Magnetron Operation Explained
Magnetron Operation Explained
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A magnetron is a high power microwave oscillator in In order to sustain oscillations in a resonant circuit,
which the potential energy of an electron cloud near it is necessary to continuously input energy in the
the cathode is converted into r.f. energy in a series correct phase. Referring to Figure 2, if the instanta-
of cavity resonators similar to the one shown in neous r.f. field, due to steady state oscillations in
Figure 1. As depicted by the low frequency analog, the resonator, is in the direction shown, and, an
the rear wall of the structure may be considered the electron with velocity was to travel through the r.f.
inductive portion, and the vane tip region the capac- field such that the r.f. field retarded the electron
itor portion of the equivalent resonant circuit. The velocity by an amount, the decrease in electron
resonant frequency of a microwave cavity is there- energy will be exactly offset by an increase in the r.f.
by determined by the physical dimension of the field strength.
resonator together with the reactive effect of any
In a magnetron, the source of electrons is a heated
perturbations to the inductive or capacitive portion
cathode located on the axis of an anode structure
of the equivalent circuit. This is an important point
containing a number of microwave resonators. See
and will be recalled later.
Figure 3.
Figure 1 Figure 3
Magnetron Anode/
Resonator Cathode
Structure
As this cloud of electrons approaches the anode, it change (radians) between every adjacent pair of
falls under the influence of the r.f. fields at the vane resonator vanes and is therefore called the mode.
tips, and electrons will either be retarded in velocity, Other oscillation patterns (modes) could be
if they happen to face an opposing r.f. field, or supported by the anode structure; however, the
accelerated if they are in the vicinity of an aiding r.f. mode pattern will product the maximum number of
field. Since the force on an electron due to the mag- electron spokes, and therefore the maximum trans-
netic field B is proportional to the electron velocity fer of energy to the r.f. field, i.e., highest efficiency
through the field, the retarded velocity electrons will mode. Assuring that the magnetron maintains mode
experience less "curling force" and will therefore oscillation, to the exclusion of all other modes, is
drift toward the anode, while the accelerated veloci- one of the prime concerns of the magnetron
ty electrons will curl back away from the anode. designer.
The result is an automatic collection of electron The mode controlling techniques in a conventional
"spokes" as the cloud nears the anode (see Figure magnetron, e.g., electrically connecting alternate
4), with each spoke located at a resonator having vane tips together to assure identical potential,
an opposing r.f. field.On the next half cycle of r.f. employing geometrical similarities between alter-
oscillation, the r.f. field pattern will have reversed nate resonators to favor mode oscillation, will ade-
polarity and the spoke pattern will rotate to maintain quately maintain mode control in conventional mag-
its presence in an opposing field. netron anodes. Due to mode separation parame-
ters, the number of resonators in conventional mag-
netron anodes is limited and rarely exceeds 20
resonator vanes. Since the physical size of each
Figure 4 resonator is fixed by the desired output frequency,
Electron the overall size of the anode is limited, thereby
spokes in a restricting cathode dimensions and heat dissipation
magnetron capacity. The result is that at higher frequencies the
conventional magnetron has reduced power output
capability, lower reliability and a shorter operating
lifetime than can be realized at the lower microwave
frequencies.
The "automatic" synchronism between the electron
spoke pattern and the r.f. field polarity in a crossed The distinguishing feature of the coaxial magnetron
field device allows a magnetron to maintain relative- is the presence of a high Q stabilizing cavity
ly stable operation over a wide range of applied between the anode and the output waveguide.
input parameters. For example, a magnetron The theory of operation presented for a convention-
designed for an output power of 200 kw peak will al magnetron applies equally to the anode-cathode
operate quite well at 100 kw peak output by simply region of the coaxial structure. However, the coaxial
reducing the modulator drive level. stabilizing cavity affords very significant improve-
ments in overall magnetron performance.
You will note that the instantaneous r.f. field pattern,
shown in Figure 4, has exactly 180º of phase
Pushing Figure
The pushing figure of a magnetron is defined as the
change in magnetron frequency due to a change in
the peak cathode current. Referring back to the
Figure 7: Typical thermal drift curves earlier theory discussion, we noted that the
the resonant frequency of a vane resonator is deter- The primary importance of a low pushing figure
mined by its mechanical dimensions plus the reac- near the magnetron operating point is that the push-
tive effect of any perturbation. The presence of ing figure will determine intrapulse FM, and thereby
electrons in the vicinity of the vane tips affects the will affect the spectral quality of the transmitting
equivalent capacitance of the resonator by an pulse.
amount proportional to the density of the electrons
The Pulling Figure is defined as the maximum
and, since electron density is similarly related to
change in output frequency that results when an
peak pulse current, changes in pulse current level
external, fixed amplitude mismatch, located in the
will produce changes in output frequency. The
output waveguide, is moved through a distance of
pushing figure expressed in MHz/Amp is represent-
one half wavelength relative to the magnetron.
ed by the slope of a frequency vs. peak current
Stated somewhat less formally, the pulling figure is
curve plotted for a particular magnetron type.
a measure of a magnetron's ability to maintain a
constant output frequency against changes in load
mismatch.
During the design of a magnetron, the degree to
which the output waveguide is electrically coupled
to the internal resonator structure is selected to
optimize certain performance parameters. Strong
coupling increases output power and efficiency but
also increases time jitter and sensitivity to changes
to load mismatch. Generally, the coupling is chosen
to obtain the best compromise between efficiency
and stability.
Depending upon the phase relation between
incident and reflected power at the output port of a
Figure 8: Typical thermal pushing curve
magnetron, reflected power will appear as a reac-
tance across the coupling transformer and effec-
From the curve of Figure 8, it can be seen that the
tively change the degree of coupling. Therefore,
slope is not a constant over the full range of operat-
using a fixed mismatch and varying its distance
ing current. It is therefore meaningless to talk about
from the magnetron output port will cause the mag-
a specific value for the pushing figure unless one
netron frequency to shift and the output power to
also specifies the range of peak current over which
vary concurrently.
it applies.
To standardize the measurement values, pulling
It should be noted that since power output is propor-
figure is normally measured using a fixed 1.5:1
tional to peak current in a magnetron, the pushing
VSWR; however, in very high power magnetrons a
figure at peak current levels well below the normal
1.3:1 VSWR is often used. When referring to the
operating point of the magnetron are usually unim-
pulling figure of a magnetron one should always
portant because the power output at these current
indicate the VSWR value used in the measurement.
levels is low.
Frequency agility (FA) in regard to radar operations, For this reason, CPI produces a broad range of FA
is defined as the capability to tune the output tuning mechanisms for coaxial magnetrons; each
frequency of the radar with sufficient speed to mechanism offering the optimum combination of
produce a pulse-to-pulse frequency change greater parameters for a particular application.
than the amount required to effectively obtain
decorrelation of adjacent radar echoes. Frequency Agile Magnetron Classes
It has been firmly established that FA, together with Frequency agile magnetrons fall into four classes:
appropriate receiver integration circuits, affords
reduced target scintillation/glint, improved ability to • Dither Magnetrons (D) -- Output rf frequency
detect targets in a clutter environment, elimination varies periodically with a constant excursion,
of 2nd time around echoes, and improved resis- constant rate and a fixed-center frequency.
tance to electronic countermeasures, over that
possible with a fixed frequency or tunable radar • Tunable/Dither Magnetrons (T/D) -- Output rf
system. It is important to note that, with the excep- frequency varies periodically with a constant
tion of ECM resistance, increasing the excursion and constant rate.The center
pulse-to-pulse frequency spacing will increase the frequency may be slowly tuned by hand or by
amount of system performance improvement that external servomotor drive to any point within the
can be realized to a maximum occurring at the point tunable band.
where full pulse echo decorrelation is obtained
(nominally 1/tp). Pulse-to-pulse frequency spacings • Accutune(tm) Magnetrons (A) -- Output rf
greater than this critical value produce no further frequency variations are determined by the
increase in system performance, and, in fact, may waveshape of an externally generated, low
result in a performance decrease due to the large level, voltage signal. With appropriate selection
"IF" inaccuracies arising from the need for the AFC of a tuning waveshape, the Accutune magne-
to correct larger pulse to pulse frequency errors. tron combines the features of dither and
tunable/dither magnetrons.
On the other hand, as regards resistance to elec-
tronic jamming (ECCM), the greater the • Accusweep(tm) Magnetrons (As) -- Our best
pulse-to-pulse frequency spacing, the more difficult and most versatile tuning system. The output rf
it will be to center a jamming transmitter on the tuning rate and waveshape are infinitely
radarfrequency to effectively interfere with system variable within the design limits of each device.
operation. Customer inputs are typically any waveform
from random to square wave and a + 5 volt com-
Each radar system application must be considered mand.
separately to determine which FA parameters will
best satisfy the particular need. Just as the FA All CPI frequency-agile magnetrons provide a refer-
requirements of each radar differ, so also do the ence voltage output which is an accurate analog of
mechanisms differ for optimally producing the the instantaneous rf output frequency. This signal
required agility parameters. No single tuning greatly simplifies automatic frequency control of the
scheme has been found which will universally satis- system local oscillator frequency. The analog
fy the requirements of every FA application. voltage is produced either by a self-generating,
permanent magnet device requiring no external Using this relationship, one finds that a radar oper-
drive, or by a precision resolve or LVDT (Linear ating at a 0.5 s pulse duration will have efficient
Voltage Displacement Transducer) acting in decorrelation between target echoes if pulses differ
conjunction with one of CPI's solid-state frequency in frequency by at least 2 MHz. Note that the
readout modules. required frequency separation is a function only of
The Accutune and Accusweep magnetrons operate the pulse duration.
with a servo loop, feedback control, tuner drive and According to the plot of the figure, as frequency
thereby utilize CPI's solid-state servo amplifier separation increases above the value 1/T, pulse
together with the frequency readout module. decorrelation continues to improve, however, the
amount of improvement is negligibly small for large
Agile Magnetron Design Considerations
increases in pulse frequency separation. In practi-
At first glance one might conclude that the largest cal situations, the improvement in decorrelation
frequency change at the highest rate will give the obtained by increasing the frequency separation to
best radar performance. Unfortunately, this is not a values greater than 1/T is usually more than offset
true statement. by other factors. For example, as pulse-to-pulse
There have been many separate theoretical studies frequency difference increases, the receiver circuit-
and comprehensive experiments performed to ry needed to assure stable LO (Local Oscillator)
establish the relationship between radar perfor- tracking also increases, in both complexity and
mance improvement and pulse-to-pulse frequency physical size. The accuracy necessary for LO track-
difference. An understanding of the theoretical ing relates directly to the IF bandwidth needed to
basis for the conclusions reached in these efforts is pass the resultant video signal. Any increase in IF
important. In order to preserve the continuity of our bandwidth, needed to offset inaccuracies in LO
discussion, we will show only the results of these tracking, will reduce overall receiver sensitivity and
studies in this section. tend to defeat the original purpose. Experience has
shown that if one designs for pulse-to-pulse
Effective performance improvement is achieved frequency separation as near as possible to, but not
when the frequency difference between radar le ss than, 1 /T (where T is the shortest pulse dura-
pulses is large enough to eliminate any correlation tion used in the radar) optimum system perfor-
between the return echoes. A plot of correlation mance will be achieved. Experimental studies have
coefficient versus pulse to pulse frequency differ- shown that performance improvement varies as N,
ence is shown below. where N is the number of independent (decorrelat-
ed) pulses integrated within the receiver circuitry, up
to a maximum of 20 pulses.
CORRELATION
Agile Excursion = N/T Pulse duration - 0.25, 0.5 & 1.0 µSec.
Duty Ratio - 0.001
Pulses on target - 16 per scan
ONE CYCLE OF
AGILE RATE Using the formulas derived above one obtains:
Agile excursion = N/T = 16/0.25 = 64 MHz
Pulse to pulse frequency separation =
FREQUENCY
AGILE
EXCURSION
1/T = 1/ 0.25 = 4 MHz
PRR = Duty / T = 0.001/ (0.25x10-6)
TIME = 4000 Hz
Time for 16 pulses = 16/ 4000 = 0.004 Sec
Agile Rate* = 1/(2x0.004) = 125 Hz
ANODE
ASSEMBLY
Figure 4.
CATHODE
EMISSIVE CATHODE ASSEMBLY
MATERIAL
Figure 6.
Output
CATHODE SUPPORT The output circuit in a magnetron is that portion of
the device which provides the coupling to the exter-
nal load. The RF energy produced in the cavities
may be coupled by either a coaxial or waveguide
type of output. Figure 7 shows both types. The
coaxial design involves either a probe, a loop or a
tapped vane coupling to the anode and concentric
coaxial line through the vacuum envelope to the
output connector. Suitable matching sections must
HEATER be included along the line to provide for the correct
INSULATOR impedance transformations and coupled load which
Figure 5.
appears at the anode. The center conduction of the
coaxial line is insulated and supported along its
length by either glass or ceramic beads.
FLANGE
WAVEGUIDE
Figure 7.