BACKGROUND OF THE INVENTION
FIELD OF THE INVENTION
[0001] The present invention relates to an automatic impedance adjusting apparatus for a
microwave load and an automatic impedance adjusting method therefor, more particularly,
to an automatic impedance adjusting apparatus for adjusting an impedance seen looking
toward a microwave load at a point of a microwave transmission line to a desirable
impedance such as an impedance of a microwave oscillator, and an automatic impedance
adjusting method therefor.
DESCRIPTION OF RELATED ART
[0002] Fig. 1 shows a conventional automatic microwave impedance matching apparatus proposed
in the Japanese patent laid open publication No. (JP-A) 63-15502/1988.
[0003] Referring to Fig. 1, a rectangular waveguide 100 of the automatic impedance matching
apparatus is connected between a microwave oscillator and a microwave load. On the
microwave oscillator side in the rectangular waveguide 100, there is arranged a voltage
standing wave detector composed of five probes PR11 to PR15 therein aligned at an
equal distance of λg/8 in the longitudinal direction thereof, wherein λg is an average
waveguide length of the microwave propagating in the rectangular waveguide 100. On
the microwave load side in the rectangular waveguide 100, two pairs of composite stubs
ST1 and ST2 are arranged at different positions in the longitudinal direction thereof.
[0004] The first composite stub ST1 is composed of two stubs S11 and S12 mounted at both
ends of a seesaw rod, and the stubs S11 and S12 are driven by a stub driving motor
M11 so as to be inserted into and drawn out from the rectangular waveguide 100 reciprocally
by a seesaw motion of the seesaw rod. On the other hand, the second composite stubs
ST2 is composed of two stubs S13 and S14 mounted at both ends of another seesaw rod,
and the stubs S13 and S14 are driven by another stub driving motor M12 in the same
manner as the stubs S11 and S12 of the first composite stub ST1.
[0005] A voltage standing wave of the microwave propagating in the rectangular waveguide
100 is detected by diodes D111 to Dl 15 connected to the probes PR11 to PR15, respectively.
After the output of the diode D111 is outputted to the anode of the diode D115 so
as to compose the output of the diode DI15 therewith, the composed output is inputted
to an input terminal of a differential amplifier AMP11 through a resistor R11. Each
output of the diodes D112 and D114 is inputted to each input terminal of a differential
amplifier AMP12, and the output of the diode Dl13 is inputted to another input terminal
of the differential amplifier AMP11.
[0006] The output of the differential amplifier AMP11 is outputted to the stub driving motor
M11 through a power amplifier AMP21, and the output of the differential amplifier
AMP12 is outputted to the stub driving motor M12 through a power amplifier AMP22.
[0007] In the automatic microwave impedance matching apparatus constructed above, output
voltages Vai and Va
12 of respective differential amplifiers AMP11 and AMP12 are expressed by the following
equations with voltages Vp
" to Vp
15 of the voltage standing wave detected by respective probes PR11 to PR15.


[0008] When the stub driving motors M11 and M12 are driven according to the output voltages
Va
11 and Va,
2, respectively, the voltage standing wave in the rectangular waveguide 100 changes,
namely, an impedance seen looking toward the load at the voltage standing wave detector
changes. Since the probes PR11 to PR15 are arranged at an equal distance of xg/8 in
the longitudinal direction of the rectangular waveguide 100, the output voltages Va
11 and Va
l2 of respective differential amplifiers AMP11 and AMP12 are orthogonal to each other.
Therefore, in the feed back system of the automatic impedance matching apparatus,
the composite stubs ST1 and ST2 are driven by the stub driving motor M11 and M12 so
that each of the output voltages Va
1 and Va
1 becomes zero. When both the output voltages Va
11 and Va,
2 become zero, the impedance of the microwave oscillator is matched to the load impedance.
[0009] However, when the above automatic microwave impedance matching apparatus is applied
to an apparatus comprising a plasma generating apparatus such as a plasma etching
apparatus, a plasma CVD apparatus or the like, the following problems are caused.
[0010]
(1) A state of a plasma generated by the plasma generating apparatus may change suddenly,
and then, a load impedance thereof may change. In this case, the conventional automatic
impedance matching apparatus can not track the change in the load impedance thereof
accurately, resulting in a hunting phenomenon therein.
(2) As shown in Fig. 2, there is a hysteresis in a relationship between an output
power of the microwave oscillator and a load impedance of the plasma generating apparatus,
and particularly, the hysteresis has two discontinuous points 101 and 102. Therefore,
the load impedance changes discontinuously at respective discontinuous points 101
and 102, and then, the automatic impedance matching apparatus can not match the load
impedance to the impedance of the microwave oscillator.
[0011] It is known to those skilled in the art that a plasma may be generated more stably
in a state slightly shifted from the impedance matching state. Therefore, it has been
desired that the impedance seen looking toward the load is automatically adjusted
to a desirable impedance. However, the automatic microwave impedance matching apparatus
can not adjust the impedance seen looking toward the load to a desirable impedance.
SUMMARY OF THE INVENTION
[0012] An essential object of the present invention is to provide an automatic impedance
adjusting apparatus and/or method being capable of more stably and more precisely
adjusting an impedance seen looking toward a microwave load to a desirable impedance
such as an impedance of an microwave oscillator, even if the load impedance changes.
[0013] Another object of the present invention is to provide an automatic impedance adjusting
apparatus and/or method being capable of stably supplying a microwave power to a microwave
load even though a load impedance thereof changes.
[0014] A further object of the present invention is to provide an automatic impedance adjusting
apparatus and
/or method being suitable for and applicable to a plasma generating apparatus wherein
a state of a plasma generated therein changes depending on various kinds of causes.
[0015] A still further object of the present invention is provide an automatic impedance
adjusting apparatus and/or method being capable for preventing a plasma from generating
in a non-equilibrium state.
[0016] A still more further object of the present invention is to provide an automatic impedance
adjusting apparatus and/or method being capable for transferring a generated plasma
from a non-equilibrium state to a quasi-equilibrium state.
[0017] In order to accomplish the above objects, according to one aspect of the present
invention, there is provided an automatic microwave impedance adjusting apparatus
comprising:
a microwave transmission line connected between a microwave oscillator and a microwave
load; measuring means for measuring either an impedance seen looking toward the microwave
load at a mounted point thereof or a reflection coefficient thereat by detecting a
voltage standing wave of a microwave propagating on the microwave transmission line;
variable impedance means for changing an impedance to be connected to a mounted point
thereof, the variable impedance means being mounted on the microwave load side of
the measuring means on the microwave transmission line; and
control means for controlling the variable impedance means responsive to the value
measured by the measuring means so as to adjust the impedance seen looking toward
the microwave load to a predetermined value.
[0018] According to another aspect of the present invention, there is provided an automatic
microwave impedance adjusting method including:
a first step of measuring either an impedance seen looking toward a microwave load
at a predetermined reference point of a microwave transmission line connected between
a microwave oscillator and the microwave load or a reflection coefficient thereat
by detecting a voltage standing wave of a microwave propagating on the microwave transmission
line; and
a second step of controlling variable impedance means mounted on the microwave load
side of the reference point on the microwave transmission line responsive to the value
measured at the first step, so as to adjust the impedance seen looking toward the
microwave load to a predetermined value.
[0019] According to a further aspect of the present invention, in the method, the processes
of the first and second steps are repeated.
BRIEF DESCRIPTION OF THE DRAWINGS
[0020] These and other objects and features of the present invention will become clear from
the following description taken in conjunction with the preferred embodiment thereof
with reference to the accompanying drawings, in which:
Fig. 1 is a schematic diagram showing a conventional automatic microwave impedance
matching apparatus;
Fig. 2 is a graph showing a relationship between a output power of a microwave oscillator
and a load impedance III of a plasma generating apparatus;
Fig. 3 is a schematic diagram showing an automatic microwave impedance adjusting apparatus
of a preferred embodiment according to the present invention;
Fig. 4 is a schematic block diagram showing a controller of the automatic microwave
impedance adjusting apparatus shown in Fig. 3 and peripheral units thereof;
Fig. 5 is a chart showing a voltage standing wave pattern in a rectangular waveguide
shown in Fig. 3;
Fig. 6 is a crank diagram showing respective vectors of the voltage standing wave
at mounted points of respective probes shown in Fig. 3;
Fig. 7 is a circuit diagram showing an equivalent circuit of a triple-stub tuner arranged
between the microwave oscillator and the plasma generating apparatus shown in Fig.
3;
Figs. 8 and 9 are reflection coefficient charts and Smith charts showing an admittance
contour thereon when stubs S1, S2 and S3 of the triple-stub tuner shown in Fig. 3
are inserted into and drawn out from the rectangular waveguide;
Figs. 10 to 20 are reflection coefficient charts and Smith charts showing an action
of the automatic microwave impedance adjusting apparatus shown in Figs. 1 and 2;
Fig. 21 is a graph showing a relationship between an insertion length of each stub
of the triple-stub tuner shown in Fig. 1 when inserted into the rectangular waveguide,
and a susceptance connected to the stub point;
Fig. 22 is a flowchart showing a main routine of an automatic impedance adjusting
process executed by a CPU of the controller shown in Fig. 4;
Fig. 23 is a flowchart showing a subroutine of an impedance adjusting process using
stubs S2 and S3; and
Fig. 24 is a flowchart showing a subroutine of an impedance adjusting process using
stubs S1 and S1.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
[0021] An automatic microwave impedance adjusting apparatus of a preferred embodiment according
to the present invention will be described below, in the order of the following items,
with reference to the attached drawings.
(1) Composition of an automatic impedance adjusting apparatus
(2) Composition of a controller and peripheral units thereof
(3) Voltage standing wave detector
(4) Triple-stub tuner
(5) Action of the automatic impedance adjusting apparatus
(6) Impedance matching process
(7) Modifications
[0022] It is to be noted that, in this specification, a normalized impedance and a normalized
admittance which are given by dividing an impedance and an admittance at a point of
a rectangular waveguide 13 by a characteristic impedance of the rectangular waveguide
13 are referred to as an impedance and an admittance hereinafter, respectively.
[0023] Fig. 3 shows the automatic microwave impedance adjusting apparatus of the preferred
embodiment according to the present invention, and Fig. 4 shows a controller 50 of
the automatic microwave impedance adjusting apparatus and peripheral units thereof.
[0024] The automatic microwave impedance adjusting apparatus of the present preferred embodiment
mainly comprises:
(a) a voltage standing wave detector 31 composed of three probes PR1, PR2 and PR3
for detecting an amplitude of a voltage standing wave of a microwave propagating in
the rectangular waveguide 13 which is connected between a microwave oscillator 10
and a plasma generating apparatus 30, the voltage standing wave detector 13 being
arranged on the microwave oscillator 10 side in the rectangular waveguide 13;
(b) a triple-stub tuner 32 composed of three stubs S1, S2 and S3 for connecting an
admittance in parallel to the transmission line of the rectangular waveguide 13 when
driven by stepping motors M1, M2 and M3, the triple-stub tuner 32 being arranged on
the plasma generating apparatus 30 side in the rectangular waveguide 13; and
(c) the controller 50 for calculating a reflection coefficient ro at the probe PR1
of the voltage standing wave detector 31 from amplitudes of the voltage standing wave
detected by the voltage standing wave detector 31, calculating a desirable admittance
Ys corresponding to a desirable reflection coefficient rs which has been previously
inputted using a keyboard 72, calculating insertion lengths of the stubs S1, S2 and
S3 required for adjusting an admittance Yo seen looking toward a load of the plasma
generating apparatus 30 at a mounted point Ps1 of the stub S1 mounted in the rectangular waveguide 13 (referred to as a reference
point hereinafter) to the calculated desirable admittance Ys, and outputting driving
signals for driving the stepping motors. M1, M2 and M3 so that the stubs S1, S2 and
S3 are inserted into the rectangular waveguide 13 by the above calculated insertion
lengths, respectively; and the automatic microwave impedance adjusting apparatus is
characterized in that an impedance (referred to as a reference impedance hereinafter)
Zo seen looking toward the plasma generating apparatus 30 at the reference point Ps1 is automatically adjusted to a desirable impedance Zs corresponding to the inputted
desirable reflection coefficient rs.
[0025] The automatic microwave impedance adjusting apparatus has a single operation mode
for executing only one impedance adjusting process for adjusting the reference impedance
Zo to the desirable impedance Zs corresponding to the inputted desirable reflection
coefficient

s without taking into consideration a change in the load impedance of the plasma generating
apparatus 30, and a repeat operation mode for repeating the above impedance adjusting
process with taking into consideration the change in the load impedance thereof.
(1) Composition of Automatic impedance adjusting apparatus
[0026] Referring to Fig. 3, between the microwave oscillator 10 and the plasma generating
apparatus 30, there are connected an isolator 11 for making a microwave outputted
from the microwave oscillator 10 propagate toward only the plasma generating apparatus
30, a directional coupler 12, in one port of which there is mounted a diode DI10 for
detecting a power of a progressive wave of the microwave propagating therein, the
rectangular waveguide 13 wherein there are mounted the voltage standing wave detector
31 and the triple-stub tuner 32, a rectangular waveguide 14 wherein there is formed
a hole 14h for flowing cooling air thereinto, a taper waveguide 15 for transforming
the TE
10 mode which is the principal mode of the isolator 11 and the rectangular waveguides.
13 and 14 into the TE
11 mode which is the principle mode of a circular waveguide 15, in the order of the
isolator 11, the directional coupler 12, the rectangular waveguides 13 and 14 and
the taper waveguide 15, in the longitudinal direction thereof. It is to be noted that
a connection point
3f the rectangular waveguide 14 and the taper waveguide 15 is referred to as a load
end 14t seen looking at the rectangular waveguide 13 of the automatic microwave impedance
adjusting apparatus.
[0027] The power of the progressive wave of the microwave outputted from the microwave oscillator
10 is detected by the diode D110 connected to one port of the directional coupler
12, and the detection output is inputted to a power detector 10d. The power detector
10d outputs a detection signal indicating a power level, which is direct proportional
to the square of the detection output, to a power controller 10c. The power controller
10c controls the microwave oscillator 10 according to the above detection signal so
that the microwave power outputted therefrom is kept a predetermined constant power
level.
[0028] The voltage standing wave detector 31 comprises three probes PR1, PR2 and PR3 which
are mounted on the microwave oscillator 10 side in the rectangular waveguide 13. These
probes PR1, PR2 and PR3 are mounted in the order of PR1, PR2 and PR3 from the microwave
oscillator 10 side at equal spaces of λg/6 in the longitudinal direction of the rectangular
waveguide 13 in the center portion of the longitudinal side of the section thereof
so as to project thereinto, wherein Xg is a waveguide length of the microwave propagating
in the rectangular waveguide 13. Mounted points of the probes PR1, PR2 and PR3 in
the longitudinal direction
3f the rectangular waveguide 13 are labeled Pda, Pdb and Pdc hereinafter, respectively.
[0029] The voltage standing wave of the microwave propagating in the rectangular waveguide
13 is detected by the diodes DI1, D12 and D13 which are respectively connected to
the probes PR1, PR2 and PR3, and respective detection outputs thereof are inputted
to voltage detectors 40a, 40b and 40c, respectively. The voltage detectors 40a, 40b
and 40c detect the voltages of the detection outputs, and output detection signals
indicating detected voltage levels to analogue to digital converters (referred to
as A
/D converters hereinafter) 67a, 67b and 67c, respectively.
[0030] The triple-stub tuner 32 comprises three stubs S1, S2 and S3 which are mounted on
the plasma generating apparatus 30 side in the rectangular waveguide 13. These stubs
S1, S2 and S3 are mounted in the order of S1, S2 and S3 from the microwave oscillator
10 side at equal spaces of xg/4 in the longitudinal direction of the rectangular waveguide
13 in the center portion of the longitudinal side of the section thereof so as to
be inserted into and drawn out from the rectangular waveguide 13 in a direction perpendicular
to the longitudinal side of the section thereof. It is to be noted that the stub S1
is mounted at a mounted point Ps, apart by a distance of Xg
/2 in the longitudinal direction of the rectangular waveguide 13 from the mounted point
Pda of the probe PR1 of the voltage standing wave detector 31. Mounted points of respective
stubs S1, S2 and S3 are labeled Ps
1, Ps
2 and Ps
3 in the longitudinal direction of the rectangular waveguide 13.
[0031] As described later, pulse signals indicating the insertion lengths or the drawing-out
lengths of respective stubs S1. S2 and S3 to be inserted into or drawn out from the
rectangular waveguide 13, and polarity signals indicating the insertion or the drawing-out
operation thereof are outputted from an interface 65 of the controller 50 to respective
motor drivers 41 a, 41 b and 41c. Responsive to these signals, the motor drivers 41a,
41b and 41c amplify the pulse signals, and output the amplified pulse signals having
polarities indicated by the above polarity signals to the stepping motors M1, M2 and
M3, respectively. The stepping motors M1, M2 and M3 respectively drive the stubs S1,
S2 and S3 according to the pulse signals so as to insert them into the rectangular
waveguide 13 by insertion lengths corresponding to the pulse numbers of the pulse
signals, or draw out them therefrom by drawing-out lengths corresponding to the pulse
numbers of the pulse signals.
[0032] The plasma generating apparatus 30 is provided for performing an oxidation process
for a high temperature superconductor W of oxide group. On the outer peripheral portion
of the circular waveguide 16 of the plasma generating apparatus 30, there is mounted
an electromagnet 17 for applying a magnetic field onto a glass plasma container 18g
having a half egg shape which is mounted in the center portion of the circular waveguide
16, in order to not only generate a plasma utilizing an electron cyclotron motion
but also store the generated plasma effectively within the plasma container 18g. Furthermore,
in the outer peripheral portion of the circular waveguide 16, there is formed a cooling
air outlet 16a for exhausting the cooling air which has been flowed from the hole
14h of the rectangular waveguide 14 into the outside of the circular waveguide 16.
It is to be noted that the cooling air is flowed thereinto in order to prevent the
temperature of the plasma container 18g from increasing when the plasma container
18g receives an energy from the plasma generated therein, so as to prevent the plasma
container 18g from being broken due to the over heating.
[0033] In the center portion positioned between the plasma container 18g mounted in the
circular waveguide 16 and a plasma processing chamber 18 for processing a superconductor
W to be processed, there is formed a plasma outlet 20 for flowing out the plasma generated
in the plasma container 18g into the plasma chamber 18. On the outer peripheral portion
of the plasma outlet 20, there is mounted a ring-shaped electrode 20a which is electrically
connected to a positive electrode of a direct-current voltage source 21 and ground.
Furthermore, a negative electrode of the direct-current voltage source 21 is electrically
connected to a support mechanism 19m.
[0034] In the center portion of the plasma processing chamber 18, there is arranged a table
19 for mounting the superconductor W to be processed. The table 19 is connected to
the support mechanism 19m for moving the table 19 in directions as indicated by arrows
19a. Further, in the positions opposing to each other of the outer peripheral portion
of the plasma processing chamber 18, there are formed an oxygen gas inlet 18h for
supplying oxygen gas into the plasma processing chamber 18, and an oxygen gas outlet
18j for exhausting the supplied oxygen gas into the outside of the plasma processing
chamber 18.
[0035] In the plasma generating apparatus constructed above, after the table 19 on which
the superconductor W to be processed is brought close to the plasma outlet 20 by the
support mechanism 10m, the inside of the plasma processing chamber 18 is kept at an
oxygen gas pressure in the range from 10-4 Torr to 10-
2 Torr, and then, the superconductor W to be processed is heated at a temperature in
the range from 200 °C to 400 C. Thereafter, a microwave having a frequency such as
2.45 GHz is generated by the microwave oscillator 10. The generated microwave propagates
in the isolator 11, the directional coupler 12, the rectangular waveguides 13. and
14, the taper waveguide 15, and the circular waveguide 16, and is incident to the
plasma processing chamber 18. On the other hand, a magnetic field is applied to the
microwave incident into the circular waveguide 16 in a direction perpendicular to
the propagation direction of the microwave by the electromagnet 17, so as to generate
an electron cyclotron resonance for the incident microwave at the position on the
left side in Fig. 3 of the superconductor W to be processed which is arranged in the
plasma processing chamber 18. Furthermore, a negative voltage such as a voltage in
the range from -5 V to -100 V is applied to the ring-shaped electrode 20a mounted
on the outer peripheral portion of the plasma outlet 20 relative to a potential of
the table 19 on which the superconductor W to be processed is mounted. After a time
in the range from 30 minutes to one hour has passed in this state, a film of the superconductor
W is oxidized, and then, a superconductor having a high temperature superconductor
characteristics can be obtained.
(2) Composition of Controller and Peripheral units thereof
[0036] Fig. 4 shows the controller 50 for controlling the operation of the automatic microwave
impedance adjusting apparatus and the peripheral units thereof.
[0037] Referring to Fig. 4, the controller 50 comprises a central processing unit (referred
to as a CPU hereinafter) 60 for controlling the impedance adjusting process of the
automatic microwave impedance adjusting apparatus, a read only memory (referred to
as a ROM hereinafter) 61 for storing a system program for executing the process of
the CPU 60 and data required for executing the above system program, and a random
access memory (referred to as a RAM hereinafter) 62 for being used as a working area
and storing data required in the processing of the CPU 60.
[0038] The controller 50 further comprises a display interface 63 connected to a display
71, a keyboard interface 64 connected to the keyboard 72, the A/D converters 67a,
67b and 67c, an interface 66 connected to the A/D converters 67a, 67b and 67c, and
an interface 65 connected to the motor drivers 41 a, 41 b and 41c. In the controller
50, the CPU 60, the ROM 61, the RAM 62, the display interface 63, the keyboard interface
64 and the interfaces 65 and 66 are connected to each other through a bus 67.
[0039] Respective detection signals outputted from the voltage detectors 40a, 40b and 40c
are AiD converted to digital data, and then, the digital data are transferred to the
RAM through the interface 66 and the bus 67, and are stored therein. The CPU 60 calculates
data of the insertion lengths or the drawing-out lengths of respective stubs S1, S2
and S3 required for adjusting the reference impedance Zo seen looking toward the load
at the reference point Ps, to the above desirable impedance Zs from the digital data
of the detection signals, and a desirable reflection coefficient rs which has been
previously inputted using the keyboard 72, and outputs the calculated data and data
indicating the insertion or the drawing-out operation of respective stubs S1, S2 and
S3, to the interface 65 through the bus 67.
[0040] Responsive to the data, the interface 65 generates the pulse signals indicating the
insertion lengths or the drawing-out lengths of respective stubs S1, S2 and S3 to
be inserted into or drawn out from the rectangular waveguide 13, and the polarity
signals indicating the insertion or the drawing-out operation thereof, to respective
motor drivers 41a, 41 and 41c. It is to be noted that the impedance adjusting process
executed by the CPU 60 will be described in detail later, with reference to flowcharts
shown in Figs. 22 to 24.
[0041] The display 71 displays impedance points seen looking toward the load on a Smith
chart, and the insertion lengths of respective stubs S1, S2 and S3, according to the
data inputted from the CPU 60 through the display interface 63.
[0042] The keyboard 72 comprises a operation mode selection key (not shown) for selecting
either the repeat operation mode or the single operation mode, and a set of ten keys
(not shown) for inputting the absolute value |Γs| and the phase es of the reflection
coefficient rs corresponding to the desirable impedance Zs, and outputs the inputted
data to the CPU 60 through the keyboard interface 64.
(3) Voltage standing wave detector
[0043] The voltage standing wave detector 31 comprises three probes PR1, PR2 and PR3 mounted
at respective points Pda, Pdb and Pdc in the longitudinal direction of the rectangular
waveguide 13 at equal spaces of xg/6, as described above.
[0044] Fig. 5 shows a voltage standing wave pattern |Vst| when there is a reflected wave
propagating from the load end 14t in the rectangular waveguides 13 and 14, namely,
the load impedance Ps, seen looking toward the load at the reference point is mismatched
to the impedance seen looking toward the microwave oscillator 10.
[0045] Referring to Fig. 5, the amplitude |Vst| of the voltage standing wave changes periodically
with a period of Xg/2. In Fig. 5, the amplitudes of the voltage standing wave at the
points Pda, Pdb and Pdc are labeled |Va|, |Vb| and |Vc|, respectively.
[0046] Fig. 6 is a crank diagram showing a relationship among vectors Va, Vb and Vc of the
amplitudes Va, Vb and Vc of the voltage standing wave, a vector D of a progressive
wave voltage D, and a vector E of a reflected wave voltage E. In Fig. 6, eo is a phase
of the reflected wave voltage E relative to a point where the amplitude |Vst| of the
voltage standing wave becomes a maximum. Then. the reflection coefficient ro at the
mounted point Pda of the probe PR1 is expressed as follows:

[0047] Since the mounted point Pda of the probe PR1 is apart by a distance of λg/2 in the
longitudinal direction of the rectangular waveguide 13 from the reference point Ps
1 at which the stub S1 is mounted, the reflection coefficient Γo expressed by the above
equation (3) is a reflection coefficient at the reference point Psi.
[0048] As shown in Fig. 6, respective vectors Va, Vb and Vc of the amplitudes of the voltage
standing wave are a sum of the vector D of the progressive wave voltage D and the
vector E of the reflected voltage E. Respective end points of the vector Va, Vb and
Vc are positioned on a circle having a radius equal to the amplitude of the vector
E of the reflected wave voltage E and a center point which is located at the end point
Pdd of the vector D of the progressive wave voltage D so that each difference between
respective phases thereof becomes

π. When the amplitude |Vst| of the voltage standing wave becomes a maximum, the phase
θo becomes zero, and the reflection coefficient ro becomes |Γo|. On the other hand,
the amplitude |Vst| of the voltage standing wave becomes a minimum, the phase θo becomes
π, and the reflection coefficient Γo becomes -|Γo|.
[0049] Furthermore, as is apparent from Fig. 6, the squares of respective amplitudes of
the voltage standing wave |Va|
2. Vb|
2 and |Vc|
2 detected by the probes PR1, PR2 and PR3 are expressed as follows:



[0050] Furthermore, the absolute value |Γo| of the reflection coefficient ro is expressed
as follows:

[0051] Therefore, since respective amplitudes |Va|, |Vb| and |Vc| of the voltage standing
wave can be measured by the voltage standing wave detector 31, the absolute value
|Γo| and the phase co of the reflection coefficient ro can be obtained by calculating
the solutions of the simultaneous equations (4) to (7). Furthermore, the admittance
or the impedance seen looking toward the plasma generating apparatus 30 at the reference
point Ps
1 can be calculated using equations (9) to (11) which are described later, from the
absolute value |Γo| and the phase θo.
(4) Triple-stub tuner
[0052] The triple-stub tuner 32 comprises three stubs S1, S2 and S3 mounted at respective
points Ps
1, Ps
2 and Ps
3 of the rectangular waveguide 13 at equal spaces of λg/4 in the longitudinal direction
thereof, as described above.
[0053] Fig. 21 shows a relationship between an insertion length L of each of the stubs S1,
S2 and S3 when inserted into the rectangular waveguide 13, and a susceptance B connected
to the mounted point of each stub in the rectangular waveguide 13.
[0054] As is apparent from Fig. 21, as the insertion length L of each of the stubs S1, S2
and S3 increases, the susceptance B of the mounted point increases. Namely, each of
the stubs S1, S2 and S3 operates as an admittance element having a pure susceptance
B.
[0055] Fig. 7 shows an equivalent circuit of the triple-stub tuner 32 which is connected
between the microwave oscillator 10 and the plasma generating apparatus 30.
[0056] Referring to Fig. 7, the microwave oscillator 10, respective admittance elements
Ys
1, Ys
2 and Ys
3 of the stubs S1, S2 and S3, and a load admittance Yℓ of the plasma generating apparatus
are connected in parallel. Therefore, the triple-stub tuner 32 can adjust the admittance
Yo = Go + jBo seen looking toward the load of the plasma generating apparatus 30 at
the reference point Ps
1 where the stub S1 is mounted, to a desirable admittance Ys = 1/Zs.
[0057] For example, in order to match the load admittance Yo seen looking toward the plasma
generating apparatus 30 to the admittance of the microwave oscillator 10, it is apparent
that the stubs S1, S2 and S3 are respectively inserted into the rectangular waveguide
13 by such insertion lengths that the admittance Yo seen looking toward the plasma
generating apparatus 30 at the reference point P
S1 is matched to the admittance Yso = 1/Zso seen looking toward the microwave oscillator
10 at the reference point Psi.
[0058] In the automatic microwave impedance adjusting apparatus of the present preferred
embodiment, there is calculated the insertion lengths of respective stubs S1, S2 and
S3 required for adjusting the admittance Yo seen looking toward the load of the plasma
generating apparatus 30 at the reference point Ps
1 to a desirable admittance Ys including the admittance Yso seen looking toward the
microwave oscillator 10 at the reference point Psi, by the CPU 60 of the controller
50, and then, the stepping motors M1, M2 and M3 are driven so that the stubs S1, S2
and S3 are inserted into the rectangular waveguide 13 by the calculated insertion
lengths, respectively.
[0059] Fig. 8 shows a relationship between a Smith chart and a UV orthogonal coordinates
(referred to as a UV coordinates hereinafter) of a complex plane of a reflection coefficient
r.
[0060] As shown in Fig. 8, the reflection coefficient fo at the reference point Ps
1 is expressed as follows:

where u
o and v
o are a coordinate value of the U-axis and a coordinate value of the V-axis of the
UV coordinates.
[0061] Furthermore, the admittance Yo = 1/Zo seen looking toward the load of the plasma
generating apparatus 30 at the reference point Ps
1 is uniquely expressed as follows:

[0062] An admittance point Pp of the admittance Yo is shown on the Smith chart and the UV
coordinates of Fig. 8. Furthermore, the conductance Go and the susceptance bo of the
admittance Yo are uniquely expressed as follows:


[0063] Furthermore, transforming the above equations (8) and (9) gives:


[0064] The above equation (12) represents a G = Go circle which includes the admittance
point Pp on the Smith chart and is tangent to a U = -1 straight line, as shown in
Fig. 8. Also, the above equation (13) represents a B = Bo circle which includes the
admittance point Pp on the Smith chart and a point of the UV coordinates (-1, j0)uv,
as shown in Fig. 8.
[0065] It is to be noted that, in the specification and Figs. 8 to 20, UV coordinates of
an admittance point located on the Smith chart are represented hereinafter by a coordinate
representation with a suffix "uv" such as (0, j)uv, (1, j0)uv, and also, coordinates
of an admittance point located on the Smith chart which indicate a conductance and
a susceptance thereof is represented hereinafter by a coordinate representation without
any suffix such as (Go, jBo).
[0066] When the insertion length of the stub S1 located at the reference point Ps
1 or the stub S3 located at the point Ps
3 apart from the reference point Psi by a distance of xg/2 in the longitudinal direction
of the rectangular waveguide 13 is changed, only the susceptance B to be connected
to the point Ps
1 at Ps
3 of the rectangular waveguide 13 changes, as described above. Therefore, when the
insertion length of the stub S1 or S3 of the triple-stub tuner 32 is changed, the
admittance point Pp of the admittance Yo seen looking toward the load of the plasma
generating apparatus 30 at the points Ps
1 and Ps
3 moves on the G = Go circle on the Smith chart shown in Fig. 8.
[0067] Furthermore, an admittance point of an admittance Yo seen looking toward the load
of the plasma generating apparatus 30 at the point P
S2 of the stub S2 is located at a point Pp given when the admittance point Pp of the
admittance Yo on the Smith chart is rotated around the original 0 of the UV coordinates
by 180 degrees, and the admittance Yo is uniquely expressed as follows:

[0068] It is to be noted that respective references of an admittance, a conductance and
a susceptance seen looking toward the load of the plasma generating apparatus 30 are
suffixed with a dash mark so as to distinguish them from those seen looking toward
the load at the reference point Psi .
[0069] Further, the conductance Go and the susceptance Bo of the admittance Yo are uniquely
expressed as follows:

[0070] Furthermore, transforming the above equations (15) and (16) gives:


[0071] The above equation (17) represents a G = Go circle which includes the admittance
point Pp on the Smith chart and is tangent to a U = 1 straight line, as shown in Fig.
9, and the G = Go circle and the G = Go circle are point symmetric with respective
to the origin 0 of the UV coordinates. Also, the above equation (18) represents a
B = Bo circle which includes the admittance point Pp on the Smith chart and a point
of the UV coordinates (1, j0)uv, as shown in Fig. 8, and the B = Bo circle and the
B = Bo circle are point symmetric with respective to the origin 0 of the UV coordinates.
[0072] It is to be noted that, in Figs. 9 to 20, the coordinates of the Smith chart are
represented by coordinates of an admittance point of an admittance seen looking toward
the load at the reference point Psi. Furthermore, in all Figs. 9 to 20, a G = G =
∞ circle which includes points of the UV coordinates (1, j0)uv, (0, j)uv, (-1, j0)uv
and (0, -j)uv is drawn as a maximum reference circle.
[0073] When the insertion length of the stub S2 located at the point Ps
2 of the rectangular waveguide 13 is changed, only the susceptance B to be connected
to the point Ps
2 of the rectangular waveguide 13 changes, as described above. Therefore, when the
insertion length of the stub S2 of the triple-stub tuner 32 is changed, the admittance
point Pp of the admittance Yo seen looking toward the load of the plasma generating
apparatus 30 at the points Ps
2 moves on the G = Go' circle on the Smith chart shown in Fig. 9.
[0074] In the impedance adjusting process executed by the CPU 60 of the controller 50 as
described later, the susceptance Bo of the admittance Yo seen looking toward the load
at the point Ps
2 of the stub S2 is calculated from the UV coordinates of the admittance point Po of
the admittance Yo seen looking toward the load at the reference point Psi, and also,
the susceptance Bo of the admittance Yo seen looking toward the load at the reference
point Psi is calculated from the UV coordinates of the admittance point Pp of the
admittance Yo seen looking toward the load at the point P
S2 of the stub S2. In these calculations, the converted susceptance can be calculated
by inverting respective signs of the coordinate values of the U-axis and V-axis and
substituting the inverted UV coordinates into the equation (11).
(5) Action of Automatic impedance adjusting apparatus
[0075] Fig. 22 is flowchart showing a main routine of an impedance adjusting process executed
by the CPU 60 of the controller 50. The main routine includes two subroutines executed
at steps #7 and #8 of Fig. 22.
(5-1) Main routine of Impedance adjusting process
[0076] Referring to Fig. 22, first of all, at step #1, either the repeat operation mode
or the single operation mode is selected using the operation mode selection key of
the keyboard 72, and then, at step #2, an absolute value |Γs| and a phase θs of a
desirable reflection coefficient Γs corresponding to a desirable impedance Zs seen
looking toward the load at the reference point Ps
1 are inputted using a set of ten keys of the keyboard 72.
[0077] Thereafter, at step #3, the CPU 60 calculates a conductance Gs and a susceptance
Bs of a desirable admittance Ys corresponding to the inputted reflection coefficient
rs, using the equations (9) to (11) from the absolute value |Γs| and the phase θo
which have been inputted, wherein the admittance point of the desirable admittance
Ys is located at an intersection Ps of the G = Gs circle and the B = Bs circle on
the Smith chart, as shown in Fig. 10. Thereafter, there are calculated a conductance
Gs and a susceptance Bs of an admittance Ys seen looking toward the load at the point
Ps
2 of the stub S2 which is given when the phase of the admittance Ys is inverted, using
the equations (15) and (16).
[0078] Furthermore, at step #4, there are calculated the amplitudes of the voltage standing
wave |Va|, |Vb| and |Vc| from respective voltages detected by the diodes Dl1, D12
and D13 which are respectively connected to the probes PR1, PR2 and PR3 of the voltage
standing wave detector 31, and then, at step #5, there are calculated the absolute
value |Γo| and the phase eo of the reflection coefficient ro at the reference point
Ps
1 by calculating the solutions of the simultaneous equations (4) to (7). It is to be
noted that the admittance point of the admittance (referred to as a reference admittance
hereinafter) Yo corresponding to the calculated reflection coefficient Γo at the reference
point Psi is located at an intersection Po of the G = Go circle and the B = Bo circle
on the Smith chart, as shown in Fig. 11.
[0079] Thereafter, at step #6, it is judged whether the admittance point Po of the reference
admittance Yo detected by the voltage standing wave detector 31 is located within
a tuning region Rx
1 shown in Fig. 12, or a tuning region Ry
1 shown in Fig. 15. Then, if the admittance point Po is located within the tuning region
Rx
1, the program flow goes to step #7, and then, the impedance adjusting process using
the stubs S2 and S3 is executed so as to adjust the reference admittance Yo to the
above desirable admittance Ys, and the program flow goes to step #9. On the other
hand, if the admittance point Po is located within the tuning region Ry
1, the program flow goes to step #8, and then, the impedance adjusting process using
the stubs S1 and S2 is executed so as to adjust the reference admittance Yo to the
above desirable admittance Ys, and the program flow goes to step #9.
[0080] As shown in Fig. 12, the tuning region Rx
1 is a region located within the G = G = and is composed of a sum of:
(a) a region located within a G' = Gs circle which includes the admittance point Ps
of the admittance Ys on the Smith chart, and is tangent to the U = 1 straight line;
and
(b) a region of all the positive coordinate of the V-axis of the UV coordinates given
excluding a region located within a G = Gs circle which includes the admittance point
Ps and is tangent to the U = -1 straight line. If the admittance point Po of the reference
admittance Yo on the Smith chart is located in the tuning region Rxi, the reference
admittance Yo can be adjusted to the desirable admittance Ys using two stubs S2 and
S3.
[0081] Furthermore, as shown in Fig. 15, the tuning region Ry, is a region located within
the G = G = given excluding the tuning region Rxi. If the admittance point Po of the
reference admittance Yo is located in the tuning region Ry, on the Smith chart the
reference admittance Yo can be adjusted to the desirable admittance Ys using two stubs
S1 and S1.
[0082] It is to be noted that, if the admittance point Po is located on the G = Gs circle
of a boundary line between the tuning regions Rx
1 and Ryi, the above impedance adjusting process can be executed using only either
stub S1 or S3. On the other hand, if the admittance point Po is located on the G =
Gs circle of a boundary line between the tuning regions Rx
1 and Ryi, the above impedance adjusting process can be executed using only the stub
S2.
[0083] Furthermore, at step #9, it is judged whether or not the operation mode is set at
the repeat operation mode. If the operation mode is set at the repeat operation mode,
the program flow goes to step #4, and then, the processes from steps #4 are repeated.
On the other hand, if the operation mode is set at the single operation mode, the
impedance adjusting mode is completed.
[0084] The repeat operation mode is useful for adjusting the impedance seen looking toward
the load having a load impedance changing with a time such as the plasma generating
apparatus 30. Namely, at a time t0, there is calculated reflection coefficient ro
corresponding to the reference admittance Yo in the processes of steps #4 and #5.
However, if the load impedance at a time t1 defined after the time t0 is shifted from
the load impedance at the time t0, the reference admittance Yo after executing the
impedance adjusting process at step #7 or #8 is mismatched to the desirable admittance
Ys corresponding to the desirable reflection coefficient rs which has been previously
inputted at step #2. If the repeat operation mode is set in the automatic microwave
impedance adjusting apparatus, the automatic microwave impedance adjusting apparatus
has such an advantage that the impedance adjusting process can be executed depending
on a change in the load impedance of the load such as the plasma generating apparatus
30, even though the load impedance changes.
[0085] In order to match the impedance seen looking toward the microwave oscillator 10 to
the impedance seen looking toward the load of the plasma generating apparatus 30,
at step #2, "zero" and "any number" are inputted as the absolute value |Γs| and the
phase es of the reflection coefficient rs, respectively.
[0086] Furthermore, in the case of the load of the plasma generating apparatus 30, the reference
impedance seen looking toward the load may not become a certain desirable impedance
stably due to a frequent change in the load impedance of the plasma generating apparatus
30, even though the impedance adjusting process of the present preferred embodiment
is executed so that the reference impedance seen looking toward the load at the reference
point Ps, is matched to the impedance seen toward the microwave oscillator 10. In
this case, at step #2, there are inputted an absolute value |Γs| and a phase es of
a desirable reflection coefficient rs close to the impedance matching point located
at the origin O of the UV coordinates so as to adjust the above reference admittance
Yo to a desirable admittance Ys corresponding the above inputted reflection coefficient
rs, resulting in a stable reference impedance seen looking toward the load at the
reference point Ps
1.
(5-2) Subroutine of Impedance adjusting process using Stubs S2 and S3
[0087] Fig. 23 is a flowchart showing the subroutine of the impedance adjusting process
using the stubs S2 and S3 (step #7 of Fig. 22).
[0088] Referring to Fig. 23, first of all, at step #11, there is calculated a susceptance
Bo seen looking toward the load at the reference point Ps
1. using the equations (8) and (11) from the absolute value |Γb| and the phase eo of
the reflection coefficient ro at the reference point Ps, which have been calculated
at step #5, and then, at step #12, there are calculated the UV coordinates of an intersection
Pa of the G = Go circle and the G = Gs' circle shown in Fig. 13, using the equation
(12) and (17).
[0089] Thereafter, at step #13, there is calculated a susceptance Ba of the intersection
Pa from the UV coordinates of the intersection Pa, and then, at step #14, there is
calculated a susceptance B
3c to be connected by the stub S3 to the transmission line of the rectangular waveguide
13, which is expressed by the following equation (19):

[0090] The susceptance B
30 is a difference between respective susceptances of the admittance points Po and Pa
which are located on the G = Go circle on the Smith chart shown in Fig. 13.
[0091] Thereafter, at step #15, there is calculated a susceptance Ba' seen looking toward
the load at the point P
S2 of the stub S2 using the equation (11), as described above, from the UV coordinates
of the above susceptance Ba.
[0092] Thereafter, at step #16, there is calculated a susceptance 620 to be connected by
the stub S2 to the transmission line of the rectangular waveguide 13, which is expressed
by the following equation (20):

[0093] The susceptance B
20' is a difference between respective susceptances of the admittance points Ps and
Pa which are located on the G = Gs circle on the Smith chart shown in Fig. 14.
[0094] Thereafter, at step #17, there are calculated insertion lengths of the stubs S2 and
S3 using the relationship between the insertion length L thereof and the susceptance
B shown in Fig. 21 which has been previously measured, from the calculated susceptances
B
20' and B
3o, and then, at step #18, the stepping motors M2 and M3 are driven, respectively,
so that the stubs S2 and S3 are inserted into the rectangular waveguide 13 by the
calculated insertion lengths. Then, the reference admittance Yo is adjusted to the
desirable admittance Ys.
(5-3) Subroutine of Impedance adjusting process using Stubs S1 and S2
[0095] Fig. 24 is a flowchart showing the subroutine of the impedance adjusting process
using the stubs S1 and S2 (step #8 of Fig. 22).
[0096] Referring to Fig. 24, first of all, at step #21, there is calculated a susceptance
Bo seen looking toward the load at the point Ps
2 using the equations (15) and (16) from the absolute value |Γo| and the phase eo of
the reflection coefficient ro at the reference point Ps, which have been calculated
at step #5, and then, at step #22, there are calculated the UV coordinates of an intersection
Pb of the G = Go circle and the G = Gs circle shown in Fig. 16, using the equation
(12) and (17).
[0097] Thereafter, at step #23, there is calculated a susceptance Bb of the intersection
Pb from the UV coordinates of the intersection Pb, and then, at step #24, there is
calculated a susceptance B
20' to be connected by the stub S2 to the transmission line of the rectangular waveguide
13, which is expressed by the following equation (21):

[0098] The susceptance B
20' is a difference between respective susceptances of the admittance points Po and
Pb which are located on the G = Go circle on the Smith chart shown in Fig. 16.
[0099] Thereafter, at step #25, there is calculated a susceptance Bb seen looking toward
the load at the reference point Ps
1 using the equation (11), as described above, from the UV coordinates of the above
susceptance Bb .
[0100] Thereafter, at step #26, there is calculated a susceptance Bi
o to be connected by the stub S1 to the transmission line of the rectangular waveguide
13, which is expressed by the following equation (22):

[0101] The susceptance B, o is a difference between respective susceptances of the admittance
points Ps and Pb which are located on the G = Gs circle on the Smith chart shown in
Fig. 17.
[0102] Thereafter, at step #27, there are calculated insertion lengths of the stubs S1 and
S2 using the relationship between the insertion length L thereof and the susceptance
B shown in Fig. 21 which has been previously measured, from the calculated susceptances
B
10 and B
20', and then, at step #28, the stepping motors M1 and M2 are driven, respectively,
so that the stubs S1 and S2 are inserted into the rectangular waveguide 13 by the
calculated insertion lengths. Then, the reference admittance Yo is adjusted to the
desirable admittance Ys.
(6) Impedance matching process
[0103] Figs. 18 and 19 are Smith charts and complex planes of UV coordinates showing tuning
regions Rxo and Ry
o corresponding to the tuning regions Rx
1 and Ry
1, in the case of an impedance matching process for matching the reference admittance
Yo seen looking toward the load of the plasma generating apparatus 30 at the reference
point Ps
1 to the admittance Yso = 1/Zso seen looking toward the microwave oscillator 10 thereat.
[0104] In Figs. 18 and 19, the tuning region Rxo is a region where the impedance matching
process is executed using the stubs S2 and S3 when the admittance point Po of the
reference admittance Yo is located within the tuning region Rxo on the Smith chart,
and the tuning region Ryo is a region where the impedance matching process is executed
using the stubs S1 and S2 when the admittance point Po of the reference admittance
Yo is located within the tuning region Ryo on the Smith chart.
[0105] As shown in Figs. 18 and 19, the admittance point Ps of the desirable admittance
Ys becomes the origin Pso of the UV coordinates, and a boundary line between the tuning
regions Rxo and Ryo is composed of half the G = 1 circle for any positive coordinate
value of the V-axis of the UV coordinates, and half the G' = 1 circle for any negative
coordinate value of the V-axis of the UV coordinates.
[0106] The impedance matching process shown in Fig. 18 is executed in a manner similar to
that of the subroutine of step #7, and the impedance matching process shown in Fig.
19 is executed in a manner similar to that of the subroutine of step #8.
(7) Modifications
[0107] At step #6 of the present preferred embodiment, it is judged whether the admittance
point Po of the reference admittance Yo is located within the tuning region Rx, or
Ry
1, and then, the impedance adjusting process using the stubs S2 and S3 is executed
if the point Po is located within the tuning region Rxi, on the other hand, the impedance
adjusting process using the stubs S1 and S2 is executed if the point Po is located
within the tuning region Ryi. However, the present invention is not limited to this.
If the admittance point Po is located at a partial region (referred to as a tuning
region Rz
1 hereinafter) of the tuning region Ry, for any positive coordinate value of the V-axis
of the UV coordinates, an impedance adjusting process may be executed using all the
stubs S1, S2 and S3. Then, the reference admittance Yo can be adjusted to a desirable
admittance Ys, for a time shorter than that of the impedance adjusting process using
the stubs S1 and S2, in the above case.
[0108] Fig. 18 is a Smith chart and a complex plane of a UV coordinates showing an operation
of an impedance matching process using all the stubs S1, S2 and S3.
[0109] If the admittance point Po of the reference admittance Yo is located within a tuning
region Rzo on the Smith chart shown in Fig. 18, the impedance matching process is
executed using all the stubs S1, S2 and S3. wherein the tuning region Rz
o is a region located within half the G = 1 for any positive value of the V-axis of
the UV coordinates.
[0110] In the impedance matching process, as shown in the Smith chart of Fig. 20, the admittance
point Po of the reference admittance Yo is moved using the stub S3 to an intersection
Pa of the G = Go circle and the U-axis, and then, the admittance point Pa is moved
using the stub S2 to an intersection Pb of the G = 1 circle and a G = Ga', wherein
the G = Ga circle includes the admittance point Pa and is tangent to the U = 1 straight
line. Thereafter, the admittance point Pb is moved using the stub S1 to the impedance
matching point Pso. Thus, the susceptances of respective stubs S1, S2 and S3 are changed
so as to match the reference admittance Yo to the admittance Yso seen looking toward
the microwave oscillator 10 at the reference point Ps
i. The calculation of this impedance matching process is executed in a manner similar
to that of the subroutine of step #7 or #8.
[0111] In the present preferred embodiment, the apparatus for executing the impedance adjusting
process including the impedance matching process in the transmission line of the rectangular
waveguide is described. However, the present invention is not limited to this. The
present invention can be applied to an automatic microwave impedance adjusting apparatus
for adjusting an impedance seen looking toward a microwave load in the other kinds
of microwave transmission lines such as a microstrip line, a slot line, a coplanar
line.
[0112] In the present preferred embodiment, there are calculated the absolute value |Γo|
and the phase θo of the reflection coefficient ro at the reference point by the CPU
60 from the amplitudes of the voltage standing wave detected by respective probes
PR1, PR2 and PR3 by the standing wave measuring method using the probes PR1, PR2 and
PR3 and the diodes Dl1, D12 and D13. However, the present invention is not limited
to this. For example, after measuring the impedance seen looking to a load at a point
of a microwave transmission line by another measuring method for measuring the impedance
thereof, a reflection coefficient corresponding to the measured impedance may be calculated,
and then, the impedance adjusting process of the present invention may be executed.
[0113] In the voltage standing wave detector 31 of the present preferred embodiment, three
probes PR1, PR2 and PR3 are mounted at equal spaces of λg/6 in the longitudinal direction
of the rectangular waveguide 13. However, the present invention is not limited to
this. At least three probes may be mounted at different points at predetermined spaces,
one of which is not a product of any natural number and the length λg/2. Each space
between the probes is preferably set at a length equal to a product of any natural
number and the length Xg/6 except for products of any natural number and the length
xg/2. For example, when each space between the probes is set at the length xg
/3, the squares of the amplitudes of the voltage standing wave detected by respective
probes PR1, PR2 and PR3 are expressed as follows:



[0114] In the present preferred embodiment, the space in the longitudinal direction of the
rectangular waveguide 13 between the stub S1 and the probe .PR1 is set at the length
xg
/2 for convenience of the explanation. However, the present invention is not limited
to this. This space may be set at any distance.
[0115] In the present preferred embodiment, there are provided three stubs S1, S2 and S3
as susceptance elements to be connected to the transmission line of the rectangular
waveguide 13. However, the present invention is not limited to this. The other kinds
of microwave variable susceptance element may be used. A susceptance to be connected
thereto may be changed using at least two stubs depending on a desirable impedance
or a desirable admittance seen looking toward a load at a reference point of a microwave
transmission line.
[0116] Furthermore, in the present preferred embodiment, three stubs S1, S2 and S3 are mounted
at equal spaces of xg
/4 in the longitudinal direction of the rectangular waveguide 13. However, the present
invention is not limited to this. These stubs S1, S2 and S3 may be mounted at different
points at predetermined- spaces in the longitudinal direction of the rectangular waveguide
13 so that the spaces other than one space therebetween are not a product of any natural
number and the length xg/2.
[0117] At step #2 of Fig. 22 of the present preferred embodiment, there are inputted the
absolute value Irsl and the phase eo of the reflection coefficient rs corresponding
to the desirable impedance Zs seen looking toward the load at the reference point
Psi. However, the present invention is not limited to this. A resistance Rs and a
reactance Xs of a desirable impedance Zs may be inputted, or a conductance Gs and
a susceptance Bs of a desirable admittance Ys corresponding to a desirable impedance
Zs may be inputted.
[0118] It is understood that various other modifications will be apparent to and can be
readily made by those skilled in the art without departing from the scope and spirit
of the present invention. Accordingly, it is not intended that the scope of the claims
appended hereto be limited to the description as set forth herein, but rather that
the claims be construed as encompassing all the features of patentable novelty that
reside in the present invention, including all features that would be treated as equivalents
thereof by those skilled in the art to which the present invention pertains.