general, to a technique that measures and monitors an electron density and an electron temperature of a plasma by probing and scanning each eigenfrequency, which is correlated to an electron density and electron temperature of a plasma, in order to monitor a process status using the plasma, such as a semiconductor fabrication process. More particularly, the present invention relates to an apparatus for monitoring an electron density and electron temperature of a plasma, including a probe of an antenna structure for transmitting/receiving a series of electromagnetic waves of a band to/from a corresponding plasma and an analysis tool for analyzing the bands of specific electromagnetic wave cutoff frequency and absorption frequency of electromagnetic waves transmitted, which are cut off or absorbed with respect to a corresponding plasma, and calculating an electron density and electron temperature of the corresponding plasma based on the analysis result, and a method thereof.
- 2. Background of the Related Art
- In general, in the semiconductor fabrication process, plasma has been widely used due to the necessity of the miniaturization and low temperature of the process. Equipments used to fabricate semiconductor devices include an ion implantation equipment for implanting a desired impurity into a predetermined region of a wafer, a furnace for growing a thermal oxide layer, a deposition equipment for depositing a conduction layer or an insulating layer on the wafer, exposure and etch equipments for patterning the deposited conduction layer or the deposited insulating layer in a desired form, and the like.
- Of the equipments, a plasma equipment for forming plasma within a sealed chamber of a vacuum state and implanting a reaction gas to deposit or etch a material layer has been widely used as the equipment for depositing a predetermined material layer on the wafer or etching a predetermined material layer formed in the wafer.
- This is because if a material layer is deposited using plasma, a process can be performed at low temperature, such as that impurities within an impurity region formed in the wafer no longer diffuse, and the regularity in the thickness of the material layer formed in a wafer having a large diameter is good.
- In a similar way, this is because if a predetermined material layer formed on the wafer is etched using plasma, the etch regularity is good over the entire waver.
- In the plasma apparatus, tools capable of measuring an electron density and an ion density within plasma include Langmuir probe, a plasma oscillation probe, a plasma absorption probe, an OES (Optical Emission Spectroscopy), a laser Thomson scattering method, and so on.
- The Langmuir probe of the tools is widely used. In the conventional Langmuir probe, in order to measure the plasma characteristic, the probe is inserted into plasma within a plasma chamber from the outside, and voltages are varied from a negative potential to a positive potential (i.e., in the range of −200V to 200V) and are measured by varying an externally supplied DC.
- At this time, if a negative voltage is applied to the end of the probe, positive ions within the plasma are absorbed by the probe and a current is therefore generated due to the ions. If a positive voltage is applied to the end of the probe, electrons within the plasma are absorbed by the probe and a current is therefore generated due to the electrons. In this case, the concentration of the plasma can be measured by measuring the generated current in order to analyze the correlation between the generated current and the voltage applied to the probe.
- In the conventional Langmuir probe, the plasma density can be measured in real-time while the process is performed because the plasma density is measured by inserting the probe into the chamber. However, the conventional Langmuir probe has a noise problem due to RF (Radio Frequency) oscillation, a problem in that a thin film material is deposited on the probe at the time of depositing the material in the semiconductor process, a problem in that the probe becomes small due to etching at the time of a dry etch process, and the like. This makes it impossible to apply the Langmuir probe to an actual mass-production process.
- Furthermore, the conventional plasma oscillation probe is constructed to use an electron beam and employs a hot filament in order to produce the electron beam. However, the plasma oscillation probe is problematic in that it has a narrow operating condition, such as that corresponding hot filament is broken at a pressure of 50 mT or more. The plasma oscillation probe is also problematic in that the reaction container is polluted due to the evaporation of hot filament upon heating in order to emit thermal electrons.
- Furthermore, the conventional plasma absorption probe is problematic in that correction must be carried out using an accurate plasma density diagnosis tool before operation. A structure for improving the problem has been proposed. However, the proposed structure requires several steps of complicate calculation processes for calculating an absolute value of a measurement density. In this case, the proposed structure is problematic in that the effectiveness is low since physically assumed conditions are included.
- In addition, the electron temperature measurement method employing OES is problematic in that it is commercially applied since sufficient data are not accumulated.
- Finally, the laser Thomson scattering method is problematic in that it is used only within a laboratory other than a mass-production system because the size is very large and the structure is very complicate.
- Therefore, there is an urgent need for technology of a device structure, which can overcome the conventional problems, can measure an electron density and electron temperature of a plasma more rapidly and accurately, can monitor a process thereof in real-time, and can be applied to the mass-production system with less limitations.
- Accordingly, the present invention has been made in view of the above problems occurring in the prior art, and it is a first object of the present invention to provide an apparatus for monitoring an electron density and electron temperature of a plasma, including an electromagnetic wave transceiver of an antenna structure, which can transmit/receive electromagnetic waves of a series of bands so that a frequency band that is correlated to an electron density and electron temperature can be measured/monitored in real-time.
- It is a second object of the present invention to provide an apparatus for monitoring an electron density and electron temperature of a plasma, including a frequency analyzer for analyzing a cutoff frequency and an absorption frequency that are correlated to a corresponding electron density and electron temperature based on a frequency band of received electromagnetic wave.
- It is a third object of the present invention to provide an apparatus for monitoring an electron density and electron temperature of a plasma, including a conveyer for conveying an electromagnetic wave transceiver within a reaction container such that spatial distributions can be measured by measuring the electron density and electron temperature of the plasma on a position basis within a plasma reaction container.
- To achieve the above objects, according to an aspect of the present invention, there is provided an apparatus for monitoring an electron density and electron temperature of a plasma, including an electromagnetic wave generator that continuously transmits electromagnetic wave of a series of frequency bands, an electromagnetic wave transceiver connected to a plasma within a reaction container and electrically connected to the electromagnetic wave generator so that a frequency of the transmitted electromagnetic wave is correlated to the electron density and electron temperature of the plasma, the electromagnetic wave transceiver transmitting the electromagnetic wave, a frequency analyzer electrically connected to the electromagnetic wave transceiver, for analyzing the frequency of the electromagnetic wave received from the electromagnetic wave transceiver, and a computer electrically connected to the electromagnetic wave generator and the frequency analyzer, for calculating a correlation between the electron density and electron temperature, and a corresponding electromagnetic wave based on a frequency band-based transmission command of the electromagnetic wave and the analyzed data.
- The electromagnetic wave transceiver may include first and second coaxial cables that are electrically connected to the electromagnetic wave generator and the frequency analyzer, respectively, and are disposed in parallel, and a transmit antenna and a receive antenna that are connected to and projected from one ends of the first and second coaxial cables, respectively, on the same axial line and are connected to the plasma in order to transmit and receive the electromagnetic wave.
- Each of the first and second coaxial cables may include a dielectric-coated layer coated/shielded at a predetermined thickness.
- Furthermore, the apparatus may further include a conveyer connected to the other end of the electromagnetic wave transceiver, for causing the electromagnetic wave transceiver to be selectively conveyed within the reaction container.
- The conveyer may be driven by a stepping motor.
- Alternatively, the conveyer may be driven by an oil-pressure cylinder.
- It is preferred that the electromagnetic wave transceiver is disposed along a radial direction of the reaction container in obtaining characteristic distributions of the plasma within the reaction container.
- Further objects, specific merits and novel characteristics of the invention will become more apparent from the following detailed description and exemplary embodiments taken in conjunction with the accompanying drawings.
- Further objects and advantages of the invention can be more fully understood from the following detailed description taken in conjunction with the accompanying drawings in which:
-
FIG. 1 shows the construction of an apparatus for monitoring an electron density and electron temperature of a plasma according to an embodiment of the present invention; -
FIG. 2 is a cross-sectional view of transmit/receive antennas shown inFIG. 1 ; -
FIG. 3 is a view illustrating convey within a reaction container of an electromagnetic wave transceiver shown inFIG. 1 ; -
FIG. 4 a is a graph illustrating cutoff frequencies measured using the monitoring apparatus according to an embodiment of the present invention; -
FIG. 4 b is a graph illustrating absorption frequencies measured using the monitoring apparatus according to an embodiment of the present invention; -
FIG. 5 is a graph illustrating electron density and electron temperature measured using the monitoring apparatus according to an embodiment of the present invention; and -
FIG. 6 is a flowchart illustrating a method of measuring an electron temperature of a plasma according to an embodiment of the present invention. - An apparatus for monitoring an electron density and electron temperature of a plasma according to an embodiment of the present invention will now be described in detail with reference to the accompanying drawings.
-
FIG. 1 shows the construction of an apparatus for monitoring an electron density and electron temperature of a plasma according to an embodiment of the present invention.FIG. 2 is a cross-sectional view of transmit/receive antennas shown inFIG. 1 . - Referring to
FIGS. 1 and 2 , the monitoring apparatus according to the present invention is adapted to measure a corresponding characteristic value and monitor the characteristic value in real-time, by finding a correlation between the characteristics of electromagnetic wave and aplasma 100 a (more particularly, an electron density, an electron temperature, and so on) and monitoring. - In order to have the correlation, the monitoring apparatus of the present invention includes an
electromagnetic wave transceiver 200 for transmitting/receiving electromagnetic wave to/from theplasma 100 a. For the purpose of such transmission/reception, theelectromagnetic wave transceiver 200 has an antenna structure. - What is contained in a
cylindrical reaction container 100 is theplasma 100 a. It has been known that if electromagnetic wave of a specific band is transmitted to theplasma 100 a, corresponding electromagnetic wave is cut off or absorbed. A specific electromagnetic wave of a frequency band that is cut off or absorbed as described above becomes the index of an electron density or an electron temperature of theplasma 100 a. It is therefore possible to obtain an electron density and electron temperature of theplasma 100 a based on a correlation between the electromagnetic wave and theplasma 100 a. - The correlation is established in the
electromagnetic wave transceiver 200. Anelectromagnetic wave generator 300 and thefrequency analyzer 400 are electrically connected to theelectromagnetic wave transceiver 200 in order to transmit electromagnetic wave to theelectromagnetic wave transceiver 200 or to analyze received electromagnetic wave. - In this case, the
electromagnetic wave transceiver 200 includes twocoaxial cables coaxial cables layer 230 and a ground shield, for preventing thecoaxial cables layer 230 may be formed of alumina or quartz. - Furthermore, transmit/receive
antennas 210 a, 220 b are connected to and projected from one ends of thecoaxial cables plasma 100 a. - Referring to
FIG. 2 , if themetal antennas sheath 240 having a thickness “s” is formed on an outer surface of the antenna, thus surrounding the circumference of the antenna. In the present embodiment, theantennas antennas - The
electromagnetic wave generator 300 is connected to the other end of the firstcoaxial cable 210 and consecutively transmits electromagnetic waves of a frequency band of about 50 kHz to 10 GHz to the firstcoaxial cable 210 and the transmitantenna 210 a. Consequently, a series of electromagnetic waves of a frequency band can be transmitted to theplasma 100 a consecutively. - In this case, the cutoff frequency of the transmitted electromagnetic waves is cut off with respect to the
plasma 100 a. The cutoff frequency can be used to calculate and obtain an electron density of acorresponding plasma 100 a. Furthermore, an electromagnetic wave of a band absorbed by theplasma 100 a is an absorption electromagnetic wave, which can be used to calculate and obtain an electron temperature of acorresponding plasma 100 a. - The
frequency analyzer 400 is also connected to the other end of the secondcoaxial cable 220. Thefrequency analyzer 400 serves to analyze an amplitude from a frequency of electromagnetic wave, which is received and obtained by the receiveantenna 220 a and the secondcoaxial cable 220. - If the transmitted electromagnetic wave is cut off, however, the receive rate of the electromagnetic wave in the receive
antenna 220 a is very weak. Accordingly, the electromagnetic wave of the weakest receive rate can be analyzed as the cutoff frequency. Thefrequency analyzer 400 can identify the weakest frequency by analyzing a frequency, an amplitude, and so on of the obtained electromagnetic wave. It is therefore possible to analyze/obtain the cutoff frequency. - Furthermore, if there is electromagnetic wave absorbed by the
plasma 100 a, the electromagnetic wave is weakly reflected from the transmitantenna 220 a and the firstcoaxial cable 220. It causes to generate resonance in the sheath space between theplasma 100 a and the transmitantenna 220 a by way of a kind of a cavity, resulting in a strong absorption of the electromagnetic wave. Therefore, a signal of the reflected electromagnetic wave becomes the weakest. That is, it is meant that a ratio in which the electromagnetic wave is reflected from the transmit antenna again is low. It is possible to obtain/acquire a corresponding frequency band of the absorbed electromagnetic wave by analyzing a frequency band, amplitude, etc. of the weakly reflected electromagnetic wave. Accordingly, there is provided a structure capable of analyzing/acquiring an absorption frequency band. - A
computer 500 is provided to calculate an electron density and an electron temperature based on the occurrence of a series of the electromagnetic waves, a received command, and analyzed frequency data. Thecomputer 500 is electrically connected theelectromagnetic wave generator 300 and thefrequency analyzer 400. - Therefore, if the
electromagnetic wave transceiver 200 is connected to theplasma 100 a within thereaction container 100 and transmits electromagnetic wave, a frequency band, etc. is obtained from a weakly received electromagnetic wave and data of a cutoff frequency and an absorption frequency are transmitted to thecomputer 500. Calculation equations capable of calculating an electron density and/or an electron temperature based on a frequency are programmed into thecomputer 500. Accordingly, a structure that can calculate and acquire an electron density and electron temperature of acorresponding plasma 100 a can be provided. -
FIG. 3 is a view illustrating convey within thereaction container 100 of theelectromagnetic wave transceiver 200 shown inFIG. 1 . - As shown in
FIG. 3 , the monitoring apparatus according to the present invention includes aconveyer 600. To the other end of theelectromagnetic wave transceiver 200 is connected theconveyer 600. - In the present invention, the
conveyer 600 may have a power structure that allows for a straight-line convey, such as a stepping motor structure or an oil-pressure cylinder structure. Theconveyer 600 is constructed to convey theelectromagnetic wave transceiver 200, which is disposed to move along a radial direction within thecylindrical reaction container 100, in a straight line forward and backward. - As described above, the
conveyer 600 is constructed to convey theelectromagnetic wave transceiver 200 in the straight line. Therefore, theelectromagnetic wave transceiver 200 can transmit/receive electromagnetic wave while moving in the straight line within theplasma 100 a. Furthermore, there is provided a structure capable of analyzing, measuring, and monitoring spatial distributions of an electron density and electron temperature of acorresponding plasma 100 a. -
FIG. 4 a is a graph illustrating cutoff frequencies measured using the monitoring apparatus according to an embodiment of the present invention, andFIG. 4 b is a graph illustrating absorption frequencies measured using the monitoring apparatus according to an embodiment of the present invention. - Referring to
FIG. 4 a, the X axis denotes a frequency band (Hz) and the Y axis denotes an amplitude of electromagnetic wave (au.), which is received by the receiveantenna 220 a. FromFIG. 4 a, it can be seen that as the frequency increases, the amplitude increases, then decreases at about 1.5×109 Hz, and then becomes the lowest at a frequency of about 2.5×109 Hz (indicated by an arrow in the drawing). A portion indicating the lowest amplitude, of ones in which the electromagnetic wave received as described above is indicated as the frequency band versus the amplitude, is the cutoff frequency. - The cutoff frequency is a frequency of a band that does not transmit the
plasma 100 a when the transmitantenna 210 a transmits the electromagnetic wave to theplasma 100 a as mentioned earlier. Accordingly, a very weak signal is received by the receiveantenna 220 a. The cutoff frequency serves as an index to detect an electron density of theplasma 100 a. - In the present embodiment, the
electromagnetic wave generator 300 generates electromagnetic waves. The generated electromagnetic waves are consecutively transmitted to the transmitantenna 210 a through the firstcoaxial cable 210 on a frequency basis and are then transmitted to theplasma 100 a. - The electromagnetic waves that have been transmitted and have been cut off and weaken in the
plasma 100 a as described above are continuously received by the receiveantenna 220 a. The electromagnetic waves are then transmitted to thefrequency analyzer 400 connected to the secondcoaxial cable 220 and are then analyzed on a frequency-band basis. - The analyzed data are transmitted to the
computer 500 and are then indicated as the graph as shown inFIG. 4 a. Furthermore, what is indicated as a frequency band of the lowest amplitude in the graph is the cutoff frequency. Therefore, there is provided a structure in which thecomputer 500 can calculate/acquire an electron density of acorresponding plasma 100 a based on the cutoff frequency acquired through the above operation. - In addition, referring to
FIG. 4 b, an X axis denotes a frequency band (Hz) and a Y axis denotes a predetermined reflection coefficient (dB). Accordingly, in the case where electromagnetic waves are transmitted to acorresponding plasma 100 a, an absorption frequency can be acquired by analyzing electromagnetic wave of a corresponding frequency having the lowest reflection coefficient through a process in which the electromagnetic wave is reflected and received. - Analyzed data of the absorption frequency obtained as described above are transmitted to the
computer 500. Accordingly, there is provided a structure in which thecomputer 500 can measure an electron temperature of acorresponding plasma 100 a based on the analyzed data. -
FIG. 5 is a graph illustrating electron density and electron temperature measured using the monitoring apparatus according to an embodiment of the present invention. - Referring to
FIG. 5 , an X axis denotes a pressure (mTorr) of theplasma 100 a within thereaction container 100, and a Y axis on the right side denotes an electron density (cm−3) of theplasma 100 a on a pressure basis and a Y axis on the left side denotes an electron temperature (eV) of theplasma 100 a on a pressure basis. - From
FIG. 5 , it can be seen that in the case where argon (Ar) plasma is used in the present invention, the electron density of theplasma 100 a increases as the gas pressure increases, but the electron temperature of theplasma 100 a decreases as the discharge gas pressure increases. - Therefore,
FIG. 5 shows that the slope of the graph of the electron density indicated by a straight line and triangles is opposite to the slope of the graph of the electron temperature indicated by a straight line and squares. - It has been illustrated above that the apparatus for monitoring an electron density and electron temperature of a plasma according to an embodiment of the present invention has a structure in which one
electromagnetic wave transceiver 200 in which theconveyer 600 is connected to one end of thereaction container 100 is mounted. However, the present invention can be applied to a structure in which respectiveelectromagnetic wave transceivers 200 are mounted in the other side, and upper and lower sides of thereaction container 100, and theconveyers 600 are connected to the respectiveelectromagnetic wave transceivers 200 and measure three-dimensional spatial distributions of an electron density and electron temperature of the X-Y-Z axis while moving within thereaction container 100 in the respective axial directions. - Furthermore, the transmit
antenna 210 a and the receiveantenna 220 a of the straight-line type have been illustrated above as means for transmitting and receiving electromagnetic wave. It is however to be noted that a loop antenna, a superturnstile antenna, an excitation antenna, a parabola antenna or the like may be selectively used as the means for transmitting and receiving electromagnetic wave. -
FIG. 6 is a flowchart illustrating a method of measuring an electron temperature of a plasma according to an embodiment of the present invention. - Referring to
FIG. 6 , a method of monitoring an electron temperature using the electron temperature monitoring apparatus of the present invention includes a first step (S1) of allowing theelectromagnetic wave generator 300 to apply electromagnetic wave of a predetermined frequency to the transmitantenna 210 a, a second step (S2) of allowing the receiveantenna 220 a to analyze a frequency of the electromagnetic wave received from the transmitantenna 210 a, a third step (S3) of measuring a cutoff frequency based on the analyzed frequency, a fourth step (S4) of calculating an electron density of a plasma using the measured cutoff frequency, a fifth step (S5) of allowing theelectromagnetic wave generator 300 to transmit electromagnetic wave, monitor reflected wave returned to the transmitantenna 210 a, and measure a surface wave absorption frequency, and a sixth step (S6) of calculating an electron temperature based on the plasma density and the absorption frequency found in the fourth step (S4) and the fifth step (S5), respectively. - In the case of a process employing common plasma, the plasma itself includes a unique plasma frequency whose state is changed. The plasma frequency is directly related to the plasma density. Therefore, the electron density of the plasma can be measured directly by measuring the plasma frequency.
- In the event that a frequency of common electromagnetic wave corresponds to the plasma frequency, the frequency has a property that if the electromagnetic wave is incident on the plasma, it is cut off and does not transmit the plasma. Therefore, if the electromagnetic wave generating apparatus transmits a frequency of 50 kHz to 10 GHz to the transmit antenna, the electromagnetic wave output from the transmit antenna can be received by the receive antenna.
- At this time, electromagnetic wave having the plasma frequency decided according to the plasma density does not pass through the plasma. Accordingly, the electromagnetic wave is not received by the receive antenna or only a very weak signal is received by the receive antenna.
- That is, as shown in
FIG. 4 a, the cutoff frequency of the lowest value can be found from the frequency spectrum through thefrequency analyzer 400. The cutoff frequency is a plasma frequency (ωpe). The electron density of the plasma can be found based on the plasma frequency (ωpe) in accordance with the followingEquation 1. -
μp2 =[n e e 2/ε0 m e]1/2 [Equation 1] - where ωpe is the plasma frequency, ne is the electron density of the plasma, ε0 is the dielectric constant in the vacuum, and e and me are the electron charge and mass, respectively.
- Meanwhile, if the
electromagnetic wave generator 300 transmits electromagnetic wave and the transmitantenna 210 a monitors returned reflected wave, a surface wave absorption frequency of the transmitantenna 210 a can be measured. - In other words, the spectrum of the electromagnetic wave reflected from the transmit
antenna 210 a ofFIG. 1 is shown inFIG. 4 b. A dispersion equation of the surface wave can be expressed in the followingEquation 2. -
[1−[ωpe/ω]2 ]={K m(βa)I m′(βa)K m(βb)−K m′(βa)I m(βb)}/{K m′(βa)I m′(βa)I m(βa)K m(βb)−K m(βa)I m(βb)} [Equation 2] - where ω is the absorption frequency, ωpe is the plasma frequency, Km, Im, Km′, and Im′ are modified Bessel functions, β=2π/λ, λ=2l, and l is the length of the transmit antenna, a is the radius from the center of a metal unit of the transmit antenna to the boundary of the sheath, and b is the radius of the metal unit of the transmit antenna.
- Furthermore, an electron temperature Te can be found using the surface wave dispersion equation of the above-mentioned
Equation 2, a Debye length λd defined by the following Equation 3, and the width s of the sheath.FIG. 2 shows the relationship between the sheath width s of the transmit antenna, and “a” and “b”. -
λd=(ε0 T w /n e e 2)1/2 [Equation 3] -
s=nλd - where λd is the Debye length, Te is the electron temperature of the plasma, ne is the electron density of the plasma, ε0 is the dielectric constant in the vacuum, e is the electron charge, s is the width of the sheath wherein s=a−b, and n is a given integer.
- Therefore, the cutoff frequency is the plasma frequency ωpe and other parameters are constants corresponding to a structural antenna size. Accordingly, the electron temperature Te can be found by measuring the absorption frequency ω.
- In accordance with an apparatus and method for monitoring an electron density and electron temperature of a plasma according to the present invention, an electron density and electron temperature of a plasma can be measured by detecting an eigenfrequency. Therefore, the present invention is advantageous in that it can be applied to a thin film plasma chemical deposition method of a semiconductor fabrication process, a plasma process apparatus in a dry etch process, and so on.
- Furthermore, the apparatus of the present invention can be used as a plasma real-time monitoring apparatus. Therefore, there is an advantage in that the apparatus of the present invention can be utilized as a reliable process equipment since it can check a current status of a process equipment.
- While the present invention has been described with reference to the particular illustrative embodiments, it is not to be restricted by the embodiments but only by the appended claims. It is to be appreciated that those skilled in the art can change or modify the embodiments without departing from the scope and spirit of the present invention.
Claims (11)
1. An apparatus for monitoring an electron density and electron temperature of a plasma, comprising:
an electromagnetic wave generator that continuously transmits electromagnetic wave of a series of frequency bands;
an electromagnetic wave transceiver connected to a plasma within a reaction container and electrically connected to the electromagnetic wave generator so that a frequency of the transmitted electromagnetic wave is correlated to the electron density and electron temperature of the plasma, the electromagnetic wave transceiver transmitting the electromagnetic wave;
a frequency analyzer electrically connected to the electromagnetic wave transceiver, for analyzing the frequency of the electromagnetic wave received from the electromagnetic wave transceiver; and
a computer electrically connected to the electromagnetic wave generator and the frequency analyzer, for calculating a correlation between the electron density and electron temperature, and a corresponding electromagnetic wave based on a frequency band-based transmission command of the electromagnetic wave and the analyzed data.
2. The apparatus as claimed in claim 1 , wherein the electromagnetic wave transceiver comprises:
first and second coaxial cables that are electrically connected to the electromagnetic wave generator and the frequency analyzer, respectively, and are disposed in parallel; and
a transmit antenna and a receive antenna that are connected to and projected from one ends of the first and second coaxial cables, respectively, on the same axial line and are connected to the plasma in order to transmit and receive the electromagnetic wave.
3. The apparatus as claimed in claim 2 , wherein each of the first and second coaxial cables comprises a dielectric-coated layer coated/shielded at a predetermined thickness.
4. The apparatus as claimed in claim 1 , further comprising a conveyer connected to the other end of the electromagnetic wave transceiver, for causing the electromagnetic wave transceiver to be selectively conveyed within the reaction container.
5. The apparatus as claimed in claim 4 , wherein the conveyer is driven by a stepping motor.
6. The apparatus as claimed in claim 5 , wherein the electromagnetic wave transceiver is disposed along a radial direction of the reaction container.
7. The apparatus as claimed in claim 6 , wherein the conveyer is driven by an oil-pressure cylinder.
8. The apparatus as claimed in claim 7 , wherein the electromagnetic wave transceiver is disposed along a radial direction of the reaction container.
9. A method of monitoring an electron density and electron temperature of a plasma using an apparatus including an electromagnetic wave generator that continuously transmits electromagnetic wave of a series of frequency bands; an electromagnetic wave transceiver connected to a plasma within a reaction container and electrically connected to the electromagnetic wave generator so that a frequency of the transmitted electromagnetic wave is correlated to the electron density and electron temperature of the plasma, the electromagnetic wave transceiver transmitting the electromagnetic wave; a frequency analyzer electrically connected to the electromagnetic wave transceiver, for analyzing the frequency of the electromagnetic wave received from the electromagnetic wave transceiver; and a computer electrically connected to the electromagnetic wave generator and the frequency analyzer, for calculating a correlation between the electron density and electron temperature, and a corresponding electromagnetic wave based on a frequency band-based transmission command of the electromagnetic wave and the analyzed data, the method comprising:
a first step of allowing the electromagnetic wave generator to apply electromagnetic wave of a predetermined frequency to the transmit antenna;
a second step of allowing the receive antenna to analyze a frequency of the electromagnetic wave received from the transmit antenna;
a third step of measuring a cutoff frequency based on the analyzed frequency;
a fourth step of calculating an electron density of a plasma using the measured cutoff frequency;
a fifth step of allowing the electromagnetic wave generator to transmit electromagnetic wave, monitor reflected wave returned to the transmit antenna, and measure a surface wave absorption frequency; and
a sixth step of calculating an electron temperature of the plasma based on the electron density of the plasma and the absorption frequency found in the fourth step and the fifth step, respectively.
10. The method as claimed in claim 9 , wherein the electron density of the plasma in the fourth step is found according to the following Equation 1, i.e., a relational expression of a plasma frequency ωpe (.i e., the cutoff frequency).
ωpe =[n e e 2/ε0 m e]1/2 [Equation 1]
ωpe =[n e e 2/ε0 m e]1/2 [Equation 1]
where ωpe is the plasma frequency, ne is the electron density of the plasma, ε0 is a dielectric constant in the vacuum, and e and me are an electron charge and mass, respectively.
11. The method as claimed in claim 9 , wherein the electron temperature Te of the plasma in the sixth step is found according to the following Equation 2 and Equation 3.
[1−[ωpe/ω]2 ]={K m(βa)I m′(βa)K m(βb)−K m′(βa)I m(βb)}/{K m′(βa)I m(βa)K m(βb)−K m(βa)I m(βb)} [Equation 2]
[1−[ωpe/ω]2 ]={K m(βa)I m′(βa)K m(βb)−K m′(βa)I m(βb)}/{K m′(βa)I m(βa)K m(βb)−K m(βa)I m(βb)} [Equation 2]
where ω is the absorption frequency, ωpe is the plasma frequency, Km, Im, Km′, and Im′ are modified Bessel functions, β=2π/λ, λ=2l, and l is the length of the transmit antenna, a is a radius from the center of a metal unit of the transmit antenna to the boundary of a sheath, and b is a radius of the metal unit of the transmit antenna.
λd=(ε0 T e /n e e 2)1/2 [Equation 3]
s=nλd
λd=(ε0 T e /n e e 2)1/2 [Equation 3]
s=nλd
where λd is a Debye length, Te is the electron temperature, ne is the electron density of the plasma, ε0 is the dielectric constant in the vacuum, e is the electron charge, s is the width of the sheath wherein s=a−b, and n is a given integer.
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JP2015213020A (en) * | 2014-05-02 | 2015-11-26 | 三菱重工業株式会社 | Plasma generator with measurement device, and plasma propeller |
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US20220270852A1 (en) * | 2021-02-19 | 2022-08-25 | Korea Research Institute Of Standards And Science | Device for measuring plasma ion density and apparatus for diagnosing plasma using the same |
US11685820B2 (en) | 2016-08-24 | 2023-06-27 | Organoclick Ab | Bio-based polyelectrolyte complex compositions with increased hydrophobicity comprising fatty compounds |
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JP5618446B2 (en) * | 2010-08-17 | 2014-11-05 | 学校法人中部大学 | Probe and apparatus for measuring plasma electron density and temperature |
KR101244151B1 (en) * | 2010-12-28 | 2013-03-14 | 한국기초과학지원연구원 | Thomson scattering diagnostic data processing system by using EPICS based standard framework |
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US20050016683A1 (en) * | 2003-07-23 | 2005-01-27 | Korea Research Institute Of Standards And Science | Plasma electron density measuring and monitoring device |
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