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| United States Patent | 5122251 |
| Link to this page | http://www.wikipatents.com/5122251.html |
| Inventor(s) | Campbell; Gregor A. (Glendale, CA);
Conn; Robert W. (Los Angeles, CA);
Pearson; David C. (Los Angeles, CA);
deChambrier; Alexis P. (Burbank, CA);
Shoji; Tatsuo (Nagoya, JP) |
| Abstract | A high density ionized plasma is generated in a source chamber using a
single loop disposed in a plane that intercepts the central axis of the
source chamber perpendicularly or at a lesser angle and spaced from the
closed end of the chamber. With a longitudinal magnetic field and an inert
or reactive gas injected into the source chamber, excitation of the
antenna with RF energy in the 5 to 30 MHz establishes the M=0 excitation
mode or components of both the M=0 and M=1 modes. Low frequency whistler
waves are created which generate a uniform and high density plasma and
high plasma current. The plasma source thus defined is used in combination
with process chamber configurations in which static shaped or time
modulated magnetic fields enhance the distribution and uniformity of the
plasma at a substrate to be etched, deposited or sputtered. |
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Title Information  |
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Drawing from US Patent 5122251 |
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High density plasma deposition and etching apparatus |
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| Publication Date |
June 16, 1992 |
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| Filing Date |
February 4, 1991 |
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| Parent Case |
CROSS-REFERENCE TO RELATED APPLICATION
This application is a continuation-in-part of U.S. patent application Ser.
No. 07/365,533, filed Jun. 13, 1989 and issued Feb. 5, 1991 as U.S. Pat.
No. 4,990,229, which is hereby incorporated by reference. |
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Title Information  |
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References  |
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| Market Size |
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| Reasonable Royalty |
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Market Review  |
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Technical Review  |
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Claims  |
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What is claimed is:
1. A system for generating a high density plasma comprising:
a plasma confinement chamber of cylindrical form;
means for injecting a gas to be ionized into the chamber;
antenna means comprising a single loop element encompassing the cylindrical
chamber, the loop element being disposed in a plane at an angle of in
excess of 45.degree. to the central axis of the chamber, and positioned in
an intermediate region along the length of the chamber;
means disposed adjacent the chamber and the antenna means for generating a
longitudinal magnetic field in the chamber; and
means coupled to the antenna means for exciting the loop element with radio
frequency energy.
2. A system as set forth in claim 1 above, wherein the magnetic field is
less than 1000 gauss, the plasma density is in excess of 10.sup.13
/cm.sup.3, and the loop element is at an angle of about 90.degree.
relative to the magnetic field.
3. A system as set forth in claim 2 above, wherein the system has a first
plasma current and density peak in the range of about 50 gauss and a
second plasma and density peak in the range of about 400 gauss.
4. A system as set forth in claim 3 above, wherein the radio frequency
energy is in the range of 13.56 MHz and the means for exciting further
includes impedance matching means.
5. A system as set forth in claim 1 above, wherein the mode structure of
the wave electric field imparted by the loop element is the m-0 node and
has a pitch of 2.pi./k.sub.z, where k.sub.z is determined by the
dispersion relation, [.omega./.omega..sub.c -.omega..sub.p.sup.2 /C.sup.2
k.sub.z.sup.2 ].sup.2 =1+(3.83 k.sub.z a).sup.2 and a phase velocity of
.omega./k.sub.z, where .omega. is the frequency of excitation,
.omega..sub.c is the electron cyclotron angular frequency, .omega..sub.p
is the plasma frequency, k.sub.z is the axial wave number in the plasma
and a is the plasma radius.
6. A system as set forth in claim 5 above, wherein the plasma is excited
with low frequency whistler waves having the relation .OMEGA..sub.c
<.omega.<.omega..sub.c, wherein .OMEGA..sub.c is the ion cyclotron
frequency.
7. A system as set forth in claim 6 above, wherein the plasma density is in
excess of 10.sup.13 /cm.sup.3, and the chamber is a non-magnetic
insulating chamber.
8. A system as set forth in claim 1 above, wherein the cylindrical chamber
includes an exit aperture along the longitudinal axis, and the system
further includes a process chamber adjacent the cylindrical chamber and in
communication with the cylindrical chamber via the exit aperture and means
for supporting an element to be processed therein, and wherein the process
chamber has a greater cross-sectional area than cylindrical chamber.
9. A system as set forth in claim 8 above, wherein the process chamber
includes means for maintaining a plasma therein.
10. A system as set forth in claim 9 above, wherein the means for
maintaining a plasma comprises magnetic means about the process chamber
for defining a magnetic bucket chamber.
11. A system as set forth in claim 10 above, wherein the magnetic bucket
chamber is rectangular in plan and wherein the system comprises at least
two plasma confinement chambers having associated single loop antenna
elements thereabout, and disposed along the magnetic bucket chamber.
12. A system as set forth in claim 8 above, wherein the system comprises at
least two plasma confinement chambers, each having an associated single
loop antenna thereabout, and circuit means coupling the antennas in series
for exciting the antennas with radio frequency energy.
13. A system as set forth in claim 8 above, wherein the system further
comprises means for maintaining a substrate to be processed in the path of
the plasma in the process chamber.
14. A system as set forth in claim 13 above, wherein the system further
includes means for maintaining a magnetic cusp field in the region of the
substrate, the magnetic cusp field opposing the longitudinal magnetic
field in the chamber.
15. A system as set forth in claim 14 above, wherein the means for
maintaining a magnetic cusp field comprises means for varying the
intensity of the magnetic cusp field to time average the plasma flux
density at the substrate.
16. A system as set forth in claim 8 above, wherein the system comprises a
sputter target and a sputter target holder in the process chamber in the
path of the plasma, means for biasing the sputter target holder, and
substrate means about the plasma path between the cylindrical chamber and
the sputter target, in the path of material sputtered therefrom.
17. A plasma processing apparatus for processing a substrate, comprising:
(a) an antenna radiating electromagnetic waves in the RF range of
frequencies, consisting of single current loop located outside but
surrounding closely a plasma generating chamber;
(b) a cylindrical plasma generation chamber, the plasma generation chamber
being proximate to and in electromagnetic communication with the antenna,
such that the longitudinal axis of the cylindrical plasma generation
chamber and the plane of the current loop are either perpendicular or at
an angle less than 90.degree.;
(c) a first fluid injector, the first fluid injector introducing a fluid
into the plasma generation chamber, thereby permitting the creation of a
plasma within the plasma generation chamber;
(d) a magnetic field generator, the magnetic field generator generating a
magnetic field substantially parallel to the longitudinal axis of the
plasma generation chamber;
(e) a process chamber, the plasma being transported to the process chamber
by the magnetic field;
(f) a second fluid injector, the second fluid injector introducing a fluid
into the process chamber;
(g) a current controller, the current controller controlling the current
within the magnetic field generator, thereby controlling plasma shape;
(h) a substrate holder, the substrate holder residing within the process
chamber; and
(i) a substrate, the substrate being mounted on the substrate holder, the
substrate thereby being subjected to the plasma.
18. An apparatus as set forth in claim 17 above, further including:
(j) an auxiliary radio frequency generator for applying radio frequency
power to a substrate residing on the substrate holder;
(k) a radio frequency exciter, the radio frequency exciter generating a
radio frequency voltage and current; and
(l) a matching network, the matching network interconnecting the radio
frequency exciter and the antenna, thereby promoting the efficient
transfer of radio frequency energy from the radio frequency exciter to the
antenna.
19. The plasma processing apparatus of claim 17, wherein the substrate
holder is supported within the process chamber in a state of substantial
electrical insulation.
20. The plasma processing apparatus of claim 20, wherein the substrate
holder comprises:
(a) a copper block and
(b) thermal control means, permitting temperature regulation of the copper
block.
21. The plasma processing apparatus of claim 20, wherein the second fluid
injector is formed as a porous element, thereby permitting a gas to be
introduced within the element, the gas escaping from the element into the
process chamber.
22. The plasma processing apparatus of claim 21, wherein the porous element
is formed as a ring, the ring being constructed of tubing, the tubing
being perforated so as to permit the gas to escape from the ring into the
process chamber.
23. The plasma processing apparatus of claim 22, wherein the plasma
generation chamber is a quartz cylinder.
24. The plasma processing apparatus of claim 17, further comprising a
plurality of magnets, the magnets being arranged in a circumferential
manner proximate to the process chamber, succeeding magnets having
opposite orientations of north and south poles.
25. The plasma processing apparatus of claim 24, wherein the process
chamber has a cross sectional area that is larger than a cross section of
the plasma generation chamber.
26. The plasma processing apparatus of claim 25, wherein the process
chamber is formed substantially of stainless steel.
27. The plasma process apparatus of claim 26, wherein the cross section of
the process chamber is a regular geometric shape.
28. The plasma processing apparatus of claim 24, further comprising an
additional magnetic field generator, said generator being located behind
the substrate holder on the side of the substrate that is opposite to that
of the plasma generating chamber and being located in a plane
substantially parallel to that of the other magnetic field generator, and
which generates a magnetic field opposed to that of the other magnetic
field generator.
29. The plasma processing apparatus of claim 28 in which the magnetic field
generator located behind the substrate holder generates a time-varying
magnetic field.
30. The plasma processing apparatus of claim 17, further comprising an
additional magnetic field generator, said generator being located behind
the substrate holder on the side of the substrate that is opposite to that
of the plasma generating chamber and being located in a plane
substantially parallel to that of the other magnetic field generator, and
which generates a magnetic field opposed to that of the other magnetic
field generator.
31. The plasma processing apparatus of claim 30 in which the magnetic field
generator located behind the substrate holder generates a time-varying
magnetic field.
32. A plasma processing apparatus according to claim 17 for sputter
deposition, comprising:
(a) at least one target;
(b) biasing means, the biasing means applying a voltage to the target,
thereby causing ions of the plasma to bombard the target and causing
material from the target to be deposited on the substrate.
33. The plasma processing apparatus of claim 17, further comprising:
(a) a plurality of plasma generation chambers, each plasma generation
chamber being cooperatively connected to the processing chamber;
(b) a plurality of antennas, each antenna being electromagnetically coupled
to each plasma generation chamber; and
(c) a plurality of magnetic field generators, each magnetic field generator
being magnetically coupled to each plasma generation chamber.
34. The plasma processing apparatus of claim 17, further comprising:
(a) a plurality of plasma generation chambers, each plasma generation
chamber being cooperatively connected to the process chamber, each plasma
generation chamber being coaxial to the longitudinal axis of the plasma
generator chamber;
(b) a plurality of antennas, each antenna being electromagnetically coupled
to a respective plasma generation chamber;
(c) a plurality of magnetic field coils, the magnetic field coil being
proximate to the process chamber;
(d) a plurality of magnetic field generators, each magnetic field generator
being magnetically coupled to each plasma generator; and
(e) a plurality of substrate holders mounted within the process chamber. |
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Claims  |
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Description  |
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BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a plasma deposition or etching method and
various apparatus for depositing a thin film onto a substrate or for
removal (etching) of a film from a substrate.
2. Description of Related Technology
Etching
Plasma etching involves using chemically active atoms or energetic ions to
remove material from a substrate. It is a key technology in the
fabrication of semiconductor integrated circuits. However, before the
advent of microwave plasmas utilizing electron cyclotron resonance (ECR)
it was becoming difficult for conventional plasma etching techniques to
satisfy the requirements dictated by the increase in device packing
density. Specifically, the requirement for fine pattern etching without
undercutting (anisotropic etching) and the requirements for low damage and
high selectivity could hardly be satisfied at the same time.
Deposition
Plasma Enhanced Chemical Vapor Deposition is a widely used technique to
deposit materials on substrates in a host of applications. In normal CVD
the chemical reaction is driven by the temperature of the substrate and
for most reactions is high (>800.degree. C). The high substrate
temperature needed precludes use of this method in a number of
applications particularly in microelectronics, displays and optical
coatings. The role of the plasma is to dissociate and activate the
chemical gas so that the substrate temperature can be reduced. The rate of
dissociation, activation and ionization is proportional to the density of
the plasma. It is therefore of importance to make the plasma as dense as
possible.
Sputtering
Sputtering is also a widely used method for depositing materials onto
substrates for a wide variety of applications such as the production of
hard or decorative coatings and the coating of glass. In general, a plasma
is produced at the sputter target material and the sputter target is
biased to a negative voltage of around 700 V. Plasma ions, generally
argon, impact the surface and sputter the material which then transports
as neutral atoms to a substrate. Reactive gases can be introduced to
chemically react with the sputtered atoms at the host substrate in a
process called reactive sputter deposition. Rate is often important and it
is therefore important to make the plasma as dense as possible. Ionization
of reactive gases is also important and is helped by having plasma in the
vicinity of the substrate material. Sputtering is also done by ions
accelerated in an ion or plasma gun and then made to bombard the sputter
target. In this case, a bias voltage on the target is not necessary. For
sputtering insulating materials, RF voltage bias can be applied to the
sputter target.
Existing Methods
There are presently two widely used methods for plasma deposition and
etching, the parallel plate reactor and the ECR plasma deposition system.
Parallel Plate Reactor (Diode)
The RF diode has been widely used for both deposition and etching. It is
described in detail in the book by Chapman ("Glow Discharge Processes"
John Wiley & Sons 1980). It uses RF at 13.56 MHz capacitively coupled to
one electrode while the other electrode is grounded. The pressure in the
system is typically 1 mtorr-1 torr and the plasma density is typically
10.sup.10 electrons per cc. The rate at which both deposition or etching
occurs is dependent on the density of the plasma and the density
(pressure) of the reactive gas used to etch, or in CVD processes to
deposit.
In etching, the high pressure needed to sustain the discharge causes
collisions between the ions and the background gas. This causes the paths
of the etching ions or atoms to become randomized or non-directional,
leading to undercutting of the mask. This is referred to as an isotropic
etch. It is desirable to have the etch atoms or ions be directional so
that straight anisotropic etches can be achieved. At the high pressure
used in RF diode discharges it is necessary for the ions to have high
energy (greater than several hundred eV) to achieve an anisotropic etch.
However, the high energy of the ions can cause damage to the substrate,
film materials or photoresist.
The plasma is sustained by secondary electrons that are emitted by ions
impacting the cathode. These electrons are accelerated by the voltage drop
across the sheath which is typically 400-1000 V. These fast electrons can
bombard the substrate, causing it to have a high voltage sheath drop. This
high voltage can accelerate the ions leading to damage of the substrate or
film material. The presence of high energy electrons leading to high
voltage sheath drops is undesirable.
Electron Cyclotron Resonance Plasmas
The advent of using microwaves at 2.45 GHz and a magnetic field of 875
gauss to utilize electron cyclotron resonance allowed the generation of
high density plasmas at low pressure. The advantages of this technique for
plasma etching are described by Suzuki in an article entitled "Microwave
Plasma Etching" published in Vacuum 34 No. 10/11 1984. Due to a low gas
pressure 0.04-0.4 Pa) and high plasma density (1.7-7.times.10.sup.11
electrons/cm.sup.3) anisotropic etch with high etch rates is achievable.
Suzuki, in U.S. Pat. No. 4,101,411, describes a plasma etching apparatus
using ECR; Matsuo, in U.S. Pat. No. 4,401,054 describes a plasma
deposition apparatus utilizing ECR.
While this technique is desirable over the parallel plate reactor in many
respects, it has several limitations. The magnetic field needed is very
high (1-2 kG) which means that heavy, power consuming electromagnets must
be used. The maximum density is limited by either cut-off in certain
configurations or by refraction in other configurations to the value of
1.times.10.sup.12 electrons/cm.sup.3. The expense of the power supply and
necessary hardware to generate and transmit the microwaves is high. The
uniformity (or width of the plasma profile) is not very good.
SUMMARY OF THE INVENTION
The present invention utilizes low frequency RF whistler waves to generate
plasmas of high density for use in plasma etching, deposition, and
sputtering equipment. In conjunction with a source tube into which a gas
is injected and along the central axis of which a magnetic field is
established, a single loop antenna is disposed in a plane transverse to
the central axis. The angle of the antenna plane is 90.degree. if it is
desired to excite only M=0 mode, or at less than 90.degree. if it is
desired to excite components in both M=0 and M=1 mode. The gas is a noble
or reactive gas and at a pressure of 0.1 mtorr to 200 mtorr. The magnetic
field strength is in the range of 10 to 1000 gauss and the antenna is
driven with RF energy of 100 W to 5 KW at a frequency range of 2 MHz to 50
MHz. With the antenna placed along the tube source at a sufficient
distance along the axis from the gas injection end, the other end defining
an open egress zone leading to a process chamber, the single loop antenna
surprisingly provides highly efficient wave coupling to establish a high
density and high current plasma.
In accordance with other features of the invention the plasma generated by
this plasma source is supplied to a process chamber including a magnetic
bucket system for holding the plasma away from the process chamber walls.
The arrangement provides, in combination, a uniform plasma density over a
large circular area, so that a large substrate may be etched or otherwise
processed. Another feature is that a magnetic cusp zone may be
established, at the material surface being processed, to homogenize and
make more uniform the plasma at that location. An aspect of this is that
the magnetic cusp position relative to the substrate may be time modulated
to enhance uniformity and reduce sensitivity to substrate location.
Further, the magnetic field may be expanded to allow deposition or etching
over a large area and current flows may be equalized by serial driving of
antennas in systems having more than one antenna. Other features reside in
configurations which employ one or more multiple geometrical areas for
coating or etching of square or rectangular substrates, or a linear
juxtaposition for coating or etching large substrates.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a schematic diagram depicting the principle of operation and RF
current flow in a plasma source constructed according to the present
invention;
FIG. 2 is a schematic diagram of the basic configuration of a plasma
deposition or etching apparatus in combination with a plasma source as in
FIG. 1;
FIG. 3 is a schematic diagram of a second example of a system in accordance
with the present invention in which the plasma source region is connected
to a magnetic bucket region where uniformity requirements are important;
FIG. 3A is a plan view of the arrangement of FIG. 3, taken along the line
3A--3A in FIG. 3;
FIG. 4 is a perspective view of a third example of a system in the present
invention for deposition or etching over a large rectangular area where
uniformity is important;
FIG. 4A is a plan view of the arrangement of FIG. 4, taken along the line
4A--4A in FIG. 4;
FIG. 5 is a schematic diagram of yet another example of a system in
accordance with the present invention in which a bottom magnet is added
behind the plane of the substrate holder to provide a magnetic cusp field,
the plane of the cusp being approximately the same as the plane of the
substrate holder;
FIG. 5A is a plan view of the arrangement of FIG. 5, taken along the line
5A--5A in FIG. 5;
FIG. 6 is a schematic diagram of an example of a system in accordance with
the invention for sputter deposition;
FIG. 7 is a graph depicting the plasma current density at the substrate
location according to the example of FIG. 3 using the plasma source
depicted in FIG. 1 as a function of magnetic field in the source region;
FIG. 8 is a graph of the same data as in FIG. 7 but graphed on a linear
scale for magnetic field to show the plasma current density at the
substrate location where the magnetic field is low, varying from zero to
160 gauss;
FIG. 9 is a graph depicting the total plasma current (or total flux) at the
substrate location according to the invention as depicted in FIG. 3 using
the plasma source as depicted in FIG. 1 as a function of RF power to the
source at a gas pressure of 2 mtorr;
FIG. 10 is a graph depicting the plasma current density at the substrate
location according to the invention as depicted in FIG. 3 using the
antenna as depicted in FIG. 1 as a function of the gas pressure; and
FIG. 11 is a graph depicting the plasma current density at the substrate
location according to the invention as depicted in FIG. 3 and the plasma
source of FIG. 1 as a function of position to show the excellent
uniformity over a substantial width.
DETAILED DESCRIPTION OF THE INVENTION
A simplified view of principal elements and relationships in a device in
accordance with the invention is provided by the representation of FIG. 1,
wherein high density plasma is to be generated within a source tube 10 of
generally cylindrical form about a central (here vertical) axis. At one
(here upper) end an injector 11 feeds gas to be ionized into the interior
volume of the source tube, where the gas is excited by an external loop
antenna 12 that encompasses an intermediate region of the source tube 10.
The antenna loop 12 comprises in this example a not fully circular element
lying in a plane that is at 90.degree. or less in either sense relative to
the central axis. The direction of propagation of the plasma is here
downward toward an exit aperture 13. The antenna loop 12 has its opposite
ends coupled to the outer conductor 14 and center conductor 15 of a
coaxial driver line 16 which is energized through a matching box 18 by an
RF energy source 19. A pair of variable vacuum capacitors 20, 21 in the
matching box 18 are adjustable to tune the circuit so that the antenna
loading plus the reactive load of the matching box 18 is approximately 50
ohms to minimize the reflected power.
The antenna tuning and wave spectrum are adjusted to match the conditions
in the plasma field, and also in relation to an interior axial magnetic
field generated by at least one magnetic field coil (not shown) about the
source tube 10. The matching condition is predicted by theory to be
dictated by the dispersion relation:
[.omega./.omega..sub.c -.omega..sub.p.sup.2 /C.sup.2 k.sub.z.sup.2 ].sup.2
=1+(3.83/k.sub.z a).sup.2
To effect wave coupling and establish a high plasma current density,
measured in mA/cm.sup.2, the antenna loop 12 is driven at 13.56 MHz and
with RF energy of the order of 2.0 KW (in the range of 100 W to 5 KW) by
the RF energy source 19. The magnetic field established by the coil is in
the range of 10 to 1000 gauss, for different useful applications. The gas
is argon and maintained at a pressure of about 1 mtorr in this example.
However, in addition to a noble gas such as argon, reactive gases such as
SF.sub.6, chlorine, oxygen, and mixtures with oxygen have been used with
comparably useful results. A pressure range of 0.1 mtorr to 200 mtorr can
be used if other variables are properly taken into account. With a 5 KW
power supply less than the maximum available power can be used, to a
substantially lower level of several hundred watts, depending on the
application. Although the 13.56 MHz frequency is available from many
industrial sources, the range of 2 MHz to 50 MHz can be usefully employed.
In FIG. 1, the antenna loop 12 is shown at 90.degree. to the longitudinal
axis of the source tube 10. This orientation generates the M=0 mode, while
reducing the angle from 90.degree. in either sense introduces components
of the M=1 mode as well as components of the M=0 mode. Angles of less than
90.degree. to the longitudinal axis require correspondingly longer antenna
loops 12, so there is a practical limit of about 45.degree. to the angle
which can be used. Most orientations are preferred to be in the range of
60.degree. to 90.degree.. It should be noted that the loop 12 is disposed
within a flat plane that is directly perpendicular or tilted to the
longitudinal axis. In the prior art constructions with double loops and
other configurations it has usually been postulated that the looped
portions must describe a helical path in order to establish a helical wave
property, but this is disproven by the results given below as to the
efficacy of the present invention. It is important, however, that the
antenna loop 12 be sufficiently spaced apart from the closed (gas entry)
end of the source tube 10 for the necessary interactions to occur between
the plasma and the RF energy, and for the dispersion relation to be
satisfied so that proper excitation can be realized and high density can
be achieved. Too long a length, however, can also preclude establishment
of the proper wave numbers. In practice, source tubes 10 of 1" to 4" in
diameter and 8" to 9" in length have been used, with the antenna loop
being about one-third or more of the distance from the closed end.
This arrangement establishes low frequency whistler waves, but the
mechanism of the wave energy-plasma interaction is not fully understood.
Simple analysis in accordance with the dispersion relation is not
feasible. The presence of the plasma load in the RF field appears to give
rise under proper conditions to selective interactions in which the gas
density and dielectric characteristics determine the wave numbers that
exist. In a sense, therefore, the plasma itself appears to predetermine
the wavelengths for interaction, and thus the value of k.sub.z, out of the
spectrum of radiation from the antenna that excites the plasma.
The physics of whistler wave propagation in plasmas has been studied in
other contexts. In a cylindrical geometry these waves are generally
referred to as helicon waves. The classical helicon wave was first
investigated by Lehame and Thonemann and is governed by the following
equations:
.gradient..times.E=.delta.B/.delta.t,
.gradient..times.B=.mu..sub.0 j,
.gradient..multidot.B=0
E=j.times.B.sub.0 /en.sub.0, E.sub.z =.eta.J.sub.z
where E is the electric field, B is the magnetic field, j is the current
density, B.sub.0 is the vacuum magnetic field, e is the charge on an
electron, n.sub.0 is the density of the plasma and .eta. is the
resistivity of the plasma.
Following the derivation of Chen one can easily find perturbations of the
form B exp(i(m.theta.+k.sub.z -.omega.t)), and in the .eta.=0 limit the
above equations lead to:
V.sup.2 B+.alpha..sup.2 B=0
where
.alpha.=(.omega./k) (.mu..sub.0 en.sub.0 /B)
where
j=(.alpha./.mu..sub.0)B
and .omega. is the angular frequency of the wave, .mu..sub.0 is the
permittivity, k is the wave number, 2.pi./.lambda., where .lambda. is the
wavelength. These equations can be solved in cylindrical coordinates to
yield the dispersion relation:
m .alpha.J.sub.m (T a)+TkaJ.sub.m '(T a)=0
where, J.sub.m is a Bessel function of the first kind, J.sub.m is a
derivative of J.sub.m with respect to its argument, a is the plasma radius
and T is a transverse wave number defined by
T.sup.2 =.alpha..sup.2 -k.sup.2
It is important to remember that m is the mode number that describes the
.theta. dependence of perturbations of the form B exp(i(m.theta.+k.sub.z
-.omega.)).
The two lowest modes satisfy
J.sub.1 (T a)=0 (m=0)
J.sub.1 (T a)=Tka/2.alpha.(J.sub.2 -J.sub.0) (m=1)
This leads to the simple relation
[(.omega./.omega..sub.c)(.omega..sub.p.sup.2 /c.sup.2 k.sub.z.sup.2)].sup.2
=1+(3.83/k.sub.z a).sup.2
where
.omega..sub.c =cyclotron angular frequency
.omega..sub.p =plasma frequency
for the m=0 mode. The above derivation is important understand the
excitation of the desired mode by the antenna.
Another important mechanism to understand is the damping of the wave by the
plasma. In the papers by Boswell, wave damping by electron collisions
could not explain the experimentally observed results. Chen, however,
determined that Landau damping was responsible for the large damping
observed experimentally. Landau damping is a collisionless damping of
waves in a plasma due to particles in the plasma that have a velocity
nearly equal to the phase velocity of the wave. These particles travel
with the wave, do not see a rapidly fluctuating electric field and so can
effectively exchange energy with the wave. In a plasma there are electrons
both faster and slower than the wave. In a Maxwellian distribution,
however, there are more slow electrons than fast ones and so there are
more particles taking energy from the wave than vice versa.
The damping rate due to Landau damping has been calculated by Chen for
helicon waves and can be expressed as:
Damping Rate=Jm(k.sub.z)/Re(k.sub.z)2.pi.c.sup.2 (3.8/a).sup.2 .xi..sup.3
e-.xi..sup.2
where
.xi.=.omega./k.sub.z V.sub.th
and V.sub.th is the thermal velocity of the plasma electrons. It is of
interest to demonstrate how sensitive the damping rate is to the value of
k because it is such a steep function of .xi.. Take for example a plasma
with a density of 10.sup.12 electrons/cm.sup.3, an electron temperature of
3 eV and a driving frequency of 8 MHz. The collisional damping rate would
be 0.065 and the Landau damping rate would be 0.6 for k.sub.z =0.25
cm.sup.-1 and 0.0005 for k.sub.z =0.125 cm.sup.-1. It is clear that Landau
damping is the important damping mechanism and that it is very dependent
on the wave number k.sub.z.
There are a number of factors important in devising an antenna structure
which excites whistler waves for generation of plasmas, including a)
frequency of excitation, b) wave mode and c) efficiency of coupling RF
power to plasma. The frequency of the waves should be such that it
satisfies .OMEGA..sub.c <.omega.<.omega..sub.c where .OMEGA..sub.c is the
ion cyclotron frequency, e B.sub.0 /M.sub.i and .omega..sub.c is the
electron cyclotron frequency e B.sub.0 /M. These waves are low frequency
waves that operate far below the electron cyclotron frequency.
The mode structure of the wave electric and magnetic fields should be
understood so that the antenna arrangement can efficiently couple the RF
power into wave excitation. As discussed above the two lowest modes are
the m=0 and m=1 modes. The mode structure of the wave electric field for
an m=0 mode has radial and circumferential electric field vectors,
spatially disposed at different transverse planes along the direction of
wave travel, z. Within a wavelength of wave travel, the electric field
varies between purely radial and purely azimuthal. The azimuthal electric
field varies between being anticlockwise at one plane while being
clockwise one-half wavelength away. With this understanding, it is found
that the wave can be efficiently excited in this mode with an antenna that
has a single loop located in a plane perpendicular to the magnetic field
generating a spectrum of wave numbers such that a portion of the spectrum
generated includes 2.pi./k.sub.z, where k.sub.z is given by the stated
dispersion relation. The mode structure of the wave electric field for an
m=1 mode imparts a natural helical pitch to the electric and magnetic
field vectors as the wave propagates along the z direction. The electric
field vector rotates in a right-handed sense, i.e., it rotates clockwise
as it travels along B.sub.0 which is in the z direction. This mode can be
excited with the present invention if the single loop is canted at an
angle to the magnetic field such that the wave spectrum generated contains
a significant portion around 2.pi./k.sub.z where k.sub.z is given from the
dispersion relations.
The efficiency of plasma production depends on the coupling of RF energy
into the plasma. As discussed above the important mechanism for damping of
the RF energy is believed to be Landau damping. The phase velocity of the
whistler wave is given by .sup..omega. /k.sub.z, where k.sub.z is given by
the dispersion relation and depends on the plasma density and magnetic
field strength without plasma. Ideally the phase velocity of the wave
should be near the maximum of the ionization potential of the gas we wish
to ionize. From the above dispersion relation for the m=0 mode:
n=.alpha.B.sub.0 k.sub.z (T.sup.2 +k.sub.z.sup.2).sup.1/2
where
.alpha.=B.sub.0 k.sub.z.sup.2 for T<k.sub.z.
In other words, the higher the value of k.sub.z, the higher the density.
However, the phase velocity of the wave is .omega./k.sub.z and so
increasing k.sub.z, decreases the energy of the electrons that are
accelerated by the wave. If the k.sub.z is too high then the energy of the
electrons may fall below the ionization potential. It is therefore
important to control k.sub.z in order to be able to increase the density
and control the electron temperature.
The present invention uses low frequency whistler waves to generate plasmas
with high density exceeding 10.sup.13 per cm.sup.3. The first use of
whistler waves to generate dense plasmas was described by Boswell, who
used an antenna arrangement having current flows along the axis of the
cylinder. This antenna configuration had been used and previously
described by Ovchinnikov and excites the m=1 mode due to the current flow
in conductors running parallel to the direction of the magnetic field
B.sub.0. The frequency of excitation was 8 mHz, and the density profile of
the 10 cm plasma was found to be quite peaked, particularly at the higher
magnetic field strengths needed for high densities. In these publications
the mechanism for efficient coupling of the RF energy to the plasma could
not be explained. Chen, in an Australian National University report,
explained the mechanism as Landau damping.
Chen, in a paper presented in August 1988, described a system using
whistler waves to generate dense plasmas for use in advanced particle
accelerators. The type of antenna used in this arrangement was similar to
that used by Boswell in that it excited the m=1 mode and was of a type
known as the Nagoya Type III antenna, having circular end loops at spaced
apart conditions excited with opposite phase signals.
A number of variables can be utilized once it is recognized that the single
loop antenna in accordance with the present invention efficiently
establishes a high density plasma. The Z axis wave number, k.sub.z, varies
as the ratio n/B, and inversely with wavelength .lambda., requiring a
longer source tube. Conversely if B is decreased, the plasma density is
relatively higher because the shorter wavelengths function to create
needed wave numbers regardless of tube size.
The results of the present approach are best evident from study of
different process units as described below.
The basic configuration of a plasma deposition or etching apparatus
according to the present invention is shown in FIG. 2. The plasma
generation chamber 10' is cylindrical in shape and is made of a
non-conducting material such as quartz or pyrex. The antenna 12' is
mounted at an inclination to the longitudinal axis of the chamber 10' as
described in conjunction with FIG. 1. An axial magnetic field is provided
by magnetic field coils 24 and 25 as shown in FIG. 2, but the plasma can
also operate using only one of these coils.
The plasma is transported by the magnetic field to a separate process
chamber 27. The shape of the plasma emerging into the process chamber 27
can be controlled by varying the amount and direction of the current made
to flow in a coil 28 about the exit of the chamber 27. A substrate 30 to
be coated or etched is mounted on a substrate holder 31 which is
electrically isolated. Plasma that bombards the substrate 30 causes the
substrate 30 to reach a negative self bias of between 0 and 10 V. For some
films to be formed it is advantageous for the film to be bombarded by ions
with greater energy than they would obtain due to the self-bias. In this
case it is desirable to apply RF power from a second RF source 33 through
a second matching circuit 34. The substrate holder 31 is a copper block
that is cooled or heated by a heating/cooling circuit 35. Gas is injected
via a stainless steel injection tube 11 connected to the source for the
plasma generation chamber 10'. A stainless steel ring 36 has a diameter
that is large compared to the size of holes 37 that are distributed
equally around the ring 36. This arrangement is such that a uniform flow
of gas is directed towards the substrate 30. The RF voltage is applied to
the antenna 12' by means of a matching circuit 18 and RF source 19, as
described in conjunction with FIG. 1. Tuning in the matching circuit 18 is
used to maximize the power that is coupled into the plasma and minimize
the power that is reflected back along a 50 ohm cable 38 to the RF power
supply 19.
FIG. 3 shows an arrangement where high uniformity over a large area is
required. The plasma generation chamber 10' is cylindrical in shape and is
made of a non-conducting material such as quartz or pyrex. The antenna 12'
is mounted at an angle less than the perpendicular but otherwise
corresponds to the configuration described in FIG. 1. An axial magnetic
field is provided by the magnetic field coils 24 and 25. The plasma is
transported by the magnetic field to a process volume comprising a part of
a magnetic bucket chamber 40.
In a paper by Limpaecher and MacKenzie (R. Limpaecher and K. R. MacKenzie,
Rev. Sci. Instrum. 44,726 (1973)), it is disclosed that using magnets in a
peripheral multicusp arrangement can provide very uniform plasma
parameters in a central zone of the volume enclosed by the magnets. The
arrangement of the magnets around the circumference of a cylinder is a
common arrangement used for ion sources and is referred to as a magnetic
bucket. It is important to design the magnetic field in such a way that
there is a good match between the axial field provided by the lower
magnetic field coil 25 and the field in the magnetic bucket 40. The plasma | | |